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Professional browser-based statistics workspace
Statistical Analysis Studio: Free Online Statistical Calculators
Import a dataset, inspect data quality, select variables, compare suitable methods, run the exact calculator, and export a transparent result without leaving the statistical workspace.
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Core Statistical Calculators
Statistics Calculator
Calculate count, sum, mean, median, min, max, range, variance, standard deviation, and geometric mean.
Open workspaceCore Statistical Calculators
Excel Statistical Calculator
Upload an XLSX, CSV, or TSV file, clean the data, choose variables, and run descriptive statistics, correlation, t test, ANOVA, chi-square, or simple linear regression in the browser.
Open workspaceCore Statistical Calculators
Statistical Significance Calculator
Determine statistical significance for A/B proportions, two independent means, paired mean changes, or one mean, with p-values, confidence intervals, effect sizes, lift, power, and decisions.
Open workspaceT Tests
Independent Samples T Test Calculator
Compare two independent group means using the equal-variance pooled t test. Use Independent Samples T Test Calculator to validate group a data, group b data, alpha, alternative hypothesis and report n_a, n_b, mean_a, mean_b, mean_difference, pooled_sd with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
One-Way ANOVA Calculator
Compare three or more independent group means using one-way ANOVA. Use One-Way ANOVA Calculator to validate groups, alpha and report df_between, df_within, ss_between, ss_within, ms_between, ms_within with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
Chi-Square Test of Independence Calculator
Test whether two categorical variables are independent using a contingency table. Use Chi-Square Test of Independence Calculator to validate observed contingency table, alpha and report chi_square_statistic, df, p_value, cramers_v, decision, expected_table with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
Pearson Correlation Calculator
Calculate Pearson r for two continuous variables. Use Pearson Correlation Calculator to validate x values, y values, alpha and report n, correlation_coefficient, t_statistic, df, p_value, confidence_interval with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
Multiple Linear Regression Calculator
Fit a model with multiple predictors. Use Multiple Linear Regression Calculator to validate y outcome values, predictor matrix, one row per observation, alpha and report method, n, predictor_count, coefficients, intercept, slopes with method-specific calculations, diagnostics, and interpretation.
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Confirm the meaning, measurement level, labels, event level, missing codes and allowed study roles for each dataset column before building an analysis.
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Define the research objective, observation structure and exact variable roles. Recommendations use only assigned variables and update after every change.
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Review every saved analysis specification: selected method, dataset fingerprint, variable roles, options, exclusions and run time.
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Core Statistical Calculators
General analysis, statistical significance, test-statistic, spreadsheet, and guided statistical calculator tools.
Core Statistical Calculators
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Clopper–Pearson Interval Calculator
Calculate an exact confidence interval for a binomial proportion. Use Clopper–Pearson Interval Calculator to validate observed successes, total trials, confidence level percent and report sample proportion, lower bound, upper bound with method-specific calculations, diagnostics, and interpretation.
Open workspaceCore Statistical Calculators
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Confidence Interval Calculator
Calculate a confidence interval for a mean from mean, standard deviation, sample size, and confidence level.
Open workspaceCore Statistical Calculators
DataChart
Excel Statistical Calculator
Upload an XLSX, CSV, or TSV file, clean the data, choose variables, and run descriptive statistics, correlation, t test, ANOVA, chi-square, or simple linear regression in the browser.
Open workspaceCore Statistical Calculators
P-value Calculator
Calculate one-tailed or two-tailed p-values for z, t, chi-square, and F statistics. Use P-value Calculator to validate distribution, test statistic, degrees of freedom 1, degrees of freedom 2, tail type and report method, distribution, statistic, df1, df2, tail_type with method-specific calculations, diagnostics, and interpretation.
Open workspaceCore Statistical Calculators
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Statistical Significance Calculator
Determine statistical significance for A/B proportions, two independent means, paired mean changes, or one mean, with p-values, confidence intervals, effect sizes, lift, power, and decisions.
Open workspaceCore Statistical Calculators
Data
Statistics Calculator
Calculate count, sum, mean, median, min, max, range, variance, standard deviation, and geometric mean.
Open workspaceCore Statistical Calculators
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Test Statistic Calculator
Calculate z, t, chi-square, or F test statistics with degrees of freedom, p-values, critical values, effect sizes, and decisions.
Open workspaceDescriptive Statistics
Explore center, spread, shape, percentiles, and summaries from typed or uploaded data.
Descriptive Statistics
DataChart
Coefficient of Variation Calculator
Calculate relative dispersion as SD divided by mean. Use Coefficient of Variation Calculator to validate raw numeric data and report n, mean, standard_deviation, coefficient_of_variation with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Difference Between Coefficients of Variation Calculator
Compare relative variability between two independent samples. Use Difference Between Coefficients of Variation Calculator to validate mean a, sd a, sample size a, mean b, sd b, sample size b and report cv a, cv b, cv ratio, z statistic, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Five-Number Summary Calculator
Calculate min, Q1, median, Q3, and max. Use Five-Number Summary Calculator to validate raw numeric data and report n, min, q1, median, q3, max with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Interquartile Range Calculator
Calculate Q3 minus Q1. Use Interquartile Range Calculator to validate raw numeric data and report n, q1, q3, iqr with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Kurtosis Calculator
Calculate excess kurtosis. Use Kurtosis Calculator to validate raw numeric data and report n, mean, kurtosis with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Mean Calculator
Calculate the arithmetic mean from raw numeric data. Use Mean Calculator to validate raw numeric data and report n, missing_values, sum, mean with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Mean Median and Mode Calculator
Calculate mean, median, mode, frequency counts, sorted data, min, max, and range from one raw numeric data vector.
Open workspaceDescriptive Statistics
DataChart
Median Calculator
Find the middle value from sorted numeric data. Use Median Calculator to validate raw numeric data and report n, median with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Mode Calculator
Find the most frequent value or values. Use Mode Calculator to validate raw numeric data and report n, modes with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Percentile Rank Calculator
Calculate percentile rank for a value. Use Percentile Rank Calculator to validate raw numeric data, value to rank and report n, x_value, percentile_rank with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Quartiles Calculator
Calculate Q1, Q2, and Q3. Use Quartiles Calculator to validate raw numeric data and report n, q1, q2, q3 with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Range Calculator
Calculate maximum minus minimum. Use Range Calculator to validate raw numeric data and report n, min, max, range with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Skewness Calculator
Calculate distribution asymmetry. Use Skewness Calculator to validate raw numeric data and report n, mean, skewness with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Standard Deviation Calculator
Calculate sample or population standard deviation from raw data. Use Standard Deviation Calculator to validate raw numeric data, variance type and report n, mean, variance, standard_deviation, standard_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Standard Deviation Confidence Interval Calculator
Calculate a confidence interval for a population standard deviation under normality. Use Standard Deviation Confidence Interval Calculator to validate sample standard deviation, sample size, confidence level (%) and report sample sd, degrees of freedom, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Standard Error Calculator
Calculate standard error from sample data. Use Standard Error Calculator to validate raw numeric data and report n, standard_deviation, standard_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Variance Calculator
Calculate sample or population variance. Use Variance Calculator to validate raw numeric data, variance type and report n, mean, variance, denominator with method-specific calculations, diagnostics, and interpretation.
Open workspaceDescriptive Statistics
DataChart
Weighted Mean Calculator
Calculate a weighted mean from paired values and weights, including normalized weights and contribution details.
Open workspaceProbability and Distributions
Calculate probabilities, critical values, quantiles, and confidence limits for named distributions.
Probability and Distributions
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Beta Distribution Calculator
Calculate beta density, CDF and moments. Use Beta Distribution Calculator to validate alpha shape, beta shape, x between 0 and 1 and report density, cdf, upper tail, mean, variance, mode with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Beta-Binomial Distribution Calculator
Calculate beta-binomial probability with overdispersed success probability. Use Beta-Binomial Distribution Calculator to validate trials n, successes x, alpha shape, beta shape and report point probability, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Binomial Probability Calculator
Calculate binomial probability for n, p, and x. Use Binomial Probability Calculator to validate number of trials (n), success probability (p), success count (x), probability type and report trials, success_probability, successes, point_probability, probability with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Chi-Square Critical Value Calculator
Calculate a right-tail chi-square critical value. Use Chi-Square Critical Value Calculator to validate degrees of freedom, right-tail alpha and report critical value, cdf, right tail with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
Chart
Chi-Square Distribution Calculator
Calculate chi-square probabilities. Use Chi-Square Distribution Calculator to validate chi-square value, degrees of freedom, probability type and report method, chi_square_value, degrees_of_freedom, lower_tail, upper_tail, probability_type with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Continuous Uniform Distribution Calculator
Calculate density, CDF and moments for a continuous uniform variable. Use Continuous Uniform Distribution Calculator to validate minimum a, maximum b, x and report density, cdf, upper tail, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Discrete Uniform Distribution Calculator
Calculate probability and moments for equally likely integers. Use Discrete Uniform Distribution Calculator to validate minimum integer a, maximum integer b, integer x and report point probability, cdf, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Exponential Distribution Calculator
Calculate exponential density, CDF, survival and moments. Use Exponential Distribution Calculator to validate rate λ, x and report density, cdf, survival, mean, variance, median with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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F Critical Value Calculator
Calculate a right-tail F critical value. Use F Critical Value Calculator to validate numerator df, denominator df, right-tail alpha and report critical value, cdf, right tail with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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F Distribution Calculator
Calculate F distribution probabilities. Use F Distribution Calculator to validate f value, numerator df, denominator df, probability type and report method, f_value, numerator_df, denominator_df, lower_tail, upper_tail with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Gamma Distribution Calculator
Calculate gamma density, CDF and moments using shape-scale form. Use Gamma Distribution Calculator to validate shape k, scale θ, x and report density, cdf, upper tail, mean, variance, standard deviation with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Geometric Distribution Calculator
Calculate probability for trials until first success. Use Geometric Distribution Calculator to validate success probability p, trial k and report point probability, cdf, upper tail, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Hypergeometric Distribution Calculator
Calculate sampling-without-replacement probability. Use Hypergeometric Distribution Calculator to validate population size n, population successes k, sample size n, sample successes x and report point probability, cdf, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Laplace Distribution Calculator
Calculate double-exponential density, CDF and moments. Use Laplace Distribution Calculator to validate location μ, scale b, x and report density, cdf, upper tail, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Logistic Distribution Calculator
Calculate logistic density, CDF and moments. Use Logistic Distribution Calculator to validate location μ, scale s, x and report density, cdf, upper tail, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Lognormal Distribution Calculator
Calculate lognormal density, CDF and moments from log-scale parameters. Use Lognormal Distribution Calculator to validate log-scale mean μ, log-scale sd σ, x and report density, cdf, upper tail, mean, median, mode with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Multinomial Probability Calculator
Calculate probability of category counts across independent trials. Use Multinomial Probability Calculator to validate category counts, category probabilities and report trials, point probability, expected counts with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Negative Binomial Distribution Calculator
Calculate failures before the rth success. Use Negative Binomial Distribution Calculator to validate required successes r, failures x, success probability p and report point probability, cdf, mean failures, variance failures with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Normal Distribution Probability Calculator
Calculate normal probabilities from mean, SD, and x. Use Normal Distribution Probability Calculator to validate mean, standard deviation, x value, second x value for between, probability type and report method, mean, standard_deviation, x_value, x_value_2, z_value with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Normal Quantile Calculator
Calculate a normal-distribution quantile from probability. Use Normal Quantile Calculator to validate cumulative probability p, mean μ, sd σ and report z quantile, x quantile with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Pareto Distribution Calculator
Calculate Pareto density, CDF, survival and moments. Use Pareto Distribution Calculator to validate minimum x_m, shape α, x and report density, cdf, survival, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Poisson Probability Calculator
Calculate Poisson probability for lambda and x. Use Poisson Probability Calculator to validate lambda, event count (x), probability type and report method, lambda, event_count, probability_type, point_probability, lower_cumulative_probability with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Poisson Rate Confidence Interval Calculator
Calculate an approximate confidence interval for an event rate. Use Poisson Rate Confidence Interval Calculator to validate observed events, person-time, confidence level (%), rate multiplier and report rate, rate per multiplier, log standard error, ci lower, ci upper, ci lower per multiplier with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
Probability Calculator
Calculate complement, union, intersection, conditional, and independent-event probabilities.
Open workspaceProbability and Distributions
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Rayleigh Distribution Calculator
Calculate Rayleigh density, CDF and moments. Use Rayleigh Distribution Calculator to validate scale σ, x and report density, cdf, survival, mean, variance, mode with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Standard Normal Z Probability Calculator
Calculate standard normal probabilities. Use Standard Normal Z Probability Calculator to validate z value, probability type and report z_value, probability, lower_tail, upper_tail with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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T Critical Value Calculator
Calculate one- or two-sided Student t critical values. Use T Critical Value Calculator to validate degrees of freedom, alpha, critical-value type and report critical value, cumulative probability with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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T Distribution Calculator
Calculate Student t probabilities. Use T Distribution Calculator to validate t value, degrees of freedom, probability type and report method, t_value, degrees_of_freedom, lower_tail, upper_tail, probability_type with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Triangular Distribution Calculator
Calculate triangular density, CDF and moments. Use Triangular Distribution Calculator to validate minimum a, mode c, maximum b, x and report density, cdf, upper tail, mean, variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Truncated Normal Probability Calculator
Calculate conditional CDF inside lower and upper truncation limits. Use Truncated Normal Probability Calculator to validate mean μ, sd σ, lower truncation a, upper truncation b, x and report conditional cdf, conditional upper tail, normalization probability with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
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Weibull Distribution Calculator
Calculate Weibull density, CDF, survival and hazard. Use Weibull Distribution Calculator to validate shape k, scale λ, x and report density, cdf, survival, hazard, median with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Wilson Score Interval Calculator
Calculate a Wilson confidence interval for a binomial proportion. Use Wilson Score Interval Calculator to validate successes, trials, confidence level (%) and report sample proportion, z critical, center, margin, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceProbability and Distributions
DataChart
Zero-Inflated Poisson Probability Calculator
Calculate ZIP point probability and moments. Use Zero-Inflated Poisson Probability Calculator to validate poisson mean λ, structural-zero probability π, event count x and report point probability, mean, variance, poisson component with method-specific calculations, diagnostics, and interpretation.
Open workspaceCollection
Compare Groups and Test Hypotheses
Z Tests
Run mean and proportion tests that use the standard normal reference distribution.
Z Tests
DataChart
Confidence Interval for Mean with Known Sigma
Estimate a population mean when sigma is known. Use Confidence Interval for Mean with Known Sigma to validate sample mean, known population sd, sample size, alpha and report sample_mean, population_sd, sample_size, z_critical, standard_error, margin_of_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
DataChart
Confidence Interval for Population Proportion
Estimate a population proportion. Use Confidence Interval for Population Proportion to validate successes, sample size, alpha and report method, successes, failures, sample_size, sample_proportion, alpha with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
DataChart
One Proportion Z Test Calculator
Test a single population proportion. Use One Proportion Z Test Calculator to validate successes, sample size, null proportion, alpha, alternative hypothesis and report method, successes, failures, sample_size, sample_proportion, null_proportion with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
Data
One Sample Z Test Calculator
Test a sample mean against a null mean when the population standard deviation is known. Use One Sample Z Test Calculator to validate sample mean, null mean, known population standard deviation, sample size, alpha, alternative hypothesis and report sample_mean, null_mean, population_sd, sample_size, standard_error, z_statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
DataChart
Two Proportion Z Test Calculator
Compare two population proportions. Use Two Proportion Z Test Calculator to validate successes a, sample size a, successes b, sample size b, alpha, alternative hypothesis and report method, successes_a, failures_a, successes_b, failures_b, n_a with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
DataChart
Two Sample Z Test Calculator
Compare two means with known population standard deviations. Use Two Sample Z Test Calculator to validate sample mean a, sample mean b, known population sd a, known population sd b, sample size a, sample size b and report mean_a, mean_b, mean_difference, sigma_a, sigma_b, n_a with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
Data
Z Score Calculator
Calculate a standardized z score from x, mean, and standard deviation. Use Z Score Calculator to validate x value, mean, standard deviation and report x_value, mean, standard_deviation, z_score with method-specific calculations, diagnostics, and interpretation.
Open workspaceZ Tests
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Z Test Statistic Calculator
Calculate z statistics for standardized scores, one or two means, and one or two proportions with p-values and confidence intervals.
Open workspaceT Tests
Compare one mean, two independent groups, or paired measurements with estimated variance.
T Tests
DataChart
Confidence Interval for Mean with Unknown Sigma
Estimate a population mean using t distribution. Use Confidence Interval for Mean with Unknown Sigma to validate raw numeric data, alpha and report method, n, mean, sample_standard_deviation, standard_error, df with method-specific calculations, diagnostics, and interpretation.
Open workspaceT Tests
DataChart
Independent Samples T Test Calculator
Compare two independent group means using the equal-variance pooled t test. Use Independent Samples T Test Calculator to validate group a data, group b data, alpha, alternative hypothesis and report n_a, n_b, mean_a, mean_b, mean_difference, pooled_sd with method-specific calculations, diagnostics, and interpretation.
Open workspaceT Tests
DataChart
One Sample T Test Calculator
Test whether a sample mean differs from a hypothesized mean using sample data and Student t distribution.
Open workspaceT Tests
DataChart
Paired Samples T Test Calculator
Compare paired observations by testing the mean of within-pair differences. Use Paired Samples T Test Calculator to validate before data, after data, alpha, alternative hypothesis and report n, mean_difference, sd_difference, standard_error, df, t_statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceT Tests
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Standardized Test Statistic Calculator
Calculate a standardized z or t statistic for one-sample and two-sample mean problems, including p-values and degrees of freedom.
Open workspaceT Tests
DataChart
Welch Independent Samples T Test Calculator
Compare two means without assuming equal variances. Use Welch Independent Samples T Test Calculator to validate group a data, group b data, alpha, alternative hypothesis and report n_a, n_b, mean_a, mean_b, mean_difference, standard_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
Compare several means across independent, repeated, factorial, robust, or covariate-adjusted designs.
ANOVA Family
DataChart
ANCOVA Calculator
Compare adjusted group means while controlling for a continuous covariate. Use ANCOVA Calculator to validate dependent outcome values, independent group codes, covariate values, alpha and report sample size, groups, covariate coefficient, adjusted group f, df group, df error with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
DataChart
Brown-Forsythe ANOVA Calculator
Test equality of group means under unequal variances using the Brown-Forsythe F-star method.
Open workspaceANOVA Family
DataChart
One-Way ANOVA Calculator
Compare three or more independent group means using one-way ANOVA. Use One-Way ANOVA Calculator to validate groups, alpha and report df_between, df_within, ss_between, ss_within, ms_between, ms_within with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
DataChart
Repeated Measures ANOVA Calculator
Analyze within-subject repeated measurements. Use Repeated Measures ANOVA Calculator to validate data matrix, alpha and report subjects, conditions, ss_condition, ss_subjects, ss_error, df_condition with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
DataChart
Two-Way ANOVA With Replication Calculator
Analyze two factors with replication. Use Two-Way ANOVA With Replication Calculator to validate cells as a,b:value list, alpha and report factor_a_levels, factor_b_levels, ss_factor_a, ss_factor_b, ss_interaction, ss_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
DataChart
Two-Way ANOVA Without Replication Calculator
Analyze two factors without replicated cells. Use Two-Way ANOVA Without Replication Calculator to validate data matrix, alpha and report rows, columns, ss_rows, ss_columns, ss_error, df_rows with method-specific calculations, diagnostics, and interpretation.
Open workspaceANOVA Family
DataChart
Welch ANOVA Calculator
Compare group means with unequal variances. Use Welch ANOVA Calculator to validate groups, alpha and report weighted_mean, correction, df_between, df_within, f_statistic, p_value with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
Identify the groups that differ after an omnibus analysis while controlling multiplicity.
Post Hoc Tests
DataChart
Bonferroni Pairwise Comparisons Calculator
Run pairwise tests with Bonferroni adjustment. Use Bonferroni Pairwise Comparisons Calculator to validate groups, alpha and report method, comparison_count, mse, df_error, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Conover Post Hoc Test Calculator
Perform pairwise rank comparisons after a Kruskal–Wallis test with Holm adjustment. Use Conover Post Hoc Test Calculator to validate named groups, one per line, alpha and report groups, pair count, minimum adjusted p, significant pairs with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Dunnett Test Calculator
Compare treatments against a control. Use Dunnett Test Calculator to validate groups, control group name, alpha and report method, control_group, group_summaries, mse, df_error, correlation_matrix with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Dunn’s Post Hoc Test Calculator
Run pairwise rank comparisons after a significant Kruskal–Wallis test with multiplicity adjustment.
Open workspacePost Hoc Tests
DataChart
Fisher LSD Calculator
Run Fisher least significant difference comparisons. Use Fisher LSD Calculator to validate groups, alpha and report method, comparison_count, mse, df_error, omnibus_f, omnibus_p_value with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Games-Howell Calculator
Run unequal variance post hoc comparisons. Use Games-Howell Calculator to validate groups, alpha and report method, comparison_count, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Nemenyi Post Hoc Test Calculator
Compare all treatment pairs after a Friedman test using mean-rank differences. Use Nemenyi Post Hoc Test Calculator to validate rows are blocks; columns are treatments, alpha and report blocks, treatments, critical difference, maximum rank difference, significant pairs with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Ryan-Einot-Gabriel-Welsch Calculator
Run REGW post hoc comparisons. Use Ryan-Einot-Gabriel-Welsch Calculator to validate groups, alpha and report method, comparison_count, mse, df_error, ordered_means, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Scheffe Test Calculator
Run Scheffe post hoc comparisons. Use Scheffe Test Calculator to validate groups, alpha and report method, comparison_count, mse, df_error, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Steel–Dwass Pairwise Test Calculator
Compare every pair of independent groups using tie-adjusted Wilcoxon rank sums. Use Steel–Dwass Pairwise Test Calculator to validate named groups, one per line, alpha and report groups, pair count, maximum absolute z, minimum adjusted p, significant pairs with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Student-Newman-Keuls Calculator
Run SNK post hoc comparisons. Use Student-Newman-Keuls Calculator to validate groups, alpha and report method, comparison_count, mse, df_error, ordered_means, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Tamhane T2 Calculator
Run unequal variance Tamhane T2 comparisons. Use Tamhane T2 Calculator to validate groups, alpha and report method, comparison_count, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Tukey HSD Calculator
Run Tukey pairwise comparisons after ANOVA. Use Tukey HSD Calculator to validate groups, alpha and report method, group_summaries, mse, df_error, equal_group_size, q_critical with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Tukey-Kramer Calculator
Run Tukey-Kramer comparisons for unequal sample sizes. Use Tukey-Kramer Calculator to validate groups, alpha and report method, comparison_count, mse, df_error, comparisons with method-specific calculations, diagnostics, and interpretation.
Open workspacePost Hoc Tests
DataChart
Waller-Duncan Calculator
Run Waller-Duncan post hoc comparisons. Use Waller-Duncan Calculator to validate groups, type i / type ii loss ratio (k), alpha and report method, group_summaries, mse, df_between, df_error, omnibus_f with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
Analyze counts, contingency tables, exact tests, association, homogeneity, and matched categories.
Chi-Square Tests
DataChart
Barnard Exact Test Calculator
Compare two independent binomial proportions using Barnard’s unconditional exact test. Use Barnard Exact Test Calculator to validate group a successes, group a failures, group b successes, group b failures, alpha and report score statistic, maximizing nuisance probability, exact p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
DataChart
Boschloo Exact Test Calculator
Compare two independent proportions using Boschloo’s exact unconditional test based on Fisher p-values.
Open workspaceChi-Square Tests
DataChart
Bowker Symmetry Test Calculator
Test symmetry of a square paired-category table. Use Bowker Symmetry Test Calculator to validate square paired-category table, alpha and report categories, chi square, degrees of freedom, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Breslow–Day Homogeneity Test Calculator
Test whether stratum-specific odds ratios are homogeneous across multiple 2×2 tables. Use Breslow–Day Homogeneity Test Calculator to validate strata as a,b,c,d; one line per stratum, alpha and report common odds ratio, chi square, degrees of freedom, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Chi-Square Goodness of Fit Calculator
Compare observed and expected frequencies. Use Chi-Square Goodness of Fit Calculator to validate observed frequencies, expected frequencies, alpha and report method, categories, observed_total, expected_total, observed_frequencies, expected_frequencies with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Chi-Square Test of Homogeneity Calculator
Compare distributions across populations. Use Chi-Square Test of Homogeneity Calculator to validate contingency table, alpha and report method, rows, columns, observed_table, expected_table, contribution_table with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Chi-Square Test of Independence Calculator
Test whether two categorical variables are independent using a contingency table. Use Chi-Square Test of Independence Calculator to validate observed contingency table, alpha and report chi_square_statistic, df, p_value, cramers_v, decision, expected_table with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Cochran–Mantel–Haenszel Test Calculator
Test a common association between two binary variables while controlling for strata. Use Cochran–Mantel–Haenszel Test Calculator to validate strata as a,b,c,d; one line per stratum, alpha and report mantel–haenszel odds ratio, cmh chi square, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Cramer V Calculator
Calculate Cramer V effect size. Use Cramer V Calculator to validate contingency table, alpha and report method, rows, columns, n, row_totals, column_totals with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Exact Binomial Test Calculator
Test whether an observed binary event count differs from a hypothesized probability. Use Exact Binomial Test Calculator to validate observed successes, total trials, null event probability, alternative, alpha and report observed proportion, exact p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Fisher Exact Test Calculator
Calculate exact probability for a 2x2 table. Use Fisher Exact Test Calculator to validate contingency table, alpha and report method, cell_a, cell_b, cell_c, cell_d, row_totals with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Fisher–Freeman–Halton 2×3 Test Calculator
Calculate an exact independence test for a 2×3 contingency table with fixed margins. Use Fisher–Freeman–Halton 2×3 Test Calculator to validate first row counts, second row counts, alpha and report observed table probability, exact p value, tables enumerated, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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Likelihood Ratio G Test Calculator
Calculate likelihood-ratio chi-square for a contingency table. Use Likelihood Ratio G Test Calculator to validate contingency table, alpha and report rows, columns, g statistic, degrees of freedom, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceChi-Square Tests
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McNemar Test Calculator
Test marginal change in paired binary outcomes. Use McNemar Test Calculator to validate before positive / after negative b, before negative / after positive c, continuity correction, alpha and report discordant total, chi square, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
Analyze ranks, medians, signs, trends, distributions, or random sequences with fewer distribution assumptions.
Nonparametric Tests
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Ansari–Bradley Scale Test Calculator
Compare the dispersion of two independent samples using symmetric rank scores. Use Ansari–Bradley Scale Test Calculator to validate group a scores, group b scores, alpha and report ab statistic, z statistic, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Brunner–Munzel Test Calculator
Compare two independent groups without assuming equal variances or identical distribution shapes.
Open workspaceNonparametric Tests
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Cochran Q Test Calculator
Compare three or more related binary treatments. Use Cochran Q Test Calculator to validate rows = subjects; columns = binary conditions, alpha and report subjects, conditions, cochran q, degrees of freedom, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Friedman Test Calculator
Analyze repeated/block ranked data. Use Friedman Test Calculator to validate data matrix, alpha and report method, blocks, treatments, rank_matrix, treatment_summaries, friedman_statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Jonckheere–Terpstra Trend Test Calculator
Test an ordered alternative across three or more independent groups. Use Jonckheere–Terpstra Trend Test Calculator to validate ordered independent groups, alpha and report groups, sample size, j statistic, expected j, variance j, z statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Kolmogorov-Smirnov Test Calculator
Compare empirical distributions. Use Kolmogorov-Smirnov Test Calculator to validate sample a, sample b, alpha and report method, n_a, n_b, effective_n, d_statistic, max_difference_at with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Kruskal-Wallis Test Calculator
Compare three or more groups using ranks. Use Kruskal-Wallis Test Calculator to validate groups, alpha and report method, groups_count, total_n, group_summaries, raw_h_statistic, tie_groups with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Mann-Whitney U Test Calculator
Compare two independent groups using ranks. Use Mann-Whitney U Test Calculator to validate groups, alpha and report method, group_a, group_b, n_a, n_b, rank_sum_a with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Mood’s Median Test Calculator
Compare medians across two or more independent groups using counts above and below the pooled median.
Open workspaceNonparametric Tests
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Page Trend Test Calculator
Test an ordered alternative across related treatments using within-block ranks. Use Page Trend Test Calculator to validate rows are blocks; columns follow the predicted order, alpha and report page l, z statistic, one-sided p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Paired Permutation Test Calculator
Test a paired mean difference by randomly reversing the signs of within-pair differences. Use Paired Permutation Test Calculator to validate dependent measure before, dependent measure after, permutations, alpha and report pairs, mean difference, permutations, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Quade Test Calculator
Compare three or more related treatments using block ranks weighted by block range. Use Quade Test Calculator to validate rows are blocks; columns are treatments, alpha and report blocks, treatments, f statistic, df 1, df 2, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Runs Test Calculator
Test sequence randomness. Use Runs Test Calculator to validate binary or sign sequence, alpha and report method, n, category_values, category_one_count, category_zero_count, runs with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Savage Scores Test Calculator
Compare two independent samples with a rank test emphasizing upper-tail differences. Use Savage Scores Test Calculator to validate group a scores, group b scores, alpha and report group a savage score sum, z statistic, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Siegel–Tukey Scale Test Calculator
Compare dispersion of two independent groups using extreme-rank ordering. Use Siegel–Tukey Scale Test Calculator to validate independent group a scores, independent group b scores, alpha and report rank sum group a, u statistic, z statistic, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Sign Test Calculator
Test paired signs. Use Sign Test Calculator to validate before data, after data, alpha and report method, pairs, non_tied_pairs, positive_signs, negative_signs, ties with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Two-Sample Permutation Test Calculator
Compare two independent group means using an exact or Monte Carlo randomization distribution.
Open workspaceNonparametric Tests
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Van der Waerden Normal Scores Test Calculator
Compare several independent groups after converting pooled ranks to normal scores. Use Van der Waerden Normal Scores Test Calculator to validate independent groups, alpha and report groups, sample size, f statistic, df between, df within, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Wald–Wolfowitz Runs Test Calculator
Compare two independent distributions using runs in the pooled ordered sample. Use Wald–Wolfowitz Runs Test Calculator to validate independent group a scores, independent group b scores, alpha and report runs, expected runs, variance runs, z statistic, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNonparametric Tests
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Wilcoxon Signed-Rank Test Calculator
Analyze paired signed ranks. Use Wilcoxon Signed-Rank Test Calculator to validate before data, after data, alpha and report method, pairs, nonzero_pairs, positive_differences, negative_differences, zero_differences with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
Check normality, variance equality, sphericity, factorability, and model conditions.
Normality and Assumption Tests
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Anderson-Darling Test Calculator
Test goodness of fit with tail sensitivity. Use Anderson-Darling Test Calculator to validate raw numeric data, alpha and report method, n, fitted_mean, fitted_sample_sd, a_squared, adjusted_a_squared with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Bartlett Test Calculator
Test equal variances under normality. Use Bartlett Test Calculator to validate groups, alpha and report method, group_summaries, pooled_variance, correction_factor, chi_square_statistic, df with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Brown-Forsythe Test Calculator
Robust equality-of-variances test. Use Brown-Forsythe Test Calculator to validate groups, alpha and report method, group_centers, ss_between_deviations, ss_within_deviations, df_between, df_within with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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D Agostino-Pearson Test Calculator
Test normality from skewness and kurtosis. Use D Agostino-Pearson Test Calculator to validate raw numeric data, alpha and report method, n, biased_skewness, biased_excess_kurtosis, skew_z, kurtosis_z with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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F Test for Two Variances Calculator
Compare two population variances from independent normally distributed samples. Use F Test for Two Variances Calculator to validate sample sd a, sample size a, sample sd b, sample size b, alpha and report variance ratio, df numerator, df denominator, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Fligner–Killeen Test Calculator
Test equality of variances across groups with a robust rank-based procedure. Use Fligner–Killeen Test Calculator to validate groups, one line per group, alpha and report groups, sample size, chi square, degrees of freedom, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Jarque-Bera Test Calculator
Test normality from skewness and kurtosis. Use Jarque-Bera Test Calculator to validate raw numeric data, alpha and report method, n, biased_skewness, biased_excess_kurtosis, jb_statistic, df with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Kolmogorov-Smirnov Normality Test Calculator
Test normality using KS method. Use Kolmogorov-Smirnov Normality Test Calculator to validate raw numeric data, alpha and report method, n, fitted_mean, fitted_sample_sd, d_plus, d_minus with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Levene Test Calculator
Test equality of variances. Use Levene Test Calculator to validate groups, alpha and report method, group_centers, ss_between_deviations, ss_within_deviations, df_between, df_within with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Mauchly Sphericity Test Calculator
Test sphericity in repeated measures. Use Mauchly Sphericity Test Calculator to validate data matrix, alpha and report method, subjects, conditions, covariance_matrix, contrast_matrix, transformed_covariance with method-specific calculations, diagnostics, and interpretation.
Open workspaceNormality and Assumption Tests
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Shapiro-Wilk Test Calculator
Test normality using Shapiro-Wilk. Use Shapiro-Wilk Test Calculator to validate raw numeric data, alpha and report method, n, w_statistic, p_value, alpha, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceCollection
Relationships, Prediction, and Models
Correlation Tests
Measure continuous, ordinal, binary, partial, concordance, and time-lagged association.
Correlation Tests
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Autocorrelation Calculator
Calculate lagged correlation in ordered data. Use Autocorrelation Calculator to validate raw numeric data, lag and report method, n, lag, mean, variance_denominator, autocorrelation with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Correlation Confidence Interval Calculator
Calculate a confidence interval for a Pearson correlation using Fisher z transformation. Use Correlation Confidence Interval Calculator to validate pearson correlation r, sample size, confidence level (%) and report correlation, fisher z, standard error, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Difference Between Two Correlations Calculator
Compare two independent Pearson correlations using Fisher z transformation. Use Difference Between Two Correlations Calculator to validate correlation a, sample size a, correlation b, sample size b, alpha and report fisher z difference, p value, decision with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Kendall Tau Correlation Calculator
Calculate concordance-based Kendall tau. Use Kendall Tau Correlation Calculator to validate x values, y values, alpha and report method, n, total_pairs, kendall_tau_b, concordant_pairs, discordant_pairs with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Partial Correlation Calculator
Calculate correlation controlling for covariates. Use Partial Correlation Calculator to validate x values, y values, control variable z, alpha and report method, n, control_variables, partial_correlation, r_xy, r_xz with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Pearson Correlation Calculator
Calculate Pearson r for two continuous variables. Use Pearson Correlation Calculator to validate x values, y values, alpha and report n, correlation_coefficient, t_statistic, df, p_value, confidence_interval with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Phi Coefficient Calculator
Measure association for a 2x2 table. Use Phi Coefficient Calculator to validate 2x2 table, alpha and report method, observed_table, expected_table, row_totals, column_totals, n with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Point-Biserial Correlation Calculator
Correlate one binary and one continuous variable. Use Point-Biserial Correlation Calculator to validate binary variable (0/1), continuous variable, alpha and report method, n, n_zero, n_one, mean_zero, mean_one with method-specific calculations, diagnostics, and interpretation.
Open workspaceCorrelation Tests
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Spearman Rank Correlation Calculator
Calculate correlation after ranking both variables. Use Spearman Rank Correlation Calculator to validate x values, y values, alpha and report method, n, x_ranks, y_ranks, tie_sizes_x, tie_sizes_y with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
Fit linear and generalized prediction models with coefficients, uncertainty, fit, and diagnostics.
Regression Tests
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Adjusted R-Squared Calculator
Calculate adjusted R-squared. Use Adjusted R-Squared Calculator to validate observed values, predicted values, predictor count and report method, n, predictor_count, df_total, df_residual, ss_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Deming Regression Calculator
Fit an errors-in-variables line when both X and Y contain measurement error. Use Deming Regression Calculator to validate independent variable x, dependent variable y, y-error variance / x-error variance and report intercept, slope, r squared, residual sd with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Huber Robust Regression Calculator
Fit a robust linear model using Huber-loss iteratively reweighted least squares. Use Huber Robust Regression Calculator to validate independent variable x, dependent variable y, huber tuning constant and report intercept, slope, robust scale, iterations, downweighted points with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Logistic Regression Calculator
Fit a binary outcome logit model. Use Logistic Regression Calculator to validate binary outcome (0/1), predictor values, alpha and report method, n, events, intercept, slope, odds_ratio with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Median Quantile Regression Calculator
Fit a conditional quantile using a stabilized iteratively reweighted check-loss line. Use Median Quantile Regression Calculator to validate independent variable x, dependent variable y, quantile and report intercept, slope, weighted absolute loss, iterations with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Multiple Linear Regression Calculator
Fit a model with multiple predictors. Use Multiple Linear Regression Calculator to validate y outcome values, predictor matrix, one row per observation, alpha and report method, n, predictor_count, coefficients, intercept, slopes with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Negative Binomial Regression Calculator
Fit a count regression model with log link and specified overdispersion. Use Negative Binomial Regression Calculator to validate dependent count outcome, independent predictor, negative-binomial dispersion alpha and report intercept, predictor coefficient, incidence rate ratio, standard error, z statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Passing–Bablok Regression Calculator
Fit a robust method-comparison line from the median of eligible pairwise slopes. Use Passing–Bablok Regression Calculator to validate reference method values, comparison method values, confidence level percent and report intercept, slope, slope ci lower, slope ci upper, pairs used with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Poisson Regression Calculator
Model a count outcome as a log-linear function of one predictor. Use Poisson Regression Calculator to validate dependent count outcome, independent predictor and report intercept, slope, incidence rate ratio, standard error slope, z statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Polynomial Regression Calculator
Fit a polynomial regression model. Use Polynomial Regression Calculator to validate x values, y values, polynomial degree, alpha and report method, n, degree, coefficients, equation, r_squared with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Probit Regression Calculator
Fit a binary-outcome regression model using the standard-normal inverse link. Use Probit Regression Calculator to validate dependent binary outcome 0/1, independent predictor, alpha and report intercept, predictor coefficient, standard error, z statistic, p value, iterations with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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R-Squared Calculator
Calculate coefficient of determination. Use R-Squared Calculator to validate observed values, predicted values, predictor count and report method, n, mean_observed, ss_regression_identity, ss_error, ss_total with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Residual Calculator
Calculate observed minus predicted residuals. Use Residual Calculator to validate observed values, predicted values and report method, n, residuals, residual_sum, mean_residual, sse with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Ridge Regression Calculator
Fit multiple linear regression with an L2 penalty on predictor coefficients. Use Ridge Regression Calculator to validate dependent outcome y, independent predictor matrix, ridge penalty lambda and report sample size, predictors, lambda, intercept, r squared, rmse with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Simple Linear Regression Calculator
Fit a straight-line regression equation for one predictor and one outcome. Use Simple Linear Regression Calculator to validate x predictor values, y outcome values, alpha and report intercept, slope, equation, r, r_squared, standard_error with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Theil–Sen Regression Calculator
Fit a robust line using the median of all finite pairwise slopes. Use Theil–Sen Regression Calculator to validate independent variable x, dependent variable y and report intercept, slope, median absolute residual, pairs used with method-specific calculations, diagnostics, and interpretation.
Open workspaceRegression Tests
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Weighted Least Squares Regression Calculator
Fit a linear regression with observation-specific weights. Use Weighted Least Squares Regression Calculator to validate independent predictor x, dependent outcome y, observation weights and report intercept, slope, standard error slope, t statistic, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
Evaluate residual error, influence, collinearity, information criteria, calibration, and prediction accuracy.
Model Diagnostics
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Akaike Information Criterion Calculator
Calculate AIC from maximized log likelihood and parameter count. Use Akaike Information Criterion Calculator to validate maximized log likelihood, estimated parameters k and report akaike information criterion with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Bayesian Information Criterion Calculator
Calculate BIC from log likelihood, parameter count and sample size. Use Bayesian Information Criterion Calculator to validate maximized log likelihood, estimated parameters k, sample size n and report bayesian information criterion with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Binary Concordance Index Calculator
Calculate rank discrimination (AUC/concordance) from binary outcomes and scores. Use Binary Concordance Index Calculator to validate observed outcomes 0/1, prediction scores and report positives, negatives, comparable pairs, concordance index, discordance rate with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Brier Score Calculator
Calculate mean squared error of probabilistic binary forecasts. Use Brier Score Calculator to validate observed outcomes 0/1, predicted probabilities and report n, brier score, brier skill against prevalence with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Cooks Distance Calculator
Calculate Cook distance for one regression observation. Use Cooks Distance Calculator to validate residual e_i, leverage h_ii, number of parameters p, model mse and report cooks distance, common threshold, influential flag with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Corrected AIC Calculator
Calculate small-sample corrected Akaike information criterion. Use Corrected AIC Calculator to validate maximized log likelihood, estimated parameters k, sample size n and report aic, correction, corrected aic with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Durbin-Watson Statistic Calculator
Calculate first-order residual autocorrelation diagnostic. Use Durbin-Watson Statistic Calculator to validate ordered residuals and report n, numerator, denominator, durbin watson, approximate autocorrelation with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Mallows Cp Calculator
Calculate Mallows Cp for subset regression. Use Mallows Cp Calculator to validate subset model sse, full model mse, sample size n, subset parameters p and report mallows cp, ideal value, difference from ideal with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Mean Absolute Error Calculator
Calculate MAE from observed and predicted values. Use Mean Absolute Error Calculator to validate observed values, predicted values and report n, sum absolute error, mean absolute error with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Mean Absolute Percentage Error Calculator
Calculate MAPE while excluding zero observed denominators. Use Mean Absolute Percentage Error Calculator to validate observed values, predicted values and report valid n, excluded zero observations, mean absolute percentage error with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Odds Ratio Confidence Interval Calculator
Convert a logistic coefficient and SE to odds ratio and CI. Use Odds Ratio Confidence Interval Calculator to validate logistic coefficient β, standard error, confidence level (%) and report odds ratio, ci lower, ci upper, z statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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PRESS Statistic Calculator
Calculate prediction residual sum of squares from residuals and leverages. Use PRESS Statistic Calculator to validate residuals, leverages and report n, press statistic, press rmse with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Rate Ratio Confidence Interval Calculator
Convert a log-rate coefficient and SE to rate ratio and CI. Use Rate Ratio Confidence Interval Calculator to validate log-rate coefficient β, standard error, confidence level (%) and report incidence rate ratio, ci lower, ci upper, z statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Regression Coefficient Confidence Interval Calculator
Calculate a t-based confidence interval for a regression coefficient. Use Regression Coefficient Confidence Interval Calculator to validate coefficient b, standard error, residual df, confidence level (%) and report t critical, ci lower, ci upper, t statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Regression Leverage Calculator
Calculate leverage from Mahalanobis distance in predictor space. Use Regression Leverage Calculator to validate sample size n, squared mahalanobis distance, model parameters including intercept and report leverage, average leverage, common high leverage threshold, high leverage flag with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Regression Tolerance Calculator
Calculate collinearity tolerance from predictor R-squared. Use Regression Tolerance Calculator to validate r-squared predicting this predictor and report tolerance, variance inflation factor with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Root Mean Squared Error Calculator
Calculate RMSE from observed and predicted values. Use Root Mean Squared Error Calculator to validate observed values, predicted values and report n, sum squared error, mean squared error, root mean squared error with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Standardized Regression Coefficient Calculator
Convert an unstandardized slope to standardized beta. Use Standardized Regression Coefficient Calculator to validate unstandardized slope b, predictor sd, outcome sd and report standardized beta with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Symmetric MAPE Calculator
Calculate symmetric mean absolute percentage error. Use Symmetric MAPE Calculator to validate observed values, predicted values and report valid n, symmetric mape with method-specific calculations, diagnostics, and interpretation.
Open workspaceModel Diagnostics
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Variance Inflation Factor Calculator
Calculate VIF from predictor R-squared. Use Variance Inflation Factor Calculator to validate r-squared predicting this predictor and report tolerance, variance inflation factor with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
Analyze covariance structure, components, factors, multivariate differences, and distances.
Multivariate and Factor Analysis
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Bartlett Test of Sphericity Calculator
Test whether a sample correlation matrix differs from the identity matrix. Use Bartlett Test of Sphericity Calculator to validate rows are observations; columns are variables, alpha and report observations, variables, correlation determinant, chi square, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Box M Test Calculator
Test equality of covariance matrices across independent multivariate groups. Use Box M Test Calculator to validate groups separated by a blank line; rows by variables, alpha and report groups, variables, box m, chi-square approximation, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Canonical Correlation Calculator
Calculate the strongest linear association between two sets of variables. Use Canonical Correlation Calculator to validate rows by x-set variables, matching rows by y-set variables and report observations, x variables, y variables, first canonical correlation, first canonical root, wilks lambda first root with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Exploratory Factor Analysis Calculator
Extract principal-axis factor loadings and communalities from a numeric data matrix. Use Exploratory Factor Analysis Calculator to validate rows are observations; columns are variables, number of factors and report observations, variables, factors, variance explained percent, minimum communality, maximum absolute loading with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Kaiser–Meyer–Olkin Measure Calculator
Assess whether a correlation matrix is suitable for factor analysis. Use Kaiser–Meyer–Olkin Measure Calculator to validate numeric data matrix: rows by variables and report observations, variables, sum squared correlations, sum squared partial correlations, kmo with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Linear Discriminant Analysis Calculator
Fit a two-group linear discriminant rule and report resubstitution accuracy. Use Linear Discriminant Analysis Calculator to validate rows are observations; columns are predictors, two group labels in row order and report observations, predictors, groups, training accuracy, centroid mahalanobis distance, prior group 1 with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Mahalanobis Distance Calculator
Calculate multivariate distance for a target observation relative to a reference sample centroid and covariance.
Open workspaceMultivariate and Factor Analysis
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MANOVA Wilks Lambda Calculator
Test multivariate mean differences across independent groups using Wilks’ lambda. Use MANOVA Wilks Lambda Calculator to validate rows are observations; columns are dependent variables, group labels in row order and report observations, groups, dependent variables, wilks lambda, chi-square approximation, degrees of freedom with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Multivariate General Linear Model Calculator
The multivariate general linear model statistical calculator fits multiple continuous outcomes to multiple numeric or categorical predictors in one model.
Open workspaceMultivariate and Factor Analysis
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One-Sample Hotelling T² Calculator
Test a multivariate sample mean against a hypothesized mean vector. Use One-Sample Hotelling T² Calculator to validate rows are observations; columns are outcomes, hypothesized mean vector and report observations, variables, hotelling t squared, f statistic, df 1, df 2 with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Parallel Analysis Calculator
Compare observed correlation eigenvalues with Monte Carlo random-data percentile thresholds.
Open workspaceMultivariate and Factor Analysis
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Principal Component Analysis Calculator
Extract principal components from a standardized multivariable dataset. Use Principal Component Analysis Calculator to validate numeric data matrix: rows by variables and report observations, variables with method-specific calculations, diagnostics, and interpretation.
Open workspaceMultivariate and Factor Analysis
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Two-Sample Hotelling T² Calculator
Compare two independent multivariate mean vectors using a pooled covariance matrix. Use Two-Sample Hotelling T² Calculator to validate group a rows by outcomes, group b rows by outcomes and report group a n, group b n, variables, hotelling t squared, f statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceCollection
Reliability, Agreement, and Measurement
Reliability Tests
Estimate internal consistency, item performance, test–retest stability, and scale reliability.
Reliability Tests
DataChart
Composite Reliability Calculator
Calculate latent construct reliability. Use Composite Reliability Calculator to validate standardized factor loadings, error variances (optional) and report method, indicators, factor_loadings, error_variances, sum_loadings, sum_error_variances with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Corrected Item–Total Correlation Calculator
Calculate each item’s correlation with the total score excluding that item. Use Corrected Item–Total Correlation Calculator to validate item score matrix and report respondents, items, minimum correlation, mean correlation with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Cronbach Alpha Calculator
Calculate internal consistency from item scores. Use Cronbach Alpha Calculator to validate item-score matrix and report method, respondents, items, item_means, item_variances, total_score_variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Cronbach Alpha Confidence Interval Calculator
Calculate Cronbach alpha and a Feldt-style confidence interval from an item-score matrix. Use Cronbach Alpha Confidence Interval Calculator to validate rows are respondents; columns are items, confidence level percent and report respondents, items, cronbach alpha, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Guttman Lambda-6 Reliability Calculator
Estimate internal consistency using item residual variances from multiple regression. Use Guttman Lambda-6 Reliability Calculator to validate item score matrix: rows are respondents and report respondents, items, total score variance, sum item error variances, guttman lambda 6 with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Item-Total Correlation Calculator
Calculate item-total correlations. Use Item-Total Correlation Calculator to validate item-score matrix and report method, respondents, items, item_means, item_total_correlations, alpha_if_item_deleted with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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KR-20 Calculator
Calculate reliability for dichotomous items. Use KR-20 Calculator to validate dichotomous item matrix (0/1) and report method, respondents, items, item_proportions, item_q_values, sum_pq with method-specific calculations, diagnostics, and interpretation.
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Kuder–Richardson Formula 21 Calculator
Estimate dichotomous-item reliability from item count, total-score mean and total-score variance.
Open workspaceReliability Tests
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McDonald’s Omega Calculator
Calculate composite omega from standardized factor loadings and error variances. Use McDonald’s Omega Calculator to validate standardized factor loadings, error variances and report items, sum loadings, sum error variance, omega total with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Split-Half Reliability Calculator
Calculate split-half reliability. Use Split-Half Reliability Calculator to validate item-score matrix, split point after item number and report method, respondents, items, split_point, first_half_scores, second_half_scores with method-specific calculations, diagnostics, and interpretation.
Open workspaceReliability Tests
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Test–Retest Reliability Calculator
Measure temporal stability by correlating scores from two administrations. Use Test–Retest Reliability Calculator to validate test scores, retest scores and report pairs, test retest correlation, ci lower, ci upper, mean change with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
Evaluate rater agreement, method agreement, validity, concordance, and intraclass correlation.
Agreement and Validity Tests
DataChart
Average Variance Extracted Calculator
Calculate average variance extracted from standardized factor loadings and error variances.
Open workspaceAgreement and Validity Tests
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Bland-Altman Limits of Agreement Calculator
Calculate mean bias and 95% limits of agreement for paired measurements. Use Bland-Altman Limits of Agreement Calculator to validate method x values, method y values and report pairs, mean bias, sd difference, lower limit, upper limit, standard error bias with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Brennan–Prediger Agreement Calculator
Calculate Brennan–Prediger chance-corrected agreement for two categorical raters. Use Brennan–Prediger Agreement Calculator to validate rater a categories, rater b categories and report ratings, categories, observed agreement, chance agreement, brennan prediger with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Cohen Kappa Calculator
Calculate chance-corrected agreement from a square confusion matrix. Use Cohen Kappa Calculator to validate square rating table and report sample size, observed agreement, expected agreement, cohen kappa with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Content Validity Index Calculator
Calculate item-level CVI from relevant ratings. Use Content Validity Index Calculator to validate experts rating relevant, total experts and report item content validity index, universal agreement with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Content Validity Ratio Calculator
Calculate Lawshe content-validity ratio from expert judgments. Use Content Validity Ratio Calculator to validate experts rating item essential, total experts and report content validity ratio, essential proportion with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Dependability Index Calculator
Calculate absolute-decision reliability from variance components. Use Dependability Index Calculator to validate person variance, absolute error variance and report dependability index, absolute error fraction with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Fleiss Kappa Calculator
Calculate multi-rater kappa from per-subject category counts. Use Fleiss Kappa Calculator to validate rows = subjects; columns = category counts and report subjects, raters per subject, mean observed agreement, expected agreement, fleiss kappa with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Generalizability Coefficient Calculator
Calculate relative-decision reliability from variance components. Use Generalizability Coefficient Calculator to validate person variance, relative error variance and report generalizability coefficient, relative error fraction with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Gwet AC1 Agreement Calculator
Calculate chance-corrected agreement for two categorical raters using Gwet AC1. Use Gwet AC1 Agreement Calculator to validate rater a categories, rater b categories and report ratings, categories, observed agreement, ac1 chance agreement, gwet ac1 with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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HTMT Discriminant Validity Calculator
Calculate the heterotrait–monotrait ratio between two multi-item constructs. Use HTMT Discriminant Validity Calculator to validate item correlation matrix, construct a item indices, 1-based, construct b item indices, 1-based and report construct a items, construct b items, mean heterotrait correlation, monotrait geometric mean, htmt with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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ICC(1,1) Calculator
Estimate one-way random-effects single-measure intraclass correlation. Use ICC(1,1) Calculator to validate ratings matrix: subjects by raters and report subjects, raters, ms subjects, ms raters, ms error, icc with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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ICC(1,k) Average-Measure Calculator
Calculate an average-measure intraclass correlation coefficient from a subjects-by-raters matrix.
Open workspaceAgreement and Validity Tests
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ICC(2,1) Calculator
Estimate two-way random-effects absolute-agreement single-measure intraclass correlation. Use ICC(2,1) Calculator to validate ratings matrix: subjects by raters and report subjects, raters, ms subjects, ms raters, ms error, icc with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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ICC(2,k) Average-Measure Calculator
Calculate an average-measure intraclass correlation coefficient from a subjects-by-raters matrix.
Open workspaceAgreement and Validity Tests
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ICC(3,1) Calculator
Estimate two-way mixed-effects consistency single-measure intraclass correlation. Use ICC(3,1) Calculator to validate ratings matrix: subjects by raters and report subjects, raters, ms subjects, ms raters, ms error, icc with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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ICC(3,k) Average-Measure Calculator
Calculate an average-measure intraclass correlation coefficient from a subjects-by-raters matrix.
Open workspaceAgreement and Validity Tests
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Inter-Rater Percent Agreement Calculator
Calculate raw agreement percentage from agreement and total decisions. Use Inter-Rater Percent Agreement Calculator to validate agreements, total decisions and report agreement proportion, agreement percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Kendall W Calculator
Calculate concordance among raters ranking the same objects. Use Kendall W Calculator to validate rows = raters; columns = object ranks and report raters, objects, kendall w, chi square, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Krippendorff Alpha Nominal Calculator
Calculate nominal Krippendorff alpha from a units-by-raters matrix. Use Krippendorff Alpha Nominal Calculator to validate rows = units; columns = raters and report units, ratings, observed disagreement, expected disagreement, krippendorff alpha with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Lin Concordance Correlation Calculator
Measure precision and accuracy agreement between paired continuous methods. Use Lin Concordance Correlation Calculator to validate method x values, method y values and report pairs, mean x, mean y, pearson r, accuracy coefficient, lin ccc with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Minimal Detectable Change Calculator
Calculate change needed to exceed measurement error at a confidence level. Use Minimal Detectable Change Calculator to validate sem, confidence level (%) and report z critical, minimal detectable change with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Scott Pi Agreement Calculator
Calculate Scott’s pi for two categorical raters using pooled marginal category proportions.
Open workspaceAgreement and Validity Tests
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Spearman-Brown Prophecy Calculator
Predict reliability after changing test length. Use Spearman-Brown Prophecy Calculator to validate current reliability, length multiplier k and report predicted reliability, length multiplier with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Standard Error of Measurement Calculator
Calculate measurement error from score SD and reliability. Use Standard Error of Measurement Calculator to validate observed score sd, reliability coefficient and report standard error measurement, reliability, error variance with method-specific calculations, diagnostics, and interpretation.
Open workspaceAgreement and Validity Tests
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Weighted Kappa Calculator
Calculate linear or quadratic weighted kappa for ordinal categories. Use Weighted Kappa Calculator to validate square ordinal rating table, disagreement weights and report sample size, weighted observed disagreement, weighted expected disagreement, weighted kappa with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
Report standardized differences, variance explained, association strength, and practical importance.
Effect Size Calculators
DataChart
Cohen F Calculator
Convert eta-squared or partial eta-squared to Cohen f. Use Cohen F Calculator to validate eta squared and report cohen f, effect size label with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Cohen H Calculator
Calculate standardized difference between two proportions. Use Cohen H Calculator to validate proportion a, proportion b and report cohen h, absolute h, effect size label with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Epsilon Squared Calculator
Estimate rank-based effect size from Kruskal-Wallis H. Use Epsilon Squared Calculator to validate kruskal-wallis h, number of groups, total sample size and report epsilon squared, percent variance explained with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Eta Squared Calculator
Calculate variance explained from effect and total sums of squares. Use Eta Squared Calculator to validate effect sum of squares, total sum of squares and report eta squared, percent variance explained with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Glass Delta Calculator
Standardize a treatment-control mean difference using the control-group SD. Use Glass Delta Calculator to validate treatment mean, control mean, control sd, treatment sample size, control sample size and report mean difference, glass delta, standard error, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Hedges G Calculator
Calculate bias-corrected standardized mean difference. Use Hedges G Calculator to validate cohen d, group a sample size, group b sample size and report degrees of freedom, correction factor, hedges g, standard error g, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Independent Samples Cohen D Calculator
Calculate pooled-standard-deviation Cohen d for two independent groups. Use Independent Samples Cohen D Calculator to validate group a mean, group b mean, group a sd, group b sd, group a sample size, group b sample size and report mean difference, pooled sd, cohen d, hedges g, standard error d, ci lower with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Omega Squared Calculator
Estimate less-biased variance explained in one-way ANOVA. Use Omega Squared Calculator to validate between-groups ss, between-groups df, within-groups mean square, total ss and report omega squared, percent variance explained with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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One Sample Cohen D Calculator
Calculate standardized difference between a sample mean and a reference mean. Use One Sample Cohen D Calculator to validate sample mean, reference mean, sample standard deviation, sample size and report mean difference, cohen d, hedges g, standard error d, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Paired Samples Cohen Dz Calculator
Calculate standardized paired change using the SD of difference scores. Use Paired Samples Cohen Dz Calculator to validate mean paired difference, sd of paired differences, number of pairs and report cohen dz, standard error, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEffect Size Calculators
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Partial Eta Squared Calculator
Calculate partial variance explained for an effect. Use Partial Eta Squared Calculator to validate effect sum of squares, error sum of squares and report partial eta squared, percent variance explained with method-specific calculations, diagnostics, and interpretation.
Open workspaceCollection
Risk, Survival, and Evidence Synthesis
Epidemiology and Diagnostic Tests
Calculate risk, rates, odds, diagnostic accuracy, ROC results, and public-health measures.
Epidemiology and Diagnostic Tests
DataChart
Attack Rate Calculator
Calculate outbreak attack rate among people at risk. Use Attack Rate Calculator to validate outbreak cases, population at risk and report attack rate, attack rate percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Attributable Fraction Among Exposed Calculator
Estimate the fraction of exposed-group risk attributable to exposure. Use Attributable Fraction Among Exposed Calculator to validate relative risk and report attributable fraction, attributable percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Attributable Risk Calculator
Calculate excess absolute risk among exposed people. Use Attributable Risk Calculator to validate risk in exposed group, risk in unexposed group and report attributable risk, attributable risk percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Case Fatality Rate Calculator
Calculate the proportion of diagnosed cases that result in death. Use Case Fatality Rate Calculator to validate deaths among diagnosed cases, diagnosed cases and report case fatality rate, case fatality percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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DeLong Paired AUC Comparison Calculator
Compare two correlated ROC AUCs measured on the same binary outcomes. Use DeLong Paired AUC Comparison Calculator to validate observed binary outcome 0/1, model a scores, model b scores, alpha and report auc a, auc b, auc difference, standard error difference, z statistic, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Diagnostic Likelihood Ratio Calculator
Calculate positive and negative diagnostic likelihood ratios. Use Diagnostic Likelihood Ratio Calculator to validate sensitivity, specificity and report positive likelihood ratio, negative likelihood ratio with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Diagnostic Odds Ratio Calculator
Calculate diagnostic odds ratio from sensitivity and specificity. Use Diagnostic Odds Ratio Calculator to validate sensitivity, specificity and report diagnostic odds ratio, log diagnostic odds ratio with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Incidence Proportion Calculator
Calculate cumulative incidence among people initially at risk. Use Incidence Proportion Calculator to validate new cases, population initially at risk, display multiplier and report incidence proportion, incidence percent, rate per multiplier with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Incidence Rate Calculator
Calculate incidence density from new events and person-time. Use Incidence Rate Calculator to validate new events, total person-time, display multiplier and report incidence rate, rate per multiplier with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Incidence Rate Confidence Interval Calculator
Estimate an event rate and confidence interval from events and person-time. Use Incidence Rate Confidence Interval Calculator to validate number of events, person-time, confidence level (%) and report events, person time, rate, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Incidence Rate Ratio Calculator
Compare two incidence rates using events and person-time. Use Incidence Rate Ratio Calculator to validate events in group a, person-time in group a, events in group b, person-time in group b, confidence level (%) and report rate a, rate b, incidence rate ratio, standard error log, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Mantel-Haenszel Common Odds Ratio Calculator
Estimate a common stratified odds ratio from multiple 2×2 tables. Use Mantel-Haenszel Common Odds Ratio Calculator to validate one a,b,c,d table per line and report strata count, common odds ratio, log common odds ratio with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Newcombe Difference in Proportions CI Calculator
Calculate a score-based confidence interval for the difference between two independent proportions.
Open workspaceEpidemiology and Diagnostic Tests
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Number Needed to Treat Calculator
Convert an absolute risk reduction into NNT or NNH. Use Number Needed to Treat Calculator to validate treatment event risk, control event risk and report absolute risk difference, relative risk reduction, number needed, measure type with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Odds Ratio Calculator
Calculate an odds ratio and confidence interval from a 2×2 table. Use Odds Ratio Calculator to validate exposed cases a, exposed non-cases b, unexposed cases c, unexposed non-cases d, confidence level (%) and report odds ratio, log odds ratio, standard error, ci lower, ci upper, z statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Population Attributable Fraction Calculator
Estimate population burden attributable to an exposure. Use Population Attributable Fraction Calculator to validate exposure prevalence, relative risk and report population attributable fraction, population attributable percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Positive and Negative Predictive Value Calculator
Calculate PPV, NPV and diagnostic prevalence. Use Positive and Negative Predictive Value Calculator to validate true positives, false positives, false negatives, true negatives and report positive predictive value, negative predictive value, prevalence, accuracy with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Prevalence Calculator
Calculate point or period prevalence from existing cases and population. Use Prevalence Calculator to validate existing cases, population, display multiplier and report prevalence, prevalence percent, rate per multiplier with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Relative Risk Calculator
Calculate risk ratio and confidence interval from cohort counts. Use Relative Risk Calculator to validate exposed cases a, exposed non-cases b, unexposed cases c, unexposed non-cases d, confidence level (%) and report risk exposed, risk unexposed, relative risk, log standard error, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Risk Difference Calculator
Calculate absolute risk difference and Wald confidence interval. Use Risk Difference Calculator to validate exposed cases a, exposed non-cases b, unexposed cases c, unexposed non-cases d, confidence level (%) and report risk exposed, risk unexposed, risk difference, standard error, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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ROC AUC Confidence Interval Calculator
Calculate a normal-approximation confidence interval for a ROC area under the curve. Use ROC AUC Confidence Interval Calculator to validate observed auc, positive cases, negative cases, confidence level percent and report auc, standard error, ci lower, ci upper, z versus 0.5, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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ROC Curve and AUC Calculator
Evaluate discrimination of a continuous prediction score against a binary outcome. Use ROC Curve and AUC Calculator to validate dependent binary outcome (0/1), independent prediction score and report sample size, positives, negatives, auc, optimal threshold, sensitivity at optimum with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Sensitivity and Specificity Calculator
Calculate diagnostic sensitivity, specificity and error rates from a confusion matrix. Use Sensitivity and Specificity Calculator to validate true positives, false positives, false negatives, true negatives and report sensitivity, specificity, false positive rate, false negative rate, accuracy, balanced accuracy with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Standardized Mortality Ratio Calculator
Compare observed with expected deaths using an SMR. Use Standardized Mortality Ratio Calculator to validate observed deaths, expected deaths, confidence level (%) and report standardized mortality ratio, smr percent, standard error, ci lower, ci upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Two Incidence Rates Comparison Calculator
Compare event rates from two independent person-time groups. Use Two Incidence Rates Comparison Calculator to validate events in group a, person-time a, events in group b, person-time b, confidence level (%) and report rate a, rate b, rate ratio, ci lower, ci upper, z statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceEpidemiology and Diagnostic Tests
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Vaccine Effectiveness Calculator
Estimate vaccine effectiveness from vaccinated and unvaccinated risks. Use Vaccine Effectiveness Calculator to validate risk in vaccinated group, risk in unvaccinated group and report relative risk, vaccine effectiveness, vaccine effectiveness percent with method-specific calculations, diagnostics, and interpretation.
Open workspaceSurvival Analysis
Analyze time-to-event outcomes with censoring, hazards, curves, and group comparisons.
Survival Analysis
DataChart
Cox Proportional Hazards Regression Calculator
Estimate a hazard ratio for one predictor using partial likelihood. Use Cox Proportional Hazards Regression Calculator to validate follow-up time, dependent event indicator (1/0), independent predictor and report coefficient, hazard ratio, standard error, z statistic, p value, events with method-specific calculations, diagnostics, and interpretation.
Open workspaceSurvival Analysis
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Hazard Ratio Confidence Interval Calculator
Calculate a hazard ratio, confidence interval, z statistic, and p-value from a log-hazard coefficient and standard error.
Open workspaceSurvival Analysis
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Kaplan–Meier Survival Calculator
Estimate a product-limit survival curve from follow-up times and censoring indicators. Use Kaplan–Meier Survival Calculator to validate follow-up time, event indicator (1=event, 0=censored) and report sample size, events, censored, median survival, final survival with method-specific calculations, diagnostics, and interpretation.
Open workspaceSurvival Analysis
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Log-Rank Test Calculator
Compare two independent survival curves. Use Log-Rank Test Calculator to validate follow-up time, event indicator (1/0), independent group code, alpha and report observed group 1, expected group 1, variance, z statistic, chi square, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceSurvival Analysis
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Nelson–Aalen Cumulative Hazard Calculator
Estimate the cumulative hazard function from event and censoring times. Use Nelson–Aalen Cumulative Hazard Calculator to validate follow-up times, event indicators 1=event, 0=censored and report sample size, events, final cumulative hazard, estimated survival with method-specific calculations, diagnostics, and interpretation.
Open workspaceSurvival Analysis
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Restricted Mean Survival Time Calculator
Estimate mean survival up to a chosen time horizon from Kaplan–Meier areas. Use Restricted Mean Survival Time Calculator to validate follow-up times, event indicators 1=event, 0=censored, restriction time tau and report sample size, events, tau, restricted mean survival time, survival at tau with method-specific calculations, diagnostics, and interpretation.
Open workspaceMeta-Analysis
Pool study estimates, measure heterogeneity, evaluate moderators, and assess small-study effects.
Meta-Analysis
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Egger Regression Test Calculator
Test funnel-plot asymmetry using standardized effects regressed on precision. Use Egger Regression Test Calculator to validate study effect estimates, study standard errors and report studies, egger intercept, standard error intercept, t statistic, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceMeta-Analysis
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Meta-Analysis Heterogeneity Calculator
Calculate Cochran Q, I², H², and DerSimonian–Laird tau² from study effects and standard errors.
Open workspaceMeta-Analysis
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Meta-Analysis Prediction Interval Calculator
Calculate a random-effects pooled estimate and prediction interval for a future study. Use Meta-Analysis Prediction Interval Calculator to validate study effect estimates, study standard errors, confidence level percent and report random effect, tau squared, mean effect ci lower, mean effect ci upper, prediction lower, prediction upper with method-specific calculations, diagnostics, and interpretation.
Open workspaceMeta-Analysis
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Meta-Regression Calculator
Regress study effect estimates on one moderator using inverse-variance random-effects weights.
Open workspaceMeta-Analysis
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Random-Effects Meta-Analysis Calculator
Pool study effects while allowing true effects to vary between studies. Use Random-Effects Meta-Analysis Calculator to validate study effect estimates, study standard errors, confidence level (%) and report studies, fixed effect, q statistic, degrees of freedom, tau squared, i squared with method-specific calculations, diagnostics, and interpretation.
Open workspaceTime Series and Meta-Analysis
Evaluate serial dependence, trend, time order, and established pooled-evidence methods.
Time Series and Meta-Analysis
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Box-Pierce Test Calculator
Test joint autocorrelation using the Box-Pierce statistic. Use Box-Pierce Test Calculator to validate ordered time series, maximum lag h, alpha and report n, maximum lag, autocorrelations, box pierce q, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceTime Series and Meta-Analysis
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Fixed Effect Meta-Analysis Calculator
Pool independent effect estimates using inverse-variance weights. Use Fixed Effect Meta-Analysis Calculator to validate effect estimates, standard errors, confidence level (%) and report studies, pooled effect, standard error, ci lower, ci upper, z statistic with method-specific calculations, diagnostics, and interpretation.
Open workspaceTime Series and Meta-Analysis
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Ljung-Box Test Calculator
Test joint autocorrelation through a selected lag. Use Ljung-Box Test Calculator to validate ordered time series, maximum lag h, alpha and report n, maximum lag, autocorrelations, ljung box q, degrees of freedom, p value with method-specific calculations, diagnostics, and interpretation.
Open workspaceTime Series and Meta-Analysis
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Mann-Kendall Trend Test Calculator
Test monotonic trend without requiring normality. Use Mann-Kendall Trend Test Calculator to validate ordered observations, alpha and report n, s statistic, variance s, z statistic, p value, trend with method-specific calculations, diagnostics, and interpretation.
Open workspaceTime Series and Meta-Analysis
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Sens Slope Calculator
Estimate robust median slope from all pairwise time slopes. Use Sens Slope Calculator to validate ordered observations and report n, pairwise slopes, sen slope, intercept with method-specific calculations, diagnostics, and interpretation.
Open workspaceCollection
Plan a Study
Sample Size and Power Calculators
Plan sample size, power, precision, detectable effect, allocation, and attrition.
Sample Size and Power Calculators
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Chi-Square Test Power Calculator
Calculate achieved power for a chi-square test from Cohen’s w, sample size and degrees of freedom.
Open workspaceSample Size and Power Calculators
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Correlation Power Calculator
Estimate power for a two-sided Pearson correlation test using Fisher z. Use Correlation Power Calculator to validate expected population correlation, sample size, alpha and report expected correlation, sample size, fisher z effect, noncentrality, power with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Correlation Sample Size Calculator
Estimate the sample size required to detect a nonzero correlation. Use Correlation Sample Size Calculator to validate expected correlation, target power, alpha and report expected correlation, target power, alpha, required sample size with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Log-Rank Sample Size Calculator
Estimate required events and total sample size for a two-group log-rank test. Use Log-Rank Sample Size Calculator to validate target hazard ratio, target power, alpha, group 2 / group 1 allocation ratio, expected overall event probability and report required events, required total sample, group 1 sample, group 2 sample with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Margin of Error Calculator
Calculate margin of error. Use Margin of Error Calculator to validate sample size, planning proportion, alpha and report method, sample_size, planning_proportion, alpha, confidence_level, z_critical with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Power Calculator for ANOVA
Estimate power for ANOVA. Use Power Calculator for ANOVA to validate cohen f effect size, groups count, sample size per group, alpha and report method, effect_size_f, groups, sample_size_per_group, total_sample_size, df_between with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Power Calculator for T Test
Estimate power for a t test. Use Power Calculator for T Test to validate cohen d effect size, sample size per group, alpha, alternative hypothesis and report method, effect_size_d, sample_size_per_group, total_sample_size, df, alpha with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Sample Size for Mean Calculator
Estimate sample size for a mean. Use Sample Size for Mean Calculator to validate margin of error, population standard deviation, alpha and report method, margin_of_error, population_sd, alpha, confidence_level, z_critical with method-specific calculations, diagnostics, and interpretation.
Open workspaceSample Size and Power Calculators
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Sample Size for Proportion Calculator
Estimate sample size for a proportion. Use Sample Size for Proportion Calculator to validate margin of error as decimal, planning proportion, alpha and report method, margin_of_error, planning_proportion, alpha, confidence_level, z_critical with method-specific calculations, diagnostics, and interpretation.
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Sample Size for Two Means Calculator
Estimate sample size for comparing means. Use Sample Size for Two Means Calculator to validate mean difference to detect, common standard deviation, target power, alpha and report method, mean_difference, common_sd, standardized_difference, alpha, target_power with method-specific calculations, diagnostics, and interpretation.
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Sample Size for Two Proportions Calculator
Estimate sample size for comparing proportions. Use Sample Size for Two Proportions Calculator to validate proportion a, proportion b, target power, alpha and report method, proportion_a, proportion_b, proportion_difference, pooled_planning_proportion, alpha with method-specific calculations, diagnostics, and interpretation.
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Statistical Power Calculator
Estimate power or solve for sample size for one-sample and two-sample mean tests, correlation, and one-way ANOVA.
Open workspaceSample Size and Power Calculators
DataChart
Statistical Sample Size Calculator
Calculate statistical sample size for a mean, proportion, two means, or two proportions with power, finite-population, design-effect, and attrition adjustments.
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About this statistical analysis applicationMethods, privacy and calculation coverage
Statistical Calculator and Statistical Calculators for Complete Data Analysis
This statistical calculator web application is designed for students, researchers, analysts, teachers, survey teams, health researchers, and professionals who need transparent calculations without manually copying long columns of values into separate forms. The application combines a spreadsheet-style data workflow with dedicated statistical calculators. Each calculator keeps its own formula, validation rules, inputs, outputs, assumptions, visual result, interpretation, and internal verification fixture.
Begin in Analyze Data when you have a spreadsheet or pasted table. The application detects headers, removes empty rows and columns, normalizes missing-value markers, converts valid numeric cells, reports duplicates without silently deleting them, identifies constant columns, and infers variable types. You can override an inferred type before choosing an analysis. The test recommender then creates variable groups and presents suitable procedures with the actual outcome, predictor, grouping, paired, repeated, item, time, event, or table variables shown.
One Canonical Page for Each Distinct Statistical Method
Closely related names and spelling variants are routed to one canonical statistical calculator instead of creating duplicate pages. Distinct methods receive distinct calculators only when they have a reproducible formula or algorithm, method-specific inputs, meaningful outputs, and a defensible interpretation.
What the Statistical Analysis Web App Reports
Depending on the selected method, results can include descriptive statistics, test statistics, degrees of freedom, p-values, confidence intervals, effect sizes, model coefficients, residual diagnostics, reliability estimates, agreement coefficients, survival probabilities, hazard ratios, pooled study estimates, heterogeneity measures, sample-size targets, power curves, and method-specific charts.
Which statistical calculator should I use?
Describing one quantitative variable: use descriptive statistics for center and spread. Compare mean with median when data are skewed. For standardized observations, use a z-score only with a valid reference mean and positive standard deviation.
Comparing groups: a paired t test is for matched differences; an independent-samples test is for unrelated groups. Welch's test does not require equal group variances. For three or more independent group means, consider one-way ANOVA when its conditions are appropriate.
Associations: Pearson correlation measures linear association between paired numerical values, whereas a chi-square test checks association between categorical variables. Neither demonstrates causation.
Estimating uncertainty: use the confidence interval calculator for a supported mean-estimation design, and the p-value calculator only after identifying the test distribution, test statistic and direction of the hypothesis.
How to use these statistical calculators correctly
- Identify the question, measurement scale and whether observations are independent, paired or grouped.
- Check missing data, units, impossible values, sample sizes, outliers and relevant model assumptions.
- Select the method, enter the values or import the supported data file, and confirm the input options.
- Review the formula, intermediate quantities, result, warnings and units. Compare important results with a known worked example.
- When reporting findings, include the sample size, estimated effect, confidence interval where relevant, exact test, p-value and meaningful limitations.
Frequently asked questions about online statistical calculators
Is a p-value enough to interpret a statistical result?
No. A p-value depends on the null model and assumptions. Report an effect size or estimate, uncertainty and study design; statistical significance and practical importance are different questions.
Can I use sample standard deviation instead of population standard deviation?
Sometimes. The choice depends on the statistic being calculated. The variance and standard deviation calculators distinguish sample and population conventions. A classical z test for a sample mean generally assumes the population standard deviation is known; a t procedure often handles an estimated standard deviation.
Are uploaded spreadsheets stored on the server?
The statistics workspace processes supported input files in the browser and maintains local projects on the device. Review the privacy information shown in the tool before entering confidential information; do not upload sensitive data without appropriate authorization.
Do calculators replace statistical expertise?
No. Correct numerical computation does not validate a sampling plan, causal claim, model choice or decision. Important research and professional conclusions may require independent review.