Correlation Tests
Pearson Correlation Calculator
Pearson Correlation Calculator calculate Pearson r for two continuous variables.
Correlation Tests
Pearson Correlation Calculator
Calculate Pearson r for two continuous variables.
Formula
r = covariance(x,y) / (SDx * SDy); t = r * sqrt((n - 2) / (1 - r^2))
About the Pearson Correlation Calculator
Calculate Pearson r for two continuous variables. Correlation calculators measure a specific form of association, such as linear, rank, binary-continuous, contingency-table, partial, or serial association.
How the Pearson Correlation Calculator Works
r = covariance(x,y) / (SDx * SDy); t = r * sqrt((n - 2) / (1 - r^2))
The calculation runs in your browser. Submitted values are validated for the required numeric range, data shape, units, and method-specific restrictions before a result is shown.
Required Inputs
- X values (required)
- Y values (required)
- Alpha (required)
Results Reported
The result panel shows the final answer together with the intermediate quantities needed to audit the calculation. Depending on this method, reported values include:
ncorrelation_coefficientt_statisticdfp_valueconfidence_intervalstrengthdirection
Pearson Correlation Calculator Example
Paste the sample data, click Calculate, and compare the detailed table with the expected output.
| Input | Example value |
|---|---|
| X values | 1,2,3,4,5 |
| Y values | 2,4,5,4,5 |
| Alpha | 0.05 |
How to Use the Calculator
- Confirm that the calculator title and method match the quantity, test, conversion, or planning question you need to solve.
- Enter values with compatible units and the requested sample, group, matrix, count, date, or option format.
- Select Example Data to inspect a valid input layout, or enter your own values and select Calculate.
- Review the result table, formula, worked substitutions, warnings, and interpretation rather than using only the headline number.
- Use Copy Result or Download CSV when you need a reusable record of the displayed calculation.
Understanding the Result
Association does not establish causation, and each coefficient requires the variable types and dependence structure named by the calculator.
Keep the entered values, units, selected options, and any warning shown beside the result. For a hypothesis test, report the statistic, degrees of freedom where applicable, p-value, alpha level, effect size, and decision. For an estimate or conversion, report the formula convention and final unit.
Accuracy and Limitations
The calculator keeps full browser precision during calculation and rounds only for display. Accuracy still depends on correct inputs and on whether the displayed model represents the real problem. Educational calculators cannot replace required professional review, current official rules, field measurements, laboratory methods, or specialist statistical software where those are necessary.
Frequently Asked Questions
What does the Pearson Correlation Calculator calculate?
Calculate Pearson r for two continuous variables.
Which formula does the Pearson Correlation Calculator use?
r = covariance(x,y) / (SDx * SDy); t = r * sqrt((n - 2) / (1 - r^2))
Is this calculator free to use?
Yes. Visitors can use it publicly through the shortcode page.
Does the calculator store visitor data?
No. Calculations run in the browser and do not store visitor data.