Post Hoc Tests
Waller-duncan Statistical Calculator
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. Use the tabbed test workspace below for data, variables, analysis, visualizations, results, interpretation and reporting.
Quick method summary
The Waller-Duncan Statistical Calculator calculates the named method using calculator-specific formulas and reports auditable results, warnings, and interpretation. It uses the calculator-specific formula and reports the intermediate values, final result, warnings, and interpretation.
Post Hoc Tests
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.
Calculated result
Calculation method
Waller-Duncan uses a Bayesian k-ratio decision rule. The entered Type I to Type II loss ratio, omnibus F statistic, and error degrees of freedom determine the critical t value and minimum significant difference.
Formula
Waller-Duncan uses a Bayesian k-ratio decision rule. The entered Type I to Type II loss ratio, omnibus F statistic, and error degrees of freedom determine the critical t value and minimum significant difference.
Assumptions and limits
The comparison procedure must match the omnibus model, variance pattern, sample sizes, and control-group design. Group observations should satisfy the independence or repeated-measure structure of the preceding analysis. Interpret adjusted p-values or simultaneous intervals rather than uncorrected pairwise tests.
Formula review
Formula and independent control cases reviewed 2026-08-02; variable assumptions remain visible inputs.
Waller-Duncan Calculator method, assumptions and reporting guideComplete selected-test explanation, assumptions, formula and reporting details
Data Import and Variable Requirements
For the Waller-Duncan Statistical Calculator, upload or paste data, review the cleaning report, then select the outcome, group, subject, condition, or matrix roles required by Waller-Duncan Calculator. For Waller-Duncan Calculator, map Groups, Type I / Type II loss ratio (K), Alpha from the cleaned browser-local table; every mapped variable remains editable before calculation, and the active dataset remains available while you work with this selected test and when you return to the Test Finder.
Uploaded files are processed locally in the browser. The cleaning report appears before variable selection, and the selected cleaned columns are mapped to this exact calculator rather than a generic fallback.
Waller-Duncan Calculator Workspace Features
- Dedicated Waller-Duncan Calculator variable mapping, calculation contract, result explanation, and diagnostics
- Manual inputs plus browser-local XLSX, CSV, or TSV analysis for this exact statistical method
- Auditable cleaning report before method-valid variable dropdowns are created
- Calculator-specific formulas, intermediate quantities, assumptions, warnings, and interpretation
- Responsive method-specific charts generated from the selected cleaned data
- Copy, result CSV, cleaned-data CSV, chart PNG, and result-only print controls
- Protected canonical URL, focused FAQs, and a dedicated selected-test workspace
About the 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. Post hoc procedures identify which means differ while applying the named family-wise, stepwise, unequal-variance, control-comparison, or decision-theoretic rule.
When to Use the Waller-Duncan Calculator
Use the Waller-Duncan Statistical Calculator when your research question, variable types, and sampling or experimental design require waller-duncan. Do not select it only because the data produce a convenient p-value or familiar output.
How the Waller-Duncan Calculator Works
Waller-Duncan uses a Bayesian k-ratio decision rule. The entered Type I to Type II loss ratio, omnibus F statistic, and error degrees of freedom determine the critical t value and minimum significant difference.
The calculation runs in the browser. Submitted values are validated for required numeric ranges, data shape, units and method-specific restrictions before results are shown.
Assumptions and Checks
- The comparison procedure must match the omnibus model, variance pattern, sample sizes, and control-group design.
- Group observations should satisfy the independence or repeated-measure structure of the preceding analysis.
- Interpret adjusted p-values or simultaneous intervals rather than uncorrected pairwise tests.
Required Inputs
- Groups (required)
- Type I / Type II loss ratio (K) (required)
- Alpha (required)
Results Reported
The result workspace shows the final answer and intermediate quantities needed to audit the calculation. Depending on the method, reported values include:
- Method
method - Group Summaries
group_summaries - Mse
mse - Df Between
df_between - Df Error
df_error - Omnibus F
omnibus_f - K Ratio
k_ratio - Waller Critical T
waller_critical_t - Comparisons
comparisons - Comparison Count
comparison_count
Waller-Duncan Calculator Worked Example
Use the example data button to load a known sample, then calculate and review the statistic, p-value or estimate, and interpretation.
| Input | Example value |
|---|---|
| Groups | A: 8,9,6,7
B: 10,12,9,11
C: 14,13,15,16 |
| Type I / Type II loss ratio (K) | 100 |
| Alpha | 0.05 |
Verified Worked Result
The packaged automated fixture produces the following checked values from the example inputs. Display rounding can differ from the full-precision browser result.
| Result | Verified value |
|---|---|
| Group Summaries 0 Name | A |
| Group Summaries 0 N | 4 |
| Group Summaries 0 Mean | 7.5 |
| Group Summaries 0 Variance | 1.6666666666667 |
| Mse | 1.6666666666667 |
| Df Between | 2 |
| Df Error | 9 |
| Omnibus F | 29.6 |
| K Ratio | 100 |
| Waller Critical T | 2.2349029433681 |
| Comparisons 0 Comparison | A vs B |
| Comparisons 0 Mean Difference | -3 |
How to Use This Workspace
- Confirm that the method matches the quantity, hypothesis, model or planning question you need to solve.
- Enter values with compatible units and the requested sample, group, matrix, count, date or option format.
- Use Example Data to inspect a valid input layout, or enter your own values and run the calculation.
- Review the result table, formula, substitutions, warnings and interpretation rather than relying only on the headline number.
- Copy, download or print the result when you need a reusable analysis record.
Understanding and Reporting the Result
Review Method, Group Summaries, Mse, Df Between, Df Error, Omnibus F, K Ratio, Waller Critical T, Comparisons, and Comparison Count. Use the displayed assumptions, warnings, and interpretation before reporting the result. In the Waller-Duncan Calculator result workspace, interpret method, group_summaries, mse, df_between, df_error, omnibus_f together with the method assumptions, warning messages, confidence information, effect magnitude, and diagnostic plots shown for the selected variables.
Do not treat different multiple-comparison procedures as synonyms; each controls error or loss differently and may require a significant omnibus test.
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.
How to Report the Result
When reporting results from the Waller-Duncan Statistical Calculator, identify the design and software, state the valid sample size and exclusions, then report Method, Group Summaries, Mse, Df Between, Df Error, Omnibus F, K Ratio, Waller Critical T. Include the selected alpha level, tail, coding, and assumption decisions when they apply. A reproducible Waller-Duncan Calculator report should identify the mapped variables, valid observations, exclusions or missing-data handling, selected options, principal outputs, uncertainty, diagnostics, and the practical conclusion supported by the analysis.
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 Waller-Duncan Calculator calculate?
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.
Which formula does the Waller-Duncan Calculator use?
Waller-Duncan uses a Bayesian k-ratio decision rule. The entered Type I to Type II loss ratio, omnibus F statistic, and error degrees of freedom determine the critical t value and minimum significant difference.
When should I use the Waller-Duncan Statistical Calculator?
Use the Waller-Duncan Statistical Calculator when your research question, variable types, and sampling or experimental design require waller-duncan. Do not select it only because the data produce a convenient p-value or familiar output.
What inputs does the Waller-Duncan Statistical Calculator require?
Upload or paste data, review the cleaning report, then select the outcome, group, subject, condition, or matrix roles required by Waller-Duncan Calculator.
What does the Waller-Duncan Statistical Calculator report?
Review Method, Group Summaries, Mse, Df Between, Df Error, Omnibus F, K Ratio, Waller Critical T, Comparisons, and Comparison Count. Use the displayed assumptions, warnings, and interpretation before reporting the result.
Can the Waller-Duncan Statistical Calculator analyze Excel or CSV data?
Yes. The file is cleaned locally in the browser, then method-valid variable dropdowns place the selected data into this exact calculator.