Post Hoc Tests
Waller-Duncan Calculator
Waller-Duncan Calculator run Waller-Duncan post hoc comparisons.
Post Hoc Tests
Waller-Duncan Calculator
Run Waller-Duncan post hoc comparisons.
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.
About the Waller-Duncan Calculator
Run Waller-Duncan post hoc comparisons. Post hoc procedures identify which means differ while applying the named family-wise, stepwise, unequal-variance, control-comparison, or decision-theoretic rule.
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 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
- Groups (required)
- Type I / Type II loss ratio (K) (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:
methodgroup_summariesmsedf_betweendf_erroromnibus_fk_ratiowaller_critical_tcomparisonscomparison_count
Waller-Duncan Calculator 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 |
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
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.
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.
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.
What input does this calculator need?
The calculator form shows the required values and validates them before calculating.
Are the formulas visible?
Yes. Each calculator displays its method, assumptions, and interpretation unless disabled by the site administrator.