# Oneway Anova

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The Oneway ANOVA Form does calculations for Fixed and Random Effects Oneway ANOVAs, and the Kruskal-Wallis Nonparametric Oneway ANOVA for ordinal data. With the Fixed Effects model, omega-squared is calculated. With the Random Effects model, the between-component variance, total variance, and Intraclass Correlation coefficient are calculated.

When selected, three dispersion tests will be output: the Bartlett-Box-F, the Levene Test, and the ADM(n-1) procedure.

## ANOVA Calculations

Where:

- J is the number of Groups
- n is the sample size per group

### Fixed

Where is the Omega-Squared value.

### Random

Where:

is the estimated Treatment Variance, and

is the Intraclass Correlation Coefficient.

### Kruskal-Wallis

The data are ranked, with corrections made for ties. The H statistic is calculated as follows. H' is the correction for ties. H is tested using a Chi-square distribution, with k-1 degrees of freedom.

## Dispersion Testing

Three dispersion tests are included in MVPstats.

- The ADM(n-1) test is a Oneway on the Absolute Deviations from the Sample Medians, with the center point omitted.
- The Levene test is a Oneway on the Absolute Deviations from the Means.
- The Bartlett-Box-F, which requires Normality, uses the following calculations.

Where F has (k-1, f2) degrees of freedom.

### Menu

**File**provides the ability__Save__or Print the output, access the__Data Editor__, or return to the__Main Form__.**Edit**allows__Editing Output Text__by cutting, copying, pasting, and undoing entry.**View**provides the ability to enlarge/reduce the Form size for easier viewing.**Help**provides access to this Website.

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