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MVPstats — Oneway Anova

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.

ONEWAYFORM

ANOVA Calculations

OnewayCalcs

Where:

Fixed

Oneway-OmegaSq

Where OmegaSq is the Omega-Squared value.

Random

Oneway-RandomCalcs

Where:

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.

Oneway-K-W H Calc

Dispersion Testing

Three dispersion tests are included in MVPstats.

Oneway-BBF Calc

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

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Page Updated: 01/15/2014
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