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.
Oneway Speed Buttons
Returns to the last Form or the Main Form.
Opens a Data File.
Displays the Data Editor.
Saves the output to a file.
Prints the Text.
Brings up the Plots Form.
Copies Selection to the clipboard.
Pastes Text from the clipboard.
Increases the Font.
Decreases the Font.
Brings up the Main Form.
Brings up the Help file.
Hides the form.
Action Button
Confidence Level
Decimal Place Change
Output Text
is clicked. You may save, print, edit, cut, copy, and paste text in this area.