An ANOVA procedure is used for data that was obtained from four sample groups each comprised of four observations. The degrees of freedom for the critical value of F are
Question
An ANOVA procedure is used for data that was obtained from four sample groups each comprised of four observations. The degrees of freedom for the critical value of F are
Solution
In an ANOVA test, the degrees of freedom are calculated based on the number of groups and the total number of observations.
The degrees of freedom between groups (df1) is calculated as the number of groups minus 1. In this case, there are 4 groups, so df1 = 4 - 1 = 3.
The degrees of freedom within groups (df2) is calculated as the total number of observations minus the number of groups. In this case, there are 4 groups with 4 observations each, so there are a total of 16 observations. Therefore, df2 = 16 - 4 = 12.
So, the degrees of freedom for the critical value of F in this ANOVA procedure are 3 and 12.
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