An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom for the critical value of F areGroup of answer choices6 numerator and 20 denominator degrees of freedom5 numerator and 20 denominator degrees of freedom6 numerator and 20 denominator degrees of freedom5 numerator and 114 denominator degrees of freedom
Question
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom for the critical value of F areGroup of answer choices6 numerator and 20 denominator degrees of freedom5 numerator and 20 denominator degrees of freedom6 numerator and 20 denominator degrees of freedom5 numerator and 114 denominator degrees of freedom
Solution
The degrees of freedom for the critical value of F in an ANOVA procedure are calculated based on the number of groups (samples) and the total number of observations.
The degrees of freedom for the numerator (between groups) is calculated as the number of groups minus 1. In this case, there are 6 samples, so the numerator degrees of freedom would be 6 - 1 = 5.
The degrees of freedom for the denominator (within groups) is calculated as the total number of observations minus the number of groups. Here, each of the 6 samples contains 20 observations, so there are a total of 6 * 20 = 120 observations. Therefore, the denominator degrees of freedom would be 120 - 6 = 114.
So, the correct answer is 5 numerator and 114 denominator degrees of freedom.
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