In a one-factor repeated measures ANOVA, A (fixed factor) has 4 levels, and each cell has 10 observations. The F_A ratio has degrees of freedom equal to? A) 4, 9 B) 4,27 C) 3,27 D) 3,36

Question

Quizplus · Accepted Answer

The degrees of freedom for the numerator (between groups) is calculated as the number of levels minus one, which is 4 - 1 = 3. The degrees of freedom for the denominator (within groups) is calculated as the total number of observations minus the number of levels, which is (4*10) - 4 = 36. However, since the question specifies the F_A ratio, which typically involves a specific structure of analysis not directly mentioned here, the closest match given the standard approach to degrees of freedom in a one-factor repeated measures ANOVA would be for the within-groups (error) term, which would be the number of subjects minus one times the number of levels, leading to (10-1)*4 = 36. However, the correct interpretation based on the options provided and standard ANOVA calculations would be 3 for between (levels - 1) and 27 for within (subjects - 1) * levels, assuming each subject is measured in each condition, leading to a corrected understanding of the within-groups calculation as (10-1)*3 = 27, not 36 as initially calculated.

In a One-Factor Repeated Measures ANOVA, a (Fixed Factor) Has