Fred conducts a one-way ANOVA comparing five groups, each of which consists of 5 participants (N = 5). In evaluating the F-ratio for this analysis, what is the critical value for α = .05?
A) 2.69
B) 2.78
C) 2.87
D) 5.05

Question

Quizplus · Accepted Answer

The critical value for an F-ratio in a one-way ANOVA depends on the degrees of freedom for the numerator (df between) and the denominator (df within). With 5 groups each consisting of 5 participants, the degrees of freedom between groups (df between) is 4 (5-1) and the degrees of freedom within groups (df within) is 20 (5*5 - 5). Consulting an F-distribution table for α = .05, with df between = 4 and df within = 20, the critical value is approximately 2.87.

Fred Conducts a One-Way ANOVA Comparing Five Groups, Each of Which