A researcher computes the following one-way within-subjects ANOVA table for a study in which k = 3 and n = 12.State the decision at a .05 level of significance.
A)Reject the null hypothesis.
B)Retain the null hypothesis.
C)There is not enough information to answer this question.

Question

A researcher computes the following one-way within-subjects ANOVA table for a study in which k = 3 and n = 12.State the decision at a .05 level of significance. 
A)Reject the null hypothesis. 
B)Retain the null hypothesis. 
C)There is not enough information to answer this question.

Quizplus · Accepted Answer

To make a decision, we need to compare the calculated F-value with the critical F-value at a .05 level of significance for (k-1) = 2 and (k-1)(n-1) = 22 degrees of freedom. Looking up the critical F-value from the F-table, we find it to be 3.49. In this case, the calculated F-value is larger than the critical F-value, so we reject the null hypothesis and conclude that there is a significant difference between the group means.

A Researcher Computes the Following One-Way Within-Subjects ANOVA Table for a Study