When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:
A)The variability among the groups decreases relative to the variability within the groups.
B)The total variability increases.
C)The total variability decreases.
D)The variability among the groups increases relative to the variability within the groups.

Question

Quizplus · Accepted Answer

The F statistic in a one-way ANOVA is the ratio of the variance among the group means to the variance within the groups. If the variability among the groups decreases relative to the variability within the groups, the F statistic will decrease.

When Using a Completely Randomized Design (One-Way Analysis of Variance),the