The distribution of the test statistic for analysis of variance is the:
A) normal distribution.
B) student t-distribution.
C) F-distribution.
D) Poisson distribution.

Question

Quizplus · Accepted Answer

The distribution of the test statistic for analysis of variance is the F-distribution. This is because the test statistic is the ratio of two variances, and the F-distribution describes the ratio of two chi-squared distributions, which themselves arise from the variance of normally distributed samples.

The Distribution of the Test Statistic for Analysis of Variance