When testing for differences between treatment means, the t statistic is based on:
A) The treatment degrees of freedom.
B) The total degrees of freedom.
C) The error degrees of freedom.
D) The ratio of treatment and error degrees of freedom.

Question

Quizplus · Accepted Answer

The t statistic is based on the error degrees of freedom, which represent the variability that cannot be explained by the treatment effects. The formula for the t statistic takes into account the sample means, sample standard deviations, and sample sizes of the treatment groups, as well as the pooled estimate of the error variance. The degrees of freedom used in the calculation of the t statistic are the error degrees of freedom, which are equal to the total degrees of freedom minus the treatment degrees of freedom.

When Testing for Differences Between Treatment Means, the T Statistic