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 used in testing for differences between treatment means is based on the error degrees of freedom. This is because it measures how large the difference between the sample means is relative to the variability within each treatment group, as represented by the error term in the ANOVA model. The treatment degrees of freedom and total degrees of freedom are used in calculating other components of the ANOVA table, such as the sum of squares and mean squares for the treatments and error. The ratio of treatment and error degrees of freedom is used in calculating the F-statistic, which is a test of the overall significance of the treatment effects.

When Testing for Differences Between Treatment Means,the T-Statistic Is Based