In a one-factor between-subjects analysis of variance, the F statistic is defined as.
A) $M S _ { A } \div d f _ { \text {Error } }$
B) $M S _ { \text {Total } } \div M S _ { \text {Error } }$
C) $S S _ { \mathcal { A } } \div d f _ { \text {Error } }$
D) $M S _ { A } \div M S _ { \text {Error } }$

Question

In a one-factor between-subjects analysis of variance, the F statistic is defined as. 
A) $M S _ { A } \div d f _ { \text {Error } }$
B) $M S _ { \text {Total } } \div M S _ { \text {Error } }$
C) $S S _ { \mathcal { A } } \div d f _ { \text {Error } }$
D) $M S _ { A } \div M S _ { \text {Error } }$

Quizplus · Accepted Answer

The F statistic in a one-factor between-subjects ANOVA is defined as the ratio of the mean square for the factor (MSA) to the mean square error (MSE). Therefore, the correct formula is MSA/MSE, which is represented by choice D. Choices A and C are incorrect because they only include either MSA or SSA, but not the MSE. Choice B is incorrect because it includes the total sum of squares (SST), which is not used in the calculation of the F statistic in a one-factor ANOVA.

In a One-Factor Between-Subjects Analysis of Variance, the F Statistic MSA÷dfError M S _ { A } \div d f _ { \text {Error } }MSA​÷dfError ​

In a One-Factor Between-Subjects Analysis of Variance, the F Statistic $M S _ { A } \div d f _ { \text {Error } }$