Which of the following correctly describes the F statistic for the completely randomized design?
A) It equals the ratio of mean squares for treatments (MST) to mean squares for error (MSE).
B) It equals the ratio of sum of squares for treatments (SST) to sum squares for error (SSE).
C) It equals the ratio of sum of squares for treatments (SST) to total sum of squares (Total SS).
D) It equals the ratio of sum of squares for error (SSE) to total sum of squares (Total SS).

Question

Quizplus · Accepted Answer

The F statistic for the completely randomized design is equal to the ratio of the mean squares for treatments (MST) to the mean squares for error (MSE). This is because in the completely randomized design, we are interested in comparing the variability between groups (treatments) to the variability within groups (error). Therefore, the F statistic is calculated as MST/MSE.

Which of the Following Correctly Describes the F Statistic for the Completely