In one-way analysis of variance,if all the sample means are equal,then the:
A)total sum of squares is zero.
B)sum of squares for treatments is zero.
C)sum of squares for error is zero.
D)sum of squares for error equals sum of squares for treatments.

Question

Quizplus · Accepted Answer

If all sample means are equal, it means that there is no significant difference between the treatments or groups. Hence, the sum of squares for treatments, which measures the variation between the groups, would be zero. However, the total sum of squares and sum of squares for error would not be zero, as there would still be some variation in the data.

In One-Way Analysis of Variance,if All the Sample Means Are