The sum of squares for treatments, SST, achieves its smallest value (zero) when all the sample means are equal.

Name: The sum of squares for treatments, SST, achieves its smallest value (zero) when all the sample means are equal.
Brand: Quizplus
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Question

Quizplus · Accepted Answer

This is true by definition. SST represents the variation attributable to differences between treatment means, so if all the treatment means are equal, there will be no variation and SST will be zero.

The Sum of Squares for Treatments, SST, Achieves Its Smallest