In analysis of variances, the sum of squares for error (SSE) is zero when all the sample variances are equal.

Name: In analysis of variances, the sum of squares for error (SSE) is zero when all the sample variances are equal.
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The sum of squares for error (SSE) reflects the variability within groups, not the equality of variances across different groups. SSE can be zero only when all observations within each group are identical, not merely when sample variances are equal.

In Analysis of Variances, the Sum of Squares for Error