If n 1 ≠ n 2 ≠ n k , then ΣS _total ≠ ΣS _within + ΣS _between .

Name: If n 1 ≠ n 2 ≠ n k , then ΣS total ≠ ΣS within + ΣS between .
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Quizplus · Accepted Answer

This is the formula for the analysis of variance (ANOVA) and it is only true if the conditions for ANOVA are met. One of these conditions is that the observations within each group must be independent, which is not the case if n1 ≠ n2 ≠ nk. Therefore, the statement is false.

If N 1 ≠ N 2 ≠ N K