The F tests for the three sources of variability in two-way between-subjects analysis of variance are based on the same assumptions that underlie one-way between-subjects analysis of variance.

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The F tests for the three sources of variability in two-way between-subjects analysis of variance, namely main effects of factor A, main effects of factor B, and interaction effects of factors A and B, are all based on the same assumptions as the one-way between-subjects analysis of variance, including normality, homogeneity of variance, independence, and random sampling. Therefore, the statement is true.

The F Tests for the Three Sources of Variability in Two-Way