Statistics for the Behavioral Sciences
Quiz 17: Two-Way Between-Subjects Analysis of Variance
The Test of the Null Hypothesis for the Main Effect
The test of the null hypothesis for the main effect of factor A is made with reference to the F value derived from SS
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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.
When the sample sizes in each cell are moderate to large in size and the same for all groups,the F test is quite robust to even marked departures from normality.
As the number of groups in the factorial design increases,homogeneity of population variances becomes increasingly problematic.
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