In a two-way analysis of variance,what is the population variance estimate for the denominator of the F ratios for the main and interaction effects?
A)All effects are tested using the same estimate based on averaging the estimates of the variance of scores within each cell.
B)Each effect is tested using a variance estimate based on the variation within the appropriate groupings.
C)Each effect is tested using a variance estimate based on the variation among the appropriate marginal means.
D)The row and column effects are tested using an estimate based on the variation within the appropriate groupings,but the interaction effect is tested based on averaging the estimates based on variance of scores within each cell.

Question

Quizplus · Accepted Answer

All effects in a two-way ANOVA (main effects and interaction effects) are tested against the same error term, which is the estimate of the population variance based on the average of the variances within each of the cells (groups formed by the combination of levels of the two factors). This provides a common denominator for the F ratios, facilitating comparison and interpretation.

In a Two-Way Analysis of Variance,what Is the Population Variance