In a two-way analysis of variance, what is the population variance estimate for

Question

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.

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.

Explanation / Answer

In a two way ANOVA, denomiantor is an estimate of populaiton variance based on the sample variances. So option A is correct.

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