If the mean and variance are computed for each sample in an independent-measures,two-factor experiment,which of the following types of sample data will tend to produce large F-ratios for the two-factor ANOVA?
A)Large differences between sample means and small sample variances
B)Large differences between sample means and large sample variances
C)Small differences between sample means and small sample variances
D)Small differences between sample means and large sample variances

Question

Quizplus · Accepted Answer

Large differences between sample means indicate that the treatment effects are substantial, while small sample variances suggest that the data points within each group are close to their group mean, leading to clearer distinctions between the groups. This combination tends to produce large F-ratios in a two-factor ANOVA, indicating significant effects.

If the Mean and Variance Are Computed for Each Sample