One-factor analysis of variance:
A)requires that the number of observations in each group be identical.
B)has less power when the number of observations per group is not identical.
C)is extremely sensitive to slight departures from normality.
D)is a generalization of the t-test for paired observations.

Question

Quizplus · Accepted Answer

One-factor analysis of variance (ANOVA) does not require that the number of observations in each group be identical, but its power can be affected when group sizes are unequal, making option B correct. ANOVA is robust to slight departures from normality, making option C incorrect. It is not a generalization of the t-test for paired observations but rather for comparing means across more than two groups, making option D incorrect. Option A is also incorrect because ANOVA can be conducted with unequal group sizes, although equal sizes are ideal.

One-Factor Analysis of Variance