We study conditions for the supersolvability of a finite group under the assumption that all subgroups of order p (or all subgroups of order 4 if p = 2) in a Sylow p-subgroup P are contained in the hyperquasicenter of the normalizer of P.
In designing longitudinal studies, researchers must determine the number of subjects to randomize based on the power to detect a clinically meaningful treatment difference and a proposed analysis plan. In this paper, we present formulas for sample size estimation and an assessment of statistical power for a two-treatment repeated measures design allowing for subject attrition. These formulas can be used for comparing two treatment groups across time in terms of linear contrasts. Subjects are assumed to drop out of the study at random so that the missing data do not alter the parameters of interest.