Dm. Murray et al., ANALYSIS OF DATA FROM GROUP-RANDOMIZED TRIALS WITH REPEAT OBSERVATIONS ON THE SAME GROUPS, Statistics in medicine, 17(14), 1998, pp. 1581-1600
This study used Monte Carlo simulations to evaluate the performance of
alternative models for the analysis of group-randomized trials having
more than two time intervals for data collection. The major distincti
on among the models tested was the sampling variance of the interventi
on effect. In the mixed-model ANOVA, the sampling variance of the inte
rvention effect is based on the variance among group x time-interval m
eans. In the random coefficients model, the sampling variance of the i
ntervention effect is based on the variance among the group-specific s
lopes. These models are equivalent when the design includes only two t
ime intervals, but not when there are more than two time intervals. Th
e results indicate that the mixed-model ANOVA yields unbiased estimate
s of sampling variation and nominal type I error rates when the group-
specific time trends are homogenous. However, when the group-specific
time trends are heterogeneous, the mixed-model ANOVA yields downwardly
biased estimates of sampling variance and inflated type I error rates
. In contrast, the random coefficients model yields unbiased estimates
of sampling variance and the nominal type I error rate regardless of
the pattern among the groups. We discuss implications for the analysis
of group-randomized trials with more than two time intervals. (C) 199
8 John Wiley & Sons, Ltd.