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Brenda M. Vincent

University of Arizona



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Melanie L. Bell

University of Arizona



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375 – Contributed Poster Presentations: Section on Statistics in Epidemiology

Quantifying Power and Bias in Cluster Randomized Trials Using Mixed Models vs Cluster-Level Analysis in the Presence of Missing Data: A Simulation Study

Sponsor: Section on Statistics in Epidemiology
Keywords: cluster randomized trial, power, bias, missing data, mixed model

Brenda M. Vincent

University of Arizona

Melanie L. Bell

University of Arizona

Background/Aims: The two main approaches used to analyze cluster randomized trials are cluster-level and individual-level analysis. In a cluster-level analysis, summary measures are obtained for each cluster and then the two sets of cluster-specific measures are compared, such as with a t-test of the cluster means. A mixed model which takes into account cluster membership is an example of an individual-level analysis. The purpose of this study was to compare power and bias of a cluster-level analysis and an individual level analysis when data are complete, missing completely at random (MCAR) and missing at random (MAR). Methods: We used a simulation study to quantify and compare power and bias of these two methods. Complete datasets were generated and then data were deleted to simulate MCAR and MAR data. A balanced design, with two treatment groups and two time points was assumed. Cluster size, variance components (including within-subject, within-cluster and between-cluster variance) and proportion missing were varied to simulate common scenarios seen in practice. For each combination of parameters, 1000 datasets were generated and analyzed. Results: Results of our simulation study indicate that cluster-level analysis resulted in substantial loss of power (up to 26%) when data were MAR. Individual-level analysis had higher power and remained unbiased, even with a small number of clusters. Conclusion: Individual-level modeling which takes into account cluster membership performs better in the presence of missing data in terms of power and bias.

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