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Optimal Sample Allocation Under Unequal Costs in Cluster-Randomized Trials

Author

Listed:
  • Zuchao Shen

    (University of Florida)

  • Benjamin Kelcey

    (University of Cincinnati)

Abstract

Conventional optimal design frameworks consider a narrow range of sampling cost structures that thereby constrict their capacity to identify the most powerful and efficient designs. We relax several constraints of previous optimal design frameworks by allowing for variable sampling costs in cluster-randomized trials. The proposed framework introduces additional design considerations and has the potential to identify designs with more statistical power, even when some parameters are constrained due to immutable practical concerns. The results also suggest that the gains in efficiency introduced through the expanded framework are fairly robust to misspecifications of the expanded cost structure and concomitant design parameters (e.g., intraclass correlation coefficient). The proposed framework is implemented in the R package odr.

Suggested Citation

  • Zuchao Shen & Benjamin Kelcey, 2020. "Optimal Sample Allocation Under Unequal Costs in Cluster-Randomized Trials," Journal of Educational and Behavioral Statistics, , vol. 45(4), pages 446-474, August.
    • Handle: RePEc:sae:jedbes:v:45:y:2020:i:4:p:446-474
    DOI: 10.3102/1076998620912418
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    References listed on IDEAS

    as
    1. Connelly, Luke B., 2003. "Balancing the Number and Size of Sites: An Economic Approach to the Optimal Design of Cluster Samples," MPRA Paper 14676, University Library of Munich, Germany.
    2. Glynn, T.J. & Shopland, D.R. & Manley, M. & Lynn, W.R. & Freedman, L.S. & Green, S.B. & Corle, D.K. & Graubard, B. & Baker, S. & Mills, S.L. & Chapelsky, D.A. & Gail, M. & Mark, S. & Bettinghaus, E. &, 1995. "Community intervention trial for smoking cessation (COMMIT): I. Cohort results from a four-year community intervention," American Journal of Public Health, American Public Health Association, vol. 85(2), pages 183-192.
    3. repec:mpr:mprres:5863 is not listed on IDEAS
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