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On the centrosymmetry of treatment effect estimators for stepped wedge and related cluster randomized trial designs

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  • Bowden, Rhys
  • Forbes, Andrew B.
  • Kasza, Jessica

Abstract

Stepped wedge and other longitudinal cluster randomized trials are being conducted with increasing frequency, and in recent years several new treatment effect estimators for the analysis of these trials have been proposed. In this paper we discuss a key property that treatment effect estimators should possess, related to the symmetry of the designs under reversing the order of the cluster-period cells. We define various forms of this symmetry: symmetry of designs, regression models, and treatment effect estimators. We prove that when designs and regression models possess these symmetries, the most efficient treatment effect estimator will have a similar symmetry. We apply our results to a recently-described estimator for stepped wedge designs.

Suggested Citation

  • Bowden, Rhys & Forbes, Andrew B. & Kasza, Jessica, 2021. "On the centrosymmetry of treatment effect estimators for stepped wedge and related cluster randomized trial designs," Statistics & Probability Letters, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:stapro:v:172:y:2021:i:c:s0167715220303254
    DOI: 10.1016/j.spl.2020.109022
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    References listed on IDEAS

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    1. Li, Fan & Turner, Elizabeth L. & Preisser, John S., 2018. "Optimal allocation of clusters in cohort stepped wedge designs," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 257-263.
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    More about this item

    Keywords

    Mixed effects model; Symmetry;

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