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Sensitivity analysis for clustered observational studies with an application to the effectiveness of magnet nursing hospitals

Melody Huang et al.

Journal of the Royal Statistical Society. Series A: Statistics in Society2026https://doi.org/10.1093/jrsssa/qnag002article
AJG 3
Weight
0.50

Abstract

In a clustered observational study, treatment is assigned to groups and all units within the group are exposed to the treatment. Here, we use a clustered observational study (COS) design to estimate the effectiveness of Magnet Nursing certificates for emergency surgery patients. Recent research has introduced specialized weighting estimators for the COS design that balance baseline covariates at the unit and cluster level. These methods allow researchers to adjust for observed confounders but are sensitive to unobserved confounding. In this paper, we develop new sensitivity analysis methods tailored to weighting estimators for COS designs. We provide several key contributions. First, we introduce a key bias decomposition, tailored to the specific confounding structure that arises in a COS. Second, we develop a sensitivity framework for weighted COS designs that constrain the error in the underlying weights. We introduce both a marginal sensitivity model and a variance-based sensitivity model, and extend both to accommodate multiple estimands. Finally, we propose amplification and benchmarking methods to better interpret the results. Throughout, we illustrate our proposed methods by analysing the effectiveness of Magnet nursing hospitals.

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https://doi.org/https://doi.org/10.1093/jrsssa/qnag002

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@article{melody2026,
  title        = {{Sensitivity analysis for clustered observational studies with an application to the effectiveness of magnet nursing hospitals}},
  author       = {Melody Huang et al.},
  journal      = {Journal of the Royal Statistical Society. Series A: Statistics in Society},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1093/jrsssa/qnag002},
}

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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