On permutation tests for hidden biases in observational studies: An application of Holley's inequality to the Savage lattice

DOI10.1214/aos/1176347131zbMath0684.62038OpenAlexW1985855413MaRDI QIDQ1825564

Paul R. Rosenbaum

Publication date: 1989

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347131

zbMATH Keywords

permutation testslattice theoryobservational studiesrandomized experimentssensitivity analysessigned rank testunbiased testdecreasing in transpositionrank sum testdecreasing reflection functiondistribution of treatment assignmentsHolley inequalityMantel- Haenszel testMcNemar-Cox testrandomization distribution

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Combinatorial probability (60C05) Distributive lattices (06D99)

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A Stochastic Comparison for Arrangement Increasing Functions ⋮ Can we reliably detect biases that matter in observational studies? ⋮ Comment: Outcome-wide individualized treatment strategies ⋮ Sensitivity analysis for two control groups

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