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Power, sample size and smallest detectable effect determination for multivariate studies
Author(s) -
Greenland Sander
Publication year - 1985
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780040203
Subject(s) - multivariate statistics , statistics , sample size determination , multivariate analysis , sample (material) , power (physics) , econometrics , mathematics , computer science , chemistry , chromatography , physics , quantum mechanics
This paper discusses some general methods for determining approximate power, sample size, and smallest detectable effect for studies of multiple risk factors. These methods are based on standard large‐sample formulae for determining the power of chi‐square tests, and emphasis is given to determinations for Pearson χ 2 tests in multiway contingency tables. The methods are illustrated in application to the design of a clinical trial of the preventive effect of α‐tocopherol, ascorbic acid and β‐carotene on colon polyp recurrence, and a case‐control study of the joint effect of smoking and asbestos exposure on lung cancer incidence.