科研之友
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摘要
In an observational study of the effects caused by treatments, a sensitivity analysis asks about the magnitude of bias from unmeasured covariates that would need to be present to alter the conclusions of a naive analysis that presumes adjustments for measured covariates remove all biases. When there are two or more outcomes in an observational study, these outcomes may be unequally sensitive to unmeasured biases, and the least sensitive finding may concern a combination of several outcomes. A method of sensitivity analysis is proposed using Scheffe projections that permits the investigator to consider all linear contrasts in two or more scored outcomes while controlling the family-wise error rate. In sufficiently large samples, the method will exhibit insensitivity to bias that is greater than or equal to methods, such as the Bonferroni-Holm procedure, that focus on individual outcomes; that is, Scheffe projections have larger design sensitivities. More precisely, if the least sensitive linear combination is a single one of the several outcomes, then the design sensitivity using Scheffe projections equals that using a Bonferroni correction, but if the least sensitive combination is a nontrivial combination of two or more outcomes, then Scheffe projections have larger design sensitivities. This asymptotic property is examined in terms of finite sample power of sensitivity analyses using simulation. The method is applied to a replication with recent data of a well-known study of the effects of smoking on periodontal disease. In the example, the comparison that is least sensitive to bias from unmeasured covariates combines results for lower and upper teeth, but emphasizes lower teeth. This pattern would be difficult to anticipate prior to examining the data, but Scheffe's method permits use of this unanticipated pattern without fear of capitalizing on chance.
- 出版日期2016-9
