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Semiparametric linear transformation models form a versatile class of regression models with the Cox proportional hazards model being the most well‐known member. These models are well studied for right censored outcomes and are typically used in survival analysis. We consider transformation models as a tool for situations with uncensored continuous outcomes where linear regression is not appropriate...
The Mann‐Whitney U test is frequently used to evaluate treatment effects in randomized experiments with skewed outcome distributions or small sample sizes. It may lack power, however, because it ignores the auxiliary baseline covariate information that is routinely collected. Wald and score tests in so‐called probabilistic index models generalize the Mann‐Whitney U test to enable adjustment for covariates,...
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