Order restricted inference for multivariate binary data with application to toxicology.

ABSTRACT: In many applications researchers collect multivariate binary response data under two or more, naturally ordered, experimental conditions. In such situations one is often interested in using all binary outcomes simultaneously to detect an ordering among the experimental conditions. To make such comparisons we develop a general methodology for testing for the multivariate stochastic order between K ≥ 2 multivariate binary distributions. The proposed test uses order restricted estimators which, according to our simulation study, are more efficient than the unrestricted estimators in terms of mean squared error. The power of the proposed test was compared with several alternative tests. These included procedures which combine individual univariate tests for order, such as union intersection te

SUBMITTER: Davidov O 

PROVIDER: S-EPMC3437998 | biostudies-literature | 2011

REPOSITORIES: biostudies-literature