Testing a Partial Ordering of Population Means with Application to Inference about Growth Habits of Cowpea Genotypes.

Biometrics

Department of Statistics, Room 2605 STAT-COMP Building, University of California, Riverside, California 92521, USA.

Published: December 2007

Using general results available in the literature, we derive the likelihood ratio test for a particular partial ordering of means that naturally arises in a biological context. We then show that the conceptual and computational complexity of the derivation can be substantially reduced by equivalently deriving the test using the intersection-union principle for decomposing a complex null hypothesis into elemental forms. A Monte Carlo algorithm for obtaining the p-value of the test is proposed. The test procedure is illustrated with a data set of the competitive ability of several cowpea genotypes, where previous experiments have indicated the proposed partial order of the means. A simulation study is used to examine the power of the test.

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http://dx.doi.org/10.1111/j.1541-0420.2007.00831.xDOI Listing

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