Testing a Partial Ordering of Population Means with Application to Inference about Growth Habits of Cowpea Genotypes.
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.
Jeske
Daniel R
DR
Department of Statistics, Room 2605 STAT-COMP Building, University of California, Riverside, California 92521, USA. daniel.jeske@ucr.edu
Wang
Guangyao
G
McGiffen
Milton E
ME
D000465:Algorithms; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D007887:Fabaceae / Q000235:genetics* / Q000254:growth & development*; D005828:Genetics, Population / Q000379:methods*; D005838:Genotype; D008954:Models, Biological; D015233:Models, Statistical