a Instituto de Matemática e Estatística, USP, Caixa Postal 20570 (Agêncιa Iguatemi), 01498-970, São Paulo, Brazil
b Departments of Biostatistics and Statistics, University of North Carolina, Chapel Hill, NC 27599-7400, USA
Abstract:
The asymptotic null distribution of the likelihood ratio test for two cases of ordered hypotheses in a particular genetic model is considered. A simple iterative process is proposed in order to get the restricted estimates. It is shown that both tests have asymptotically a chi-bar squared distribution and the same size. A simulation study is also conducted in order to compare the usual unrestricted test with the corresponding one of ordered hypotheses. Finally, the results are extended to some special cases.