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Tests of ordered hypotheses in linkage in heredity |
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| Authors: | Gilberto A Paula Pranab K Sen |
| Institution: | 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. |
| Keywords: | Hypotheses testing Isotonic regression Likelihood ratio test Nonlinear inequality constraints tests Variance function |
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