Tests of ordered hypotheses in linkage in heredity

Gilberto A. Paula and Pranab K. Sen

Statistics & Probability Letters, 1994, vol. 20, issue 5, 395-400

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 (search for similar items in EconPapers)
Date: 1994
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