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Bartlett corrections to likelihood ratio tests
Biometrika, 1995SUMMARY This note resolves two conflicting published corrections to Hayakawa's (1977) expansion of the likelihood ratio statistic, one of which suggests that a coefficient in the expansion is always zero and therefore irrelevant, the other suggesting that the formula for the coefficient is in error and that the coefficient should not be present.
Chesher, AD, Smith, RJ
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Likelihood ratio and associated test criteria
Biometrika, 1971SUMMARY A more accurate approximation is derived for the power function of the likelihood ratio criterion for testing a simple null hypothesis against a class of composite alternative hypotheses. Two rival test statistics suggested by Rao (1965) and asymptotically equivalent to the likelihood ratio procedure are examined and approximations are obtained
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Robust properties of likelihood ratio tests
Biometrika, 1982SUMMARY The usual asymptotic chi-squared distribution for the likelihood ratio test statistic is based on the assumptions that the data come from the parametric model under consideration and that the parameter satisfies the null hypothesis. In this paper we examine the distribution of the likelihood ratio statistic when the data do not come from the ...
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A nonparametric likelihood ratio test
Journal of Statistical Computation and Simulation, 1983The likelihood ratio principle is employed to develop a nonparametric test for testing stochastic ordering as a null hypothesis. This test is also adapted for testing equality of distributions against one-sided stochastic ordering alternatives. Power studies indicate this test compares favorably with the Kolmogorov-Smirnov and Mann-Whitney-Wilcoxon in ...
Richard L. Dykstara +2 more
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Test Accuracy As Likelihood Ratios
2022Abstract This chapter introduces readers to the use of Bayes’ theorem as a potential way to address the drawbacks of sensitivity, specificity, and predictive values. It describes the process of updating the probability of a condition based on test results and that the principal statistics (Bayes’ factors) are the likelihood ratios which ...
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2006
The LRT is a principal method in a standard hypothesis testing framework. It parallels the maximum likelihood method in estimation theory.
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The LRT is a principal method in a standard hypothesis testing framework. It parallels the maximum likelihood method in estimation theory.
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2011
The sensitivity of the chi-square test (Chap. 11) and the odds ratio test (Chap. 12) for testing cross-tabs is limited, and not entirely accurate if the values in one or more cells is smaller than 5. The log likelihood ratio test is an adequate alternative with generally better sensitivity, and, so, it must be absolutely recommended.
Ton J. Cleophas, Aeilko H. Zwinderman
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The sensitivity of the chi-square test (Chap. 11) and the odds ratio test (Chap. 12) for testing cross-tabs is limited, and not entirely accurate if the values in one or more cells is smaller than 5. The log likelihood ratio test is an adequate alternative with generally better sensitivity, and, so, it must be absolutely recommended.
Ton J. Cleophas, Aeilko H. Zwinderman
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On a Robust Version of the Likelihood Ratio Test
Theory of Probability & Its Applications, 1975Khalfina, N. M., Khalfin, L. A.
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