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The likelihood ratio test for the Hill model

Journal of Biopharmaceutical Statistics, 2017
The Hill model is used to describe many biological phenomena to specify the dose-response relationship in clinical trials and other applications. When testing the null hypothesis of no curve versus the Hill model, the likelihood ratio test (LRT) does not exhibit the appropriate Type I error rate.
Yifang, Li, Russell, Reeve
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Likelihood Ratio Test

2015
In the previous chapter, we have seen that UMP or UMP-unbiased tests exist only for some special families of distributions, while they do not exist for other families.
Pradip Kumar Sahu   +2 more
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Bartlett corrections to likelihood ratio tests

Biometrika, 1995
SUMMARY 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, 1971
SUMMARY 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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k-Sample tests based on the likelihood ratio

Computational Statistics & Data Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Zhang, Yuehua Wu
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Robust properties of likelihood ratio tests

Biometrika, 1982
SUMMARY 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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Likelihood‐Ratio Tests for Hidden Markov Models

Biometrics, 2000
Summary.We consider hidden Markov models as a versatile class of models for weakly dependent random phenomena. The topic of the present paper is likelihood‐ratio testing for hidden Markov models, and we show that, under appropriate conditions, the standard asymptotic theory of likelihood‐ratio tests is valid. Such tests are crucial in the specification
GIUDICI, PAOLO STEFANO   +2 more
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Likelihood Ratio Tests

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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Test Accuracy As Likelihood Ratios

2022
Abstract 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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Likelihood Ratio Tests-II

1989
Hung T. Nguyen, Gerald S. Rogers
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