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Common TF–IDF variants arise as key components in the test statistic of a penalized likelihood-ratio test for word burstiness [PDF]
Discover ComputingTF–IDF is a classical formula that is widely used for identifying important terms within documents. We show that TF–IDF-like scores arise naturally from the test statistic of a penalized likelihood-ratio test setup capturing word burstiness (also known ...
Zeyad Ahmed +3 more
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How to use χ2 test correctly——the likelihood ratio test and the implementation of SAS software
Sichuan jingshen weisheng, 2021 The purpose of this article was to introduce the likelihood ratio test and the SAS implementation. Specifically， three definitions of the likelihood ratio test statistics and six more commonly used likelihood ratio test statistics were introduced.
Hu Chunyan, Hu Liangping
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Universe, 2021 The likelihood ratio for a continuous gravitational wave signal is viewed geometrically as a function of the orientation of two vectors; one representing the optimal signal-to-noise ratio, and the other representing the maximised likelihood ratio or F ...
Karl Wette
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Latent-variable Approaches Utilizing Both Item Scores and Response Times To Detect Test Fraud
Open Education Studies, 2021 There is a growing interest in approaches based on latent-variable models for detecting fraudulent behavior on educational tests. Wollack and Schoenig (2018) noted the presence of five types of statistical/psychometric approaches to detect the three ...
Sinharay Sandip
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PLoS Computational Biology, 2023 Likelihood ratios are frequently utilized as basis for statistical tests, for model selection criteria and for assessing parameter and prediction uncertainties, e.g. using the profile likelihood. However, translating these likelihood ratios into p-values
Christian Tönsing +3 more
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A Two-Sample Test of High Dimensional Means Based on Posterior Bayes Factor
Mathematics, 2022 In classical statistics, the primary test statistic is the likelihood ratio. However, for high dimensional data, the likelihood ratio test is no longer effective and sometimes does not work altogether.
Yuanyuan Jiang, Xingzhong Xu
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Geometric Understanding of Likelihood Ratio Statistics [PDF]
Journal of the American Statistical Association, 2000 Abstract It is well known that twice a log-likelihood ratio statistic follows asymptotically a chi-square distribution. The result is usually understood and proved via Taylor's expansions of likelihood functions and by assuming asymptotic normality of maximum likelihood estimators (MLEs).
Fan, Jianqing +2 more
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A Note on the Limiting Distribution of the Likelihood Ratio Statistic for Testing Equality Constraints [PDF]
The Egyptian Statistical Journal, 1983 The asymptotic chi-square distribution of the likelihood ratio statistic -2 log λ for testing equality constraints, as developed earlier by Silvey, is extended to the case of singular information matrices.
Naeem Soliman, Abdalla El-Helbawy
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Empirical and simulated adjustments of composite likelihood ratio statistics [PDF]
Journal of Statistical Computation and Simulation, 2015 15 ...
CATTELAN, MANUELA, SARTORI, NICOLA
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BMC Genetics, 2007 Background: In this paper, we propose a one degree of freedom test for association between a candidate gene and a binary trait. This method is a generalization of Terwilliger's likelihood ratio statistic and is especially powerful for the situation of ...
Hsu Li +5 more
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