Power comparison of Rao′s score test, the Wald test and the likelihood ratio test in (2xc) contingency tables

Anita Dobek; Krzysztof Moliński; Ewa Skotarczak

doi:10.1515/bile-2015-0009

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Power comparison of Rao′s score test, the Wald test and the likelihood ratio test in (2xc) contingency tables

Biometrical Letters

Volume 52 (2015): Issue 2 (December 2015)

By: Anita Dobek, Krzysztof Moliński and Ewa Skotarczak

Open Access

|Dec 2015

Abstract

There are several statistics for testing hypotheses concerning the independence of the distributions represented by two rows in contingency tables. The most famous are Rao′s score, the Wald and the likelihood ratio tests. A comparison of the power of these tests indicates the Wald test as the most powerful.

References

Chandra T.K., Joshi S.N. (1983): Comparison of likelihood ratio, Rao’s and Wald’s tests and a conjecture of C.R. Rao. Sankhya A, 45: 226-246.
Search in Google Scholar
Fox J. (1997): Applied regression analysis, linear models, and related methods. Thousand Oaks, CA, US: Sage Publications, Inc.
Search in Google Scholar
Li B. (2001): Sensitivity of Rao’s score test, the Wald test and the likelihood ratio test to nuisance parameters. J. Statistical Planning and Inference 97: 57-66.10.1016/S0378-3758(00)00345-1
Search in Google Scholar
Madansky A. (1989): A comparison of the Likelihood Ratio, Wald, and Rao tests. In: Contributions to Probability and Statistics, I.J. Gleser et al. (eds.), Springer, New York: 465-471.10.1007/978-1-4612-3678-8_33
Search in Google Scholar
Neyman J., Pearson E.S. (1928): On the use and interpretation of certain test criteria. Biometrika 20A: 175-240.
Search in Google Scholar
Peers H.W. (1971): Likelihood ratio and associated test criteria. Biometrika 58: 577-587.10.1093/biomet/58.3.577
Search in Google Scholar
R Core Team (2013): R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.Rproject. org/.
Search in Google Scholar
Rao C.R. (1948): Large sample tests of statistical hypotheses concerning several parameters with application to problems of estimation. Proccedings of the Cambridge Philosophical Society 44: 50-57.10.1017/S0305004100023987
Search in Google Scholar
Rao C.R. (2005): Score test: historical review and recent developments. Advances in Ranking and Selection, Multiple Comparisons and Reliability. In: Statistics for Industry and Technology, Balakrishnan N., Kannan N., Nagaraja H.N. (eds.): 3-20.10.1007/0-8176-4422-9_1
Search in Google Scholar
Sutradhar B.C., Bartlett R.F. (1993a): Monte Carlo comparison of Wald’s, likelihood Ratio and Rao’s tests. J.Statist. Comput. Simul. 46: 23-33.10.1080/00949659308811490
Search in Google Scholar
Sutradhar B.C., Bartlett R.F. (1993b): A small and large sample comparison of Wald’s, Likelihood Ratio and Rao’s tests for testing linear regression with autocorrelated errors. Sankhya: The Indian Journal of Statistics 55 B: 186-198.
Search in Google Scholar
Wald A. (1943): Tests of statistical hypotheses concerning several parameters when the number of observations is large. Transactions of the American Mathematical Society 54: 426-482.10.1090/S0002-9947-1943-0012401-3
Search in Google Scholar
Yi Y., Wang X. (2011): Comparison of Wald, Score, and Likelihood Ratio Tests for Response Adaptive Designs. J. Statistical Theory and Applications 10(4): 553-569.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.1515/bile-2015-0009 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 95 - 104

Published on: Dec 12, 2015

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

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© 2015 Anita Dobek, Krzysztof Moliński, Ewa Skotarczak, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 52 (2015): Issue 2 (December 2015)