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

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

Open Access
|Dec 2015

References

  1. 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.
  2. Fox J. (1997): Applied regression analysis, linear models, and related methods. Thousand Oaks, CA, US: Sage Publications, Inc.
  3. 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
  4. 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
  5. Neyman J., Pearson E.S. (1928): On the use and interpretation of certain test criteria. Biometrika 20A: 175-240.
  6. Peers H.W. (1971): Likelihood ratio and associated test criteria. Biometrika 58: 577-587.10.1093/biomet/58.3.577
  7. R Core Team (2013): R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.Rproject. org/.
  8. 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
  9. 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
  10. 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
  11. 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.
  12. 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
  13. 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.
DOI: https://doi.org/10.1515/bile-2015-0009 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811
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

© 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.