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

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)00345-1Search 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_33Search 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/58.3.577Search 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/S0305004100023987Search 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_1Search 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: 23-33.10.1080/00949659308811490Search 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/S0002-9947-1943-0012401-3Search 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