Pearson's X 2 and the Loglikelihood Ratio Statistic G 2 : A Comparative Review
作者： Noel Cressie , Timothy R. C. Read
DOI: 10.2307/1403582
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摘要: The importance of developing useful and appropriate statistical methods for analyzing discrete multivariate data is apparent from the enormous amount of attention this subject has …
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T. LEWIS, I. W. SAUNDERS, M. WESTCOTT, The moments of the Pearson chi-squared statistic and the minimum expected value in two-way tables Biometrika. ,vol. 71, pp. 515- 522 ,(1984) , 10.1093/BIOMET/71.3.515
S. Kh. Tumanyan, Asymptotic Distribution of The $\chi ^2 $ Criterion when the Number of Observations and Number of Groups Increase Simultaneously Theory of Probability & Its Applications. ,vol. 1, pp. 117- 131 ,(1956) , 10.1137/1101010
Judith-Anne W. Chapman, A Comparison of the X 2, −2 Log R, and Multinomial Probability Criteria for Significance Tests When Expected Frequencies are Small Journal of the American Statistical Association. ,vol. 71, pp. 854- 863 ,(1976) , 10.1080/01621459.1976.10480959
J.C.W. Rayner, D.J. Best, K.G. Dodds, The construction of the simple X2 and Neyman smooth goodness of fit tests Statistica Neerlandica. ,vol. 39, pp. 35- 50 ,(1985) , 10.1111/J.1467-9574.1985.TB01123.X
Jeffrey S. Simonoff, An Improved Goodness-of-Fit Statistic for Sparse Multinomials Journal of the American Statistical Association. ,vol. 80, pp. 671- 677 ,(1985) , 10.1080/01621459.1985.10478167
K.C. Rao, B.S. Robson, A chi-squabe statistic for goodies-of-fit tests within the exponential family Communications in Statistics-theory and Methods. ,vol. 3, pp. 1139- 1153 ,(1974) , 10.1080/03610927408827216
Robert Radlow, Edward F. Alf, An Alternate Multinomial Assessment of the Accuracy of the χ2 Test of Goodness of Fit Journal of the American Statistical Association. ,vol. 70, pp. 811- 813 ,(1975) , 10.1080/01621459.1975.10480306
G. S. Watson, Some Recent Results in Chi-Square Goodness-of-Fit Tests Biometrics. ,vol. 15, pp. 440- ,(1959) , 10.2307/2527749
Tadeusz Bednarski, Application and Optimality of the Chi-Square Test of Fit for Testing ε-Validity of Parametric Models Statistics. ,vol. 12, pp. 38- 46 ,(1981) , 10.1007/978-1-4615-7397-5_3
Abraham Wald, Tests of statistical hypotheses concerning several parameters when the number of observations is large Transactions of the American Mathematical Society. ,vol. 54, pp. 426- 482 ,(1943) , 10.1090/S0002-9947-1943-0012401-3