摘要: A modified exact test is proposed for 2×2 contingency tables. This test, which based on a less conservative definition of the concept significance (STONE, 1969) compared with form Pearson's X2 and Tocher's randomized (UMPU) test. The sizes new lie near nominal 0.05 levels while those usually exceed level, sometimes by factor 2 or more. power close to that UMPU
sci-hub.se 参考文章(7)
Joseph Berkson, In dispraise of the exact test: Do the marginal totals of the 2X2 table contain relevant information respecting the table proportions? Journal of Statistical Planning and Inference. ,vol. 2, pp. 27- 42 ,(1978) , 10.1016/0378-3758(78)90019-8
K. D. TOCHER, Extension of the Neyman-Pearson theory of tests to discontinuous variates. Biometrika. ,vol. 37, pp. 130- 144 ,(1950) , 10.1093/BIOMET/37.1-2.130
H. O. Lancaster, Significance Tests in Discrete Distributions Journal of the American Statistical Association. ,vol. 56, pp. 223- 234 ,(1961) , 10.1080/01621459.1961.10482105
Erich Leo Lehmann, Testing statistical hypotheses ,(1959)
M. STONE, The role of significance testing: some data with a message Biometrika. ,vol. 56, pp. 485- 493 ,(1969) , 10.1093/BIOMET/56.3.485
Howard M. Rhoades, John E. Overall, A sample size correction for Pearson chi-square in 2 × 2 contingency tables. Psychological Bulletin. ,vol. 91, pp. 418- 423 ,(1982) , 10.1037/0033-2909.91.2.418
Graham J. G. Upton, A Comparison of Alternative Tests for the 2 Times 2 Comparative Trial Journal of the Royal Statistical Society. Series A (General). ,vol. 145, pp. 86- 105 ,(1982) , 10.2307/2981423