Exact Power of Conditional and Unconditional Tests: Going beyond the 2 × 2 Contingency Table

References

• Barnard , G. A. 1945a . “A New Test for 2 × 2 Tables” . Nature , 156 : 177
   Web of Science ®Google Scholar
• Barnard , G. A. 1945b . “A New Test for 2 × 2 Tables” . Nature , 156 : 783
   Web of Science ®Google Scholar
• Barnard , G. A. 1949 . “Statistical Inference” . Journal of the Royal Statistical Society , 11 : 115 – 139 . Ser. B
   Google Scholar
• Barnard , G. A. 1989 . “On Alleged Gains in Power From Lower P-Values” . Statistics in Medicine , 8 : 1469 – 1477 .
   PubMed Web of Science ®Google Scholar
• Berkson , J. 1978 . “In Dispraise of the Exact Test: Do Marginal Totals of the 2 × 2 Table Contain Relevant Information Respecting the Table Proportions? . Journal of Statistical Planning and Inference , 2 : 27 – 42 .
   Web of Science ®Google Scholar
• Cox , D. R. 1984 . “Discussion of ‘Tests of Significance for 2 × 2 Tables'” . Journal of the Royal Statistical Society , 147 : 451 Ser. A
   Google Scholar
• D'Agostino , R. B. , Chase , W. and Belanger , A. 1988 . “The Appropriateness of Some Common Procedures for Testing the Equality of Two Independent Binomial Proportions” . The American Statistician , 42 : 198 – 202 .
   Web of Science ®Google Scholar
• Fisher , R. A. 1973 . Statistical Methods and Scientific Inference , New York : Hafner Press .
   Google Scholar
• Kempthorne , O. 1979 . “In Dispraise of the Exact Test: Reactions” . Journal of Statistical Planning and Inference , 3 : 199 – 213 .
   Web of Science ®Google Scholar
• Lancaster , H. O. 1961 . “Significance Tests in Discrete Distributions” . Journal of the American Statistical Association , 56 : 223 – 234 .
   Web of Science ®Google Scholar
• Lehmann , E. L. 1975 . Nonparametrics: Statistical Methods Based on Ranks , San Francisco : Holden-Day .
   Google Scholar
• Little , R. J. A. 1989 . “Testing the Equality of Two Independent Binomial Proportions” . The American Statistician , 43 : 283 – 288 .
   Web of Science ®Google Scholar
• Little , R. J. A. “Discussion of ‘Exact Conditional Versus Unconditional Inference'” . Proceedings of the 1990 Joint Statistical Meetings . Anaheim , CA .
   Google Scholar
• Mehta , C. R. and Patel , N. R. 1983 . “A Network Algorithm for Performing Fisher's Exact Test in r × c Contingency Tables” . Journal of the American Statistical Association , 78 : 427 – 434 .
   Web of Science ®Google Scholar
• Mehta , C. R. , Patel , N. R. and Tsiatis , A. A. 1984 . “Exact Significance Testing to Establish Treatment Equivalence With Ordered Categorical Data” . Biometrics , 40 : 819 – 825 .
   PubMed Web of Science ®Google Scholar
• Mehta , C. R. , Patel , N. R. and Wei , L. J. 1988 . “Constructing Exact Significance Tests With Restricted Randomization Rules” . Biometrika , 75 : 295 – 302 .
   Web of Science ®Google Scholar
• Patel , N. R. and Jajoo , B. H. 1990 . “An Algorithm for Unconstrained Global Optimization” , Ahmedabad , , India : Indian Institute of Management . Technical Report
   Google Scholar
• StatXact . 1989 . A Statistical Package for Exact Nonparametric Inference , Cambridge , MA : Cytel Software Corporation, 137 Erie Street .
   Google Scholar
• Suissa , S. and Shuster , J. J. 1985 . “Exact Unconditional Sample Sizes for the 2 × 2 Binomial Trial” . Journal of the Royal Statistical Society , 148 : 317 – 327 . Ser. A
   Google Scholar
• Tocher , K. D. 1950 . “Extension of the Neyman-Pearson Theory of Tests to Discontinuous Variates” . Biometrika , 37 : 130 – 144 .
   PubMed Web of Science ®Google Scholar
• Upton , G. J. G. 1982 . “A Comparison of Alternative Tests for the 2 × 2 Comparative Trial” . Journal of the Royal Statistical Society , 145 : 86 – 105 . Ser. A
   Google Scholar
• Upton , G. J. G. 1992 . “Fisher's Exact Test” . Journal of the Royal Statistical Society , 155 : 395 – 402 . Ser. A
   Google Scholar
• Yates , F. 1984 . “Tests of Significance for 2 × 2 Tables” . Journal of the Royal Statistical Society , 147 : 426 – 463 . Ser. A
   Google Scholar