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CONTINGENCY TABLES

Improved P-Values for Testing Marginal Homogeneity in 2 × 2 Contingency Tables

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Pages 1649-1663 | Received 29 Jun 2008, Accepted 09 Dec 2008, Published online: 24 Apr 2009

References

  • Agresti , A. ( 1992 ). A survey of exact inference for contingency tables (with discussion) . Statist. Sci. 7 : 131 – 177 .
  • Barnard , G. A. ( 1947 ). Significance tests for 2 × 2 tables . Biometrika 34 : 123 – 138 .
  • Barnard , G. A. ( 1989 ). On alleged gains in power from lower p-values . Statist. Med. 8 : 1469 – 1477 .
  • Barnard , G. A. ( 1990 ). Must clinical trials be large? The interpretation of P-values and the combination of test results . Statist. Med. 9 : 601 – 614 .
  • Berger , R. L. , Boos , D. D. ( 1994 ). P-values maximized over a confidence set for the nuisance parameter . J. Amer. Statist. Assoc. 89 : 1012 – 1016 .
  • Berger , R. L. , Sidik , K. ( 2003 ). Exact unconditional tests for a 2 × 2 matched-pairs design . Statist. Meth. Med. Res. 12 : 91 – 108 .
  • Bickel , P. J. , Doksum , K. A. ( 1977 ). Mathematical Statistics: Basic Ideas and Selected Topics . San Francisco : Holden-Day .
  • Boschloo , R. D. ( 1970 ). Raised conditional level of significance for the 2 × 2 table when testing the equality of two probabilities . Statistica Neerlandica 24 : 1 – 35 .
  • Casella , G. , Berger , R. L. ( 2002 ). Statistical Inference. , 2nd ed. Pacific Grove, CA : Duxbury Press .
  • Chen , L.-S. , Yang , M.-C. ( 2006 ). Optimality of the mid p-value for testing marginal homogeneity in binary match-pairs data . J. Chin. Statist. Assoc. 44 : 33 – 50 .
  • Clopper , C. J. , Pearson , E. S. ( 1934 ). The use of confidence or fiducial limits illustrated in the case of the binomial . Biometrika 26 : 404 – 413 .
  • Hirji , K. F. , Tan , S. J. , Elashoff , R. M. ( 1991 ). A quasi-exact test for comparing two binomial proportions . Statist. Med. 10 : 1137 – 1153 .
  • Hwang , J. T. , Pemantle , R. ( 1997 ). Estimating the truth indicator function of a statistical hypothesis under a class of proper loss functions . Statist. Decis. 15 : 103 – 128 .
  • Hwang , J. T. , Wells , M. ( 1999 ). Optimality results for mid p-values . Cornell Statistics Center Technical Report .
  • Hwang , J. T. , Yang , M.-C. ( 2001 ). An optimality theory for mid p-values in 2 × 2 contingency tables . Statistica Sinica 11 : 807 – 826 .
  • Hwang , J. T. , Casella , G. , Robert , C. , Wells , M. , Farrell , R. ( 1992 ). Estimation of accuracy of testing . Ann. Statist. 20 : 490 – 509 .
  • Lancaster , H. O. ( 1961 ). Significance tests in discrete distributions . J. Amer. Statist. Assoc. 56 : 223 – 234 .
  • Lehmann , E. L. ( 1997 ). Testing Statistical Hypotheses. , 2nd ed. New York : Springer .
  • Lin , C.-Y. , Yang , M.-C. ( 2009 ). Improved p-value tests for comparing two independent binomial proportions . Commun. Statist. Simul. Computat. 38 : 78 – 91 .
  • McNemar , Q. ( 1947 ). Note on the sampling error of the differences between correlated proportions or percentages . Psychometrika 12 : 153 – 157 .
  • Röhmel , J. , Mansmann , U. ( 1999 ). Unconditional non-asymptotic one-sided tests for independent binomial proportions when the interest lies in showing non-inferiority and/or superiority . Biometr. J. 41 : 149 – 170 .
  • Suissa , S. , Shuster , J. J. ( 1991 ). The 2 × 2 matched-pairs trial: Exact unconditional design and analysis . Biometrics 47 : 361 – 372 .
  • Upton , G. J. G. ( 1992 ). Fisher's exact test . J. Roy. Statist. Soc. Ser. A 155 : 395 – 402 .
  • Yang , M.-C. , Lee , D.-W. , Hwang , J. T. ( 2004 ). The equivalence of the mid p-value and the expected p-value for testing equality of two balanced binomial proportions . J. Statist. Plann. Infer. 126 : 273 – 280 .
  • Yates , F. ( 1984 ). Test of significance for 2 × 2 contingency tables . J. Roy. Statist. Soc. Ser. A 147 : 426 – 463 .

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