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Original Articles

On Power Approximations and Comparison of Several Asymptotic Tests to Detect a Specified Difference between Two Proportions

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Pages 376-390 | Received 31 Jan 2010, Accepted 20 May 2011, Published online: 18 Oct 2011

References

  • Anbar , D. ( 1983 ). On estimating the difference between two probabilities, with special reference to clinical trials . Biometrics 39 ( 1 ): 257 – 262 .
  • Anbar , D. ( 1984 ). Confidence bounds for the difference between two probabilities . Biometrics 40 : 1176 .
  • Andres , A. M. , Tejedor , I. H. ( 2004 ). Asymptotic tests on the equivalence, substantial difference and non inferiority problems with two proportions . Biometrical Journal 46 ( 3 ): 305 – 319 .
  • Agresti , A. , Min , Y. ( 2001 ). On small-sample confidence intervals for parameters in discrete distributions . Biometrics 57 : 963 – 971 .
  • Chan , I. S. F. (1998). Exact tests of equivalence and efficacy with a non-zero lower bound for comparative studies. Statistics in Medicine 17:1403–1413.
  • Chan , I. S. F. ( 2002 ). Power and sample size determination for noninferiority trials using an exact method . Journal of Biopharmaceutical Statistics 12 ( 4 ): 457 – 469 .
  • Chan , I. S. F. ( 2003 ). Proving non inferiority of equivalence of two treatments with dichotomous endpoints using exact methods . Statistical Methods in Medical Research 12 ( 1 ): 37 – 58 .
  • Dunnett , C. W. , Gent , M. ( 1977 ). Significance testing to establish equivalence between treatments with special reference to data in the form of 2 × 2 tables . Biometrics 33 : 593 – 602 .
  • Dunnett , C. W. , Gent , M. ( 1988 ). Reply to Johnson (1988) . Biometrics 44 : 910 .
  • Falk , R. W. , Koch , G. G. ( 1998 ). Testing a specified difference between proportions . Biometrics 54 ( 4 ): 1602 – 1614 .
  • Fleiss , J. F. ( 1981 ). Statistical Methods for Rates, and Proportions. , 2nd ed. New York : John Wiley and Sons .
  • Johnson , R. ( 1988 ). P-values in 2 × 2 tables . Biometrics 44 : 907 – 910 .
  • Mee , R. W. ( 1984 ). Confidence bounds for the difference between two proportions . Biometrics 40 ( 4 ): 1175 – 1176 .
  • Miettinen , O. S. , Nurminen , M. ( 1985 ). Comparative analysis of two rates . Statistics in Medicine 4 : 213 – 226 .
  • Parmet , Y. , Schechtman , E. ( 2007 ). On a test of the difference between two binomial proportions . Communications in Statistics – Theory and Methods 36 : 887 – 895 .
  • Soulakova , J. N. , Roy , A. ( 2011 ). Application of Anbar's approach to hypothesis testing to detect the difference between two proportions . Communications in Statistics – Theory and Methods 40 : 1866 – 1878 .
  • Wang , W. W. B. , Mehrotra , D. V. , Chan , I. S. F. , Heyse , J. F. ( 2006 ). Statistical considerations for noninferiority/equivalence trials in vaccine development . Journal of Biopharmaceutical Statistics 16 : 429 – 441 .

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