Sample size determination based on Fisher's Exact Test for use in 2 x 2 comparative trials with low event rates.

A collection of sample size tables are presented for designing comparative trials when the event rates p1 and p2 are low. The tables are based on exact power calculations for Fisher's Exact Test. Both one-sided and two-sided alternative hypotheses are considered. A comparison is made between these sample sizes and those obtained by using popular asymptotic approximations.

[1]  Jacob Cohen Statistical Power Analysis for the Behavioral Sciences , 1969, The SAGE Encyclopedia of Research Design.

[2]  E. Veys,et al.  HL-A AND INFECTIVE SACROILEITIS , 1974 .

[3]  J J Gart,et al.  The determination of sample sizes for use with the exact conditional test in 2 x 2 comparative trials. , 1973, Biometrics.

[4]  Joseph Berkson,et al.  In dispraise of the exact test: Do the marginal totals of the 2X2 table contain relevant information respecting the table proportions? , 1978 .

[5]  M. Conlon,et al.  An algorithm for the rapid evaluation of the power function for fisher's exact test , 1992 .

[6]  J. Haseman,et al.  Exact Sample Sizes for Use with the Fisher-Irwin Test for 2 x 2 Tables , 1978 .

[7]  G. W. Snedecor Statistical Methods , 1964 .

[8]  Val J. Gebski,et al.  Sample Sizes for Comparing Two Independent Proportions Using the Continuity‐Corrected Arc Sine Transformation , 1986 .

[9]  B. Everitt,et al.  Statistical methods for rates and proportions , 1973 .

[10]  M. C. Pike,et al.  Algorithm AS 129: The Power Function of the "Exact" Test for Comparing Two Binomial Distributions , 1978 .

[11]  R. Fisher,et al.  The Logic of Inductive Inference , 1935 .

[12]  P Feigl,et al.  A graphical aid for determining sample size when comparing two independent proportions. , 1978, Biometrics.

[13]  D. E. Walters In Defence of the Arc Sine Approximation , 1979 .

[14]  D. Hosmer,et al.  A comparison of sample size determination methods in the two group trial where the underlying disease is rare , 1981 .

[15]  Samy Suissa,et al.  Exact Unconditional Sample Sizes for the 2 Times 2 Binomial Trial , 1985 .

[16]  M. Pike,et al.  An improved approximate formula for calculating sample sizes for comparing two binomial distributions. , 1978, Biometrics.

[17]  William G. Cochran,et al.  Experimental Designs, 2nd Edition , 1950 .