论文信息 - On Approximate and Exact Sample Sizes of Equivalence Tests for Binomial Proportions

On Approximate and Exact Sample Sizes of Equivalence Tests for Binomial Proportions

There exist several formulae for sample sizes for testing the equivalence of binomial proportions which are based on approximations by the normal distribution. Quite often these formulae produce drastically different results. In this paper the validity of the approximate sample sizes is investigated with respect to the exact distributions.

H. Frick

[1] C. Farrington,et al. Test statistics and sample size formulae for comparative binomial trials with null hypothesis of non-zero risk difference or non-unity relative risk. , 1990, Statistics in medicine.

[2] C. Comnougue,et al. How to establish equivalence between treatments: a one-sided clinical trial in paediatric oncology. , 1989, Statistics in medicine.

[3] L. Edler,et al. A sample size program for "proving the null hypothesis". , 1987, Controlled clinical trials.

[4] W. Hauck,et al. A comparison of large-sample confidence interval methods for the difference of two binomial probabilities , 1986 .

[5] M Nurminen,et al. Comparative analysis of two rates. , 1985, Statistics in medicine.

[6] W. Blackwelder,et al. Sample size graphs for "proving the null hypothesis". , 1984, Controlled clinical trials.

[7] J. Lachin. Introduction to sample size determination and power analysis for clinical trials. , 1981, Controlled clinical trials.

[8] W C Blackwelder,et al. "Proving the null hypothesis" in clinical trials. , 1981, Controlled clinical trials.

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

[10] R. Makuch,et al. Sample size requirements for evaluating a conservative therapy. , 1978, Cancer treatment reports.

[11] Michael J. Campbell,et al. Statistical tables for the design of clinical trials , 1987 .