Advanced SearchSearch Tips
Constructing Simultaneous Confidence Intervals for the Difference of Proportions from Multivariate Binomial Distributions
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Constructing Simultaneous Confidence Intervals for the Difference of Proportions from Multivariate Binomial Distributions
Jeong, Hyeong-Chul; Kim, Dae-Hak;
  PDF(new window)
In this paper, we consider simultaneous confidence intervals for the difference of proportions between two groups taken from multivariate binomial distributions in a nonparametric way. We briefly discuss the construction of simultaneous confidence intervals using the method of adjusting the p-values in multiple tests. The features of bootstrap simultaneous confidence intervals using non-pooled samples are presented. We also compute confidence intervals from the adjusted p-values of multiple tests in the Westfall (1985) style based on a pooled sample. The average coverage probabilities of the bootstrap simultaneous confidence intervals are compared with those of the Bonferroni simultaneous confidence intervals and the Sidak simultaneous confidence intervals. Finally, we give an example that shows how the proposed bootstrap simultaneous confidence intervals can be utilized through data analysis.
Multivariate binomial distribution;simultaneous confidence intervals;bootstrap;multiple test;pooled sample;
 Cited by
부트스트랩을 이용한 소나무의 목재기본밀도 추정 및 평가,표정기;손영모;김영환;김래현;이경학;이영진;

한국산림과학회지, 2011. vol.100. 3, pp.392-396
Beal, S. L. (1987). Asymptotic confidence intervals for the difference between two binomial parameters for use with small samples, Biometrics, 43, 941-950 crossref(new window)

Brown, C C and Fears, T. R. (1981). Exact significance levels for multiple binomial testing with application to carcinogenicity screens, Biometrics, 37, 763-774 crossref(new window)

Freedman, D. A. (1984). On bootstrapping two-stage least-squares estimates in stationary linear models, The Annals of Statistics, 12, 827-842 crossref(new window)

Holland, B. S. and Copenhaver, M. D. (1987). An improved sequentially rejective bonferroni test procedure, Biometrics, 43, 417-424 crossref(new window)

Jeong, H. C, Jhun, M. and Lee, J. W. (2007). Estimating the simultaneous confidence levels for the difference of proportions from multivariate binomial distributions, Journal of the Korean Statistical Society, 36, 397-410

Jhun, M. and Jeong, H. C (2000). Applications of bootstrap methods for categorical data analysis, Computational Statistics & Data Analysis, 35, 83-91 crossref(new window)

Jhun, M., Jeong, H. C. and Bahng, J. S. (2007). Simultaneous confidence intervals for the mean of multivariate Poisson distribution: A comparison, Communications in Statistics-Simulation and Computation, 36, 151-164 crossref(new window)

Park, C. G., Park, T. P. and Shin, D. W. (1996). A simple method for generating correlated Binary varites, American Statistician, 50, 306-310 crossref(new window)

Singh, K. (1981). On the asymptotic accuracy of Efron's bootstrap, The Annals of Statistics, 9, 1187-1195 crossref(new window)

Thombs, L. A. and Schucany, W. R. (1990). Bootstrap prediction intervals for autoregression, Journal of the American Statistical Association, 85, 486-492 crossref(new window)

Westfall, P. H. and Young, S. S. (1989). P-value adjustments for multiple tests in multivariate binomial models, Journal of the American Statistical Association, 84, 780-786 crossref(new window)

Westfall P. H. (1985). Simultaneous small-sample multivariate bernoulli confidence intervals, Biometrics, 41, 1001-1013 crossref(new window)

Westfall, P. H. and Young, S. S. (1993). Resampling-Based Multiple Testing: Examples and Methods for p- Value Adjustment, John Wiley & Sons, New York

Wood roofe, M. and Jhun, M. (1988). Singh's theorem in the lattice case, Statistics & Probability Letters, 7, 201-205 crossref(new window)