References
- Blyth , C.R. and Still , H.A. 1983 . Binomial confidence intervals . J. Amer. Statist. Assoc , 76 : 108 – 116 .
- Casella , G. 1986 . Refining binomial confidence intervals . Canad. J. Statist , 14 : 113 – 129 .
- Chatfield , C. and Goodhardt , G.J. 1970 . The beta-binomial model for consumer purchasing behavior . Appl. Statist , 19 : 240 – 250 .
- Clopper , C.J. and Pearson , E.S. 1934 . The use of confidence or fiducial limits illustrated in the case of the binomial . Biometrika , 26 : 404 – 413 .
- Cox , D.R. and Hinkley , D. 1974 . Theoretical Statistics , London : Chapman and Hall .
- Crow , E.L. 1956 . Confidence intervals for a proportion . Biometrika , 43 : 423 – 435 .
- Crow , E.L. and Miles , M. 1979 . Approximate confidence intervals for a proportion from Markov dependent trials . Comm. Statist. B , 8 : 25 – 52 .
- Duffy , D.E. and Santner , T.J. 1987 . Confidence intervals for a binomial parameter based on multistage tests . Biometrics , 43 : 81 – 93 .
- Eaton , E.L. 1982 . A review of selected topics in multivariate probability inequalities . Ann. Statist , 10 : 11 – 43 .
- Gladen , B. 1979 . The use of the jackknife to estimate proportions from toxicological data in the presence of litter effects . J. Amer. Statist. Assoc , 74 : 278 – 283 .
- Griffiths , D.A. 1973 . Maximum likelihood estimation for the beta-binomial distribution and an application to the household distribution of the total number of cases of a disease . Biometrics , 29 : 637 – 648 .
- Kupper , L.L. and Haseman , J.K. 1978 . The use of a correlated binomial model for the analysis of certain toxicological experiments . Biometrics , 34 : 69 – 76 .
- Marshall , A.W. and Olkin , I. 1979 . Inequalities: Theory of Majorization and Its Applications , New York : Academic Press .
- Otake , M. and Prentice , R.L. 1984 . The analysis of chromosomally aberrant cells based on beta-binomial distribution . Radiation Research , 98 : 456 – 470 .
- Prentice , R.L. 1986 . Binary regression using an extended beta-binomial distribution, with discussion of correlation induced by covariate measurement errors . J. Amer. Statist. Assoc , 81 : 321 – 327 .
- Santner , T.J. and Snell , M.K. 1980 . Small-sample confidence intervals for P 1–P 2 and P 1/P 2 in 2 × 2 contingency tables . J. Amer. Statist. Assoc , 75 : 386 – 394 .
- Skellam , J.G. 1948 . A probability distribution derived from the binomial distribution by regarding the probability of success as variable between the sets of trials . J. Roy. Statist. Soc. B , 10 : 257 – 261 .
- Southward , G.M. and Van Ryzin , J. . Estimating the mean of a random binomial parameter . Proc. Sixth Berkeley Symp. Math. Statist. Prob . Vol. 4 , pp. 249 – 263 .
- Sterne , T.E. 1954 . Some remarks on confidence or fiducial limits . Biometrika , 41 : 275 – 278 .
- Van Ryzin , J. 1975 . Estimating the mean of a random binomial parameter with trial size random . Sankhyā Ser.B , 37 : 10 – 27 .
- Williams , D.A. 1975 . The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity . Biometrics , 31 : 949 – 952 .
- Wypij D. Estimation methods for grouped binary data. School of Operations Research and Industrial Engineering, Cornell University Ithaca, New York 1987 Ph.D. thesis
- Wypij D. Santner T. J. Algorithms for computing interval estimates of beta-binomial success probabilities 1990 In preparation