An interval estimate for the intraclass correlation in beta-binomial sampling

Biometrics

Volumn 52, Issue 2, 1996, Pages 412-425

  Lui, Kung Jong ^a   Cumberland, William G ^b   Kuo, Lynn ^c  

^a SAN DIEGO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Beta binomial; Intraclass correlation; Stabilized moment estimator; Stratified sampling

Indexed keywords

INTELLIGENT SYSTEMS; MAXIMUM LIKELIHOOD ESTIMATION;

BETA-BINOMIAL; BETA-BINOMIAL DISTRIBUTIONS; CLUSTER SAMPLING; INTERVAL ESTIMATE; INTERVAL ESTIMATION; INTRACLASS CORRELATIONS; MOMENT ESTIMATOR; NUMBER OF CLUSTERS; STABILIZED MOMENT ESTIMATOR; STRATIFIED SAMPLING;

MONTE CARLO METHODS;

ARTICLE; CLUSTER ANALYSIS; DATA ANALYSIS; MODEL; PROBABILITY; STATISTICAL ANALYSIS; SYSTEM ANALYSIS;

EID: 0029977709     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2532883     Document Type: Article

References (23)

1. Chatfield, C. and Goodhardt, G. J. (1970). The beta-binomial model for consumer purchasing behaviour. Applied Statistics 19, 240-250.
2. Crowder, M. (1979). Inference about the intraclass correlation coefficient in the beta-binomial ANOVA for proportions. Journal of Royal Statistical Society B 41, 230-234.
3. Donner A. (1986). A review of inference procedures for the intraclass correlation coefficient in the one-way random effects model. International Statistical Review 54, 67-82.
4. Efron, B. and Tibshirani, R. J. (1993). An Introduction to the Bootstrap. New York: Chapman and Hall.
5. Elston, R. C. (1977). Response to query: Estimating "heritability" of a dichotomous trait. Biometrics 33, 232-233.
6. Fleiss, J. L. (1986). The Design and Analysis of Clinical Experiments. New York: Wiley.
7. Fleiss, J. L. and Cuzick, J. (1979). The reliability of dichotomous judgments: Unequal numbers of judges per subject. Applied Psychological Measurement 3, 537-542.
8. Jorgensen, B. (1987). Exponential dispersion models. Journal of the Royal Statistical Society, Series B 49, 127-162.
9. Krewski, D., Smythe, R. T., and Burnett, R. T. (1985). The use of historical control information in testing for trend in quantal response carcinogenicity data. In Proceedings of the Symposium on Long Term Animal Carcinogenicity Studies: A Statistical Perspective, 55-62. Washington, D.C.: American Statistical Association.
10. Kupper, L. L., Portier, C., Hogan, M. D., and Yamamoto, E. (1986). The impact of litter effects on dose-response modeling in teratology. Biometrics 42, 85-98.
11. Levin, B. and Reeds, J. (1977). Compound multinominal likelihood functions are unimodal: Proof of a conjecture of I. J. Good. Annals of Statistics 5, 79-87.
12. Lui, K.-J. (1991). Sample size for repeated measurements in dichotomous data. Statistics in Medicine 10, 463-472.
13. Lui, K.-J. (1992). A note on the effect of the intraclass correlation in the multiple reading procedure with a unanimity rule. Statistics in Medicine 11, 209-218.
14. Lui, K.-J. (1994a). The performance of the O'Brien-Fleming multiple testing procedure in the presence of intraclass correlation. Biometrics 50, 232-236.
15. Lui, K.-J. (1994b). The effect of retaining probability variation on sample size calculations for normal variates. Biometrics 50, 297-300.
16. Mak, T. K. (1988). Analysing intraclass correlation for dichotomous variables. Applied Statistics 37, 344-352.
17. Moore, D. F. (1987). Modelling the extraneous variance in the presence of extra-binomial variation. Applied Statistics 36, 8-14.
18. Randles, R. H. and Wolfe, D. A. (1979). Introduction to the Theory of Nonparametric Statistics. New York: Wiley.
19. SAS. (1982). SAS User's Guide: Basics. Cary, North Carolina: SAS Institute, Inc., 180-182.
20. Tamura, R. N. and Young, S. S. (1987). A stabilized moment estimator for the beta-binomial distribution. Biometrics 43, 813-824.
21. Williams, D. A. (1975). The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity. Biometrics 31, 949-952.
22. Williams, D. A. (1988). Estimation bias using the beta-binomial distribution in teratology. Biometrics 44, 305-309.
23. Yamamoto, E. and Yanagimoto, T. (1992). Moment estimators for the beta-binomial distribution. Journal of Applied Statistics 19, 273-283.