The Beta-Binomial model: Accounting for inter-trial variation in replicated difference and preference tests

Journal of Sensory Studies

Volumn 13, Issue 4, 1998, Pages 389-412

  Ennis, Daniel M ^a   Bi, Jian ^b  

^a Institute for Perception   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032286392     PISSN: 08878250     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-459X.1998.tb00097.x     Document Type: Article

References (31)

1. AESCHBACHER, H.U., MILON, H. and WURZNER, H.P. 1978. Caffeine concentrations in mice plasma and testicular tissue and the effect of caffeine on the dominant lethal test. Mutation Research 57, 193-200.
2. AESCHBACHER, H.U., VUATAZ, L., SOTEK, J. and STALDER, R. 1977. Use of the Beta-Binomial distribution in dominant-lethal testing for "week mutagenic activity". Part 1. Mutation Res. 44, 369-390.
3. ALTHAM, P.M.E. 1978. Two generalizations of the Binomial distribution. Applied Statist. 27, 162-167.
4. ANDERSON, D.A. 1988. Some models for overdispersed Binomial data. Austral. J. Statist. 30, 125-148.
5. CHATFIELD, C. and GOODHARDT, G.J. 1970. The Beta-Binomial model for consumer purchasing behavior. Applied Statis. 19, 240-250.
6. COX, D.R. 1983. Some remarks on overdispersion. Biometrika 70, 269-274.
7. CROWDER, M.J. 1978. Beta-Binomial ANOVA for proportions. Applied Statis. 27, 34-37.
8. GANGE, S.J., MUNOZ, A., SAEZ, M. and ALONSO, J. 1996. Use of the Beta-Binomial distribution to model the effect of policy change on appropriateness of hospital stays. Applied Statis. 45, 371-382.
9. GRIFFITHS, D.A. 1973. Maximum likelihood estimation forthe Beta-Binomial distribution and an application to the household distribution of the total number of cases of a disease. Biometrics 29, 637-648.
10. HASEMAN, J.K. and KUPPER, L.L. 1979. Analysis of dichotomous response data from certain toxicological experiments. Biometrics 35, 281-293.
11. JOHNSON, N.L. and KOTZ, S. 1969. Discrete Distributions, John Wiley & Sons, New York.
12. JOHNSON, N.L. and KOTZ, S. 1970. Distribution in statistics: Continuous univariate distribution-2. John Wiley & Sons, New York.
13. KLEINMAN, J.C. 1973. Proportions with extraneous variance: single and independent samples. J. Am. Statistical Assoc. 68, 46-54.
14. ISHII, G. and HAYAKAWA, R. 1960. On the compound Binomial distribution. Annals of the Institute of Statistical Mathematics, Tokyo, 12, 69-80.
15. LIANG, K.Y. and McCULLAGH, P. 1993. Case studies in binary dispersion. Biometrics 49, 623-630.
16. METZ, C.E. and KRONMAN, H.B. 1980. Statistical significant tests for binormal ROC curves. J. Mathematical Psychol. 22, 218-243.
17. MOORE, D.F. 1987. Modeling the extraneous variance in the presence of extra-Binomial variation. Applied Statis. 36, 8-14.
18. MORAN, P.A.P. 1968. An Introduction to Probability Theory. Oxford University Press.
19. MORRISON, D.G. 1978. A probability model for forced binary choices. The American Statistician 32, (1), 23-25.
20. OTAKE, M. and PRENTICE, R.L. 1984. The analysis of chromosomally aberrant cells based on Beta-Binomial distribution. Radiation Res. 98, 456-470.
21. PACK, S.E. 1986. Hypothesis testing for proportions with overdispersion. Biometrics 42, 967-972.
22. PAUL, S.R. 1982. Analysis of proportions of affected foetuses in teratological experiments. Biometrics 38, 361-370.
23. PAUL, S.R., LIANG, K.Y. and SELF, S.G. 1989. On testing departure from the Binomial and multinomial assumptions. Biometrics 45, 231-236.
24. PRENTICE, R.L. 1986. Binary regression using an extended Beta-Binomial distribution, with discussion of correlation induced by covariate measurement errors. J. Am. Statistical Assoc. 81, 321-327.
25. ROSS, G.J.S. 1970. The efficient use of function minimisation in non-linear maximum-likelihood estimation. Applied Statis. 19, 205-221.
26. 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. Royal Statistical Soc. Series B, 10, 257-261.
27. SMITH, D.M. 1983. Maximum likelihood estimation of the parameters of the Beta Binomial distribution. Applied Statis. 32, 196-204.
28. TARONE, R.E. 1979. Testing the goodness of fit of the Binomial distribution. Biometrika 66, 585-590.
29. VUATAZ, L. and SOTEK, J. 1978. Use of the Beta-Binomial distribution in dominant-lethal testing for "week mutagenic activity". Part 2. Mutation Res. 52, 211-230.
30. WILLAMS, D.A. 1975. The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity. Biometrics 31, 949-952.
31. WYPIJ, D. and SANTER, T.J. 1990. Interval estimation of the marginal probability of success for the Beta-Binomial distribution. J. Statist. Comput. Stimul. 35, 169-185.