JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Bayesian Hypothesis Testing for Intraclass Correlation Coefficient
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Bayesian Hypothesis Testing for Intraclass Correlation Coefficient
Lee, Seung-A; Kim, Dal-Ho;
  PDF(new window)
 Abstract
In this paper, we consider a Bayesian model selection for the intraclass correlation coefficient in familiar data. In particular, we compare two nested models such as the independence and intraclass models using the reference prior. A criterion for testing is the Bayesian Reference Criterion by Bernardo (1999) and the Intrinsic Bayes Factor by Berger and Pericchi (1996). We provide numerical examples using simulation data sets for illustration.
 Keywords
Intraclass correlation coefficient;Bayesian reference criterion;intrinsic Bayes factor;
 Language
English
 Cited by
 References
1.
Berger, J.O. and Bernardo, J.M. (1989). Estimating a Product of Means: Bayesian Analysis with Reference Priors. Joumal of the American Statistical Association, Vol. 84, 200-207 crossref(new window)

2.
Berger, J.O. and Bernardo, J.M. (1992). On the Development of Reference Priors. Bayesian Statistics 4 (J.M. Bernardo, J.O. Berger, A.P. Dawid and A.F.M. Smith, eds.), Oxford; University Press, 35-60 (with discussion)

3.
Berger, J.O. and Pericchi, L.R. (1996). The Intrinsic Bayes Factor for Model Selection and Prediction. Joumal of the American Statistical Association, Vol. 91, 109-122 crossref(new window)

4.
Bernardo, J.M. (1979). Reference Posterior Distributions for Bayesian Inference. Joumal of the Royal Statistical Society B, Vol. 41, 113-147 (with discussion). Reprinted in Bayesian Inference (N.G. Polson and G.C. Tiao, eds.), Brookfield, VT: Edward Elgar, (1995), 229-263

5.
Bernardo, J.M. (1999). Nested Hypothesis Testing : The Bayesian Reference Criterion. Bayesian Statistics 6 (J.M. Bernardo, J.O. Berger, AP. Dawid and A.F.M. Smith, eds.). Oxford: University Press, 101-130 (with discussion)

6.
Donner, A. and Bull, S. (1983). Inference Concerning a Common Intraclass Correlation Coefficient. Biometrics, Vol. 39, 771-775 crossref(new window)

7.
Gokhale, D.V. and SenGupta, A. (1986). Optimal Tests for the Correlation Coefficient in a Symmetric Multivariate Normal Population. Journal of Statistical Planning and Inference, Vol. 14, 263-268 crossref(new window)

8.
Huang, W. and Sinha, B.K. (1993). On Optimum Invariant Tests of Equality of Intraclass Correlation Coefficients. Annals of the Institute of Statistical Mathematics, Vol. 45, 579-597 crossref(new window)

9.
Kim, D.H., Kang, S.K. and Lee, W.D. (2001). Noninformative Priors for Intraclass Correlation Coefficient in Familial Data. Far East Journal of Theoretical Statistics, Vol. 5, 45-60

10.
Konishi, S. (1985). Normalizing and Variance Stabilizing Transformations for Intraclass Correlations. Annals of the Institute of Statistical Mathematics, Vol. 37, 87-94 crossref(new window)

11.
Konishi, S. and Gupta, A.K. (1989). Testing the Equality of Several Intraclass Correlation Coefficients. Journal of Statistical Planning and Inference, Vol. 21, 93-105 crossref(new window)

12.
Rao, C.R. (1973). Linear Statistical Inference and Its Applications, Wiley, New York

13.
Rosner, B., Donner, A. and Hennekens, G.H. (1977). Estimation of Interclass Correlation from Familial Data. Applied Statistics, Vol. 26, 179-187 crossref(new window)

14.
Rosner, B., Donner, A. and Hennekens, G.H. (1979). Significance testing of Interclass Correlations from Familial Data. Biometrics, Vol. 35, 461-471 crossref(new window)

15.
Scheffe, H. (1959). The Analysis of Variance. Wiley, New York

16.
Srivastava, M.S. (1984). Estimation of Interclass Correlations in Familial Data. Biometrika, Vol. 71, 177-185 crossref(new window)

17.
Velu, R. and Rao, M.B. (1990). Estimation of parent-offspring Correlation. Biometrika, Vol. 77, 557-562 crossref(new window)

18.
Young, D.J. and Bhandary, M. (1998). Test for Equality of Intraclass Correlation Coefficients under Unequal Family Sizes. Biometrics, Vol. 54, 1363-1373 crossref(new window)