Advanced SearchSearch Tips
Case Deletion Diagnostics for Intraclass Correlation Model
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Case Deletion Diagnostics for Intraclass Correlation Model
Kim, Myung Geun;
  PDF(new window)
The intraclass correlation model has a long history of applications in several fields of research. Case deletion diagnostic methods for the intraclass correlation model are proposed. Based on the likelihood equations, we derive a formula for a case deletion diagnostic method which enables us to investigate the influence of observations on the maximum likelihood estimates of the model parameters. Using the Taylor series expansion we develop an approximation to the likelihood distance. Numerical examples are provided for illustration.
Case deletions;intraclass correlation;likelihood distance;Taylor series expansion;
 Cited by
Bhargava, R. P. and Srivastava, M. S. (1973). On Tukey's confidence intervals for the contrasts in the means of the intraclass correlation model, Journal of the Royal Statistical Society, Series B, 35, 147-152.

Bradley, R. A. and Schumann, D. E. W. (1957). The comparison of the sensitivities of similar experiments: Applications, Biometrics, 13, 496-510. crossref(new window)

Chatterjee, S. and Hadi, A. S. (1988). Sensitivity Analysis in Linear Regression, Wiley, New York.

Cook, R. D. andWeisberg, S. (1982). Residuals and Influence in Regression, Chapman and Hall, New York.

Donner, A. (1986). A review of inference procedures for the intraclass correlation coefficient on the one-way random effects model, International Statistical Review, 54, 67-82. crossref(new window)

Donner, A. and Koval, J. J. (1980). The large sample variance of an intraclass correlation, Biometrika, 67, 719-722. crossref(new window)

Ebel, R. L. (1951). Estimation of the reliability of ratings, Psychometrika, 16, 407-424. crossref(new window)

Fisher, R. A. (1921). On the probable error of a coefficient of correlation deduced from a small sample, Metron, 1, 1-32.

Giraudeau, B., Mallet, A. and Chastang, C. (1996). Case influence on the intraclass correlation coefficient estimate, Biometrics, 52, 1492-1497. crossref(new window)

Johnson, A. J. andWichern, D.W. (1992). Applied Multivariate Statistical Analysis, 3rd ed., Prentice-Hall.

Kim, M. G. (2000). Multivariate outliers and decompositions of Mahalanobis distance, Communications in Statistics: Theory and Methods, 29, 1511-1526. crossref(new window)

Krishnaiah, P. R. and Pathak, P. K. (1967). Tests for the equality of covariance matrices under the intraclass correlation model, The Annals of Mathematical Statistics, 38, 1286-1288. crossref(new window)

Mardia, K. V., Kent, J. T. and Bibby, J. M. (1979). Multivariate Analysis, Academic Press.

Morrison, D. F. (1990). Multivariate Statistical Methods, 3rd ed., McGraw-Hill.

Olkin, I. and Pratt, J. W. (1958). Unbiased estimation of certain correlation coefficients, The Annals of Mathematical Statistics, 29, 201-211. crossref(new window)

Pellis, L., Hal, N. L., von Burema, J. and Keijer, J. (2003). The intraclass correlation coefficient applied for evaluation of data correction, labeling methods, and rectal biopsy sampling in DNA microarray experiments, Physiological Genomics, 16, 99-106. crossref(new window)

Rencher, A. C. (1995). Methods of Multivariate Analysis, Wiley, New York.

Seber, G. A. F. and Wild, C. J. (1989). Nonlinear Regression, Wiley, New York.

Srivastava, M. S. (1965). Some tests for the intraclass correlation model, The Annals of Mathematical Statistics, 36, 1802-1806. crossref(new window)

Visscher, P. M. (1998). On the sampling variance of intraclass correlations and genetic correlation, Genetics, 149, 1605-1614.

Visscher, P. M., Medland, S. E., Ferreira, M. A. R., Morley, K. I., Zhu, G., Cornes, B. K., Montgomery, G. W. and Martin, N. G. (2006). Assumption-free estimation of heritability from genome-wide identity-by-descent sharing between full siblings, PLoS Genetics, 2, e41. crossref(new window)