Diagnosing explainable heterogeneity of variance in random-effects models

Canadian Journal of Statistics

Volumn 28, Issue 1, 2000, Pages 3-18

  Zhang, Fan ^a   Weiss, Robert E ^b  

^a ELI LILLY AND COMPANY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adjusted residuals; Diagnostics; Nonconstant variance; Repeated measures; Score tests

Indexed keywords

EID: 0034344420     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315878     Document Type: Article

References (26)

1. A. C. Atkinson (1985). Plots, Transformations, and Regression. Clarendon Press, Oxford.
2. B. H. Baltagi & Q. Li (1980). A joint test for serial correlation and random individual effects. Statistics & Probability Letters, 11, 277-280.
3. T. S. Breusch & A. R. Pagan (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47, 1287-1294.
4. T. S. Breusch & A. R. Pagan (1980). The Lagrange multiplier test and its applications to model specification in econometrics. The Review of Economic Studies, 47, 239-253.
5. C. F. Chen (1983). Score tests for regression model. Journal of the American Statistical Association, 78, 158-161.
6. C. F. Chen (1985). Robustness aspects of score tests for generalized linear and partially linear regression models. Technometrics, 27, 277-283.
7. E. M. Chi, & G. C. Reinsel (1989). Models for longitudinal data with random effects and AR(1) errors. Journal of the American Statistical Association, 84, 452-459.
8. E. M. Chi, & G. C. Reinsel (1991). Asymptotic properties of the score test for autocorrelation in a random effects with AR(1) errors model. Statistics & Probability Letters, 11, 453-457.
9. D. Commenges, L. Letenneur, H. Jacqmin, T. Moreau & J. F. Dartigues (1994). Test of homogeneity of binary data with explanatory variables. Biometrics, 50, 613-620.
10. R. D. Cook & S. Weisberg (1983). Diagnostics for heteroscedasticity in regression. Biometrika, 70, 1-10.
11. R. D. Cook & S. Weisberg (1994). An Introduction to Regression Graphics. Wiley, New York.
12. D. R. Cox & D. V. Hinkley (1974). Theoretical Statistics. Chapman and Hall, London.
13. A. Hamerle (1990). On a simple test for neglected heterogeneity in panel studies. Biometrics, 46, 193-199.
14. H. Jacqmin-Gadda & D. Commenges (1995). Tests of homogeneity for generalized linear models. Journal of the American Statistical Association, 90, 1237-1246.
15. N. M. Laird, & J. H. Ware (1982). Random-effects models for longitudinal data. Biometrics, 38, 963-974.
16. S. le Cessie & H. C. van Houwelingen (1995). Testing the fit of a regression model via score tests in random effects models. Biometrics, 51, 600-614.
17. K. Y. Liang (1987). A locally most powerful test for homogeneity with many strata. Biometrika, 74, 259-264.
18. T. A. Louis (1988). General methods for analysing repeated measures. Statistics in Medicine, 7, 29-45.
19. E. D. Lustbader & S. H. Moolgavkar (1985). A diagnostic statistic for the score test. Journal of the American Statistical Association, 80, 375-379.
20. S. R. Searle, G. Casella & C. E. McCulloch (1992). Variance Components. Wiley, New York.
21. G. A. F. Seber (1984). Multivariate Observations. Wiley, New York.
22. D. O. Stram & J. W. Lee (1994). Variance components testing in the longitudinal mixed effects model. Biometrics, 50, 1171-1177.
23. A. P. Verbyla (1993). Modelling variance heterogeneity: residual maximum likelihood and diagnostics. Journal of the Royal Statistical Society. Series B, 55, 493-508.
24. C. Waternaux, N. M. Laird & J. H. Ware (1989). Methods for analysis of longitudinal data: blood-lead concentrations and cognitive development. Journal of the American Statistical Association, 84, 33-41.
25. R. E. Weiss & C. G. Lazaro (1992). Residual plots for repeated measures. Statistics in Medicine, 11, 115-124.
26. D. Zelterman & C. F. Chen (1988). Homogeneity tests against central- mixture alternatives. Journal of the American Statistical Association, 83, 179-182.