Least squares estimation of regression parameters in mixed effects models with unmeasured covariates

Communications in Statistics - Theory and Methods

Volumn 27, Issue 6, 1998, Pages 1487-1501

  Shao, Jun ^a   Palta, Mari ^a   Qu, Roger P ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

Longitudinal data; Marginal models; Misspecification; Repeated measures

Indexed keywords

EID: 0007210989     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929808832172     Document Type: Article

References (22)

1. Bowden, R. J. and Turkington, D. A. (1984). Instrumental Variables. Cambridge University Press, New York.
2. Chen, J. and Shao, J. (1993). Iterative weighted least squares estimator. The Annals of Statistics, 21, 1071-1092.
3. Dielman, T. E. (1995). Pooled Cross-Sectional and Time Series Data Analysis. Marcel Dekker, New York.
4. Dwyer, J. H., Feinleib, M., Lippert, P. and Hoffmeister, H. (1992). Statistical Models for Longitudinal Studies of Health (Chapter 1). Oxford University Press, New York.
5. Judge, G. G., Hill, R. C., Griffiths, W., Lütkepohl, H. and Lee, T.-C. (1982). Introduction to the Theory and Practice of Econometrics. Wiley, New York.
6. Hsiao, C. (1986). Analysis of Panel Data. Cambridge: Cambridge University Press.
7. Lange, N. and Laird, N. M. (1989). The effect of covariance structure on variance estimation in balanced growth-curve models with random parameters. Journal of the American Statistical Association 84, 241-247.
8. Laird, N. M. and Ware, J. H. (1982). Random effects models for longitudinal data. Biometrics 38, 963-974.
9. Loh, W.-Y. (1987). Calibrating confidence coefficients. J. Amer. Statist. Assoc., 82, 155-162.
10. Loh, W.-Y. (1991). Bootstrap calibration for confidence interval construction and selection. Statistica Sinica, 1, 477-492.
11. Mundlak, Y. (1978). On the pooling of time series and cross section data. Econometrica 46, 69-85.
12. Neuschaffer, C.J., Bush, T.L. and Hale, W.E. (1992). Aging and total cholesterol levels: Cohort, period and survivorship effects. American Journal of Epidemiology. 136, 23-34.
13. Palta, M., Gabbert, D., Weinstein M.R. and Peters, M.E.(1991). Multivariate assessment of traditional risk factors for chronic lung disease in very low birth weight neonates. Journal of Pediatrics 119, 285-292.
14. Palta, M. and Yao, T. J. (1991). Analysis of longitudinal data with unmeasured confounders. Biometrics. 47, 1355-1369.
15. Palta, M., Yao, T. J. and Velu, R. (1994) Testing for omitted variables and non-linearity in regression models for longitudinal data. Statistics in Medicine 13, 2219-2231.
16. Rao, C. R. (1973). Linear Statistical Inference and Its Applications, second edition, Wiley, New York.
17. Searle, S. R. (1971). Linear Models. Wiley, New York.
18. Swamy, P. A. V. B. (1970). Efficient inference in a random coefficient regres-sion model. Econometrica. 38, 311-323.
19. Weerakkody, G.J. and Johnson, D.E. (1992). Estimation of within model parameters in regression models with a nested error structure. Journal of the American Statistical Association 87, 708-713.
20. Wishart, J. (1938). Growth rate determinations in nutrition studies with Bacon Pig and their analyses. Biometrics 30, 16-28.
21. Weerahandi, S. and Amaratunga, D. (1997). A performance comparison of methods of inference in mixed models. To appear.
22. Yu, Q.-L. and Burdick, R. K. (1995). Confidence intervals on variance components in regression models with balanced (Q - 1)-fold nested error structure. Comm. Statist, Theory and Methods, 24, 1151-1167.