Selection bias in linear mixed models

Arellano-Valle, R. B. and Azzalini, A. (2006) On the unification of families of skew-normal distributions, Scandinavian Journal of Statistics, 33, 561–574.

Azzalini, A. and Dalla Valle, A. (1996) The multivariate skew-normal distribution, Biometrika, 83, 715–726.

Bellio, R. and Gori, E. (2003) Impact evaluation of job training programmes: selection bias in multilevel models, Journal of Applied Statistics, 30, 893–907.

Borgoni, R. and Billari, F. C. (2002) A multilevel sample selection probit model with an application to contraceptive use, In: Proceedings of the XLI meeting of the Italian Statistical Society, Padova, CLEUP.

Follmann, D. and Wu, M. C. (1995) An approximate generalized linear model with random effects for informative missing data, Biometrics, 51, 151–168.

Goldstein, H. (2003) Multilevel statistical models, (3rd), New York, Oxford University Press.

Grilli, L. and Rampichini, C. (2007a) A multilevel multinomial logit model for the analysis of graduates’ skills, Statistical Methods and Applications, 16, 381–393.

Grilli, L. and Rampichini, C. (2007b) Selection bias in linear mixed models, Electronic Working Papers of the Department of Statistics, No. 2007/10, University of Florence.

Hausman, J. and Wise, D. (1979) Attrition bias in experimental and panel data: the Gary income maintenance experiment, Econometrica, 47, 455–473.

Heckman, J. (1979) Sample selection bias as a specificaton error, Econometrica, 47, 153–161.

Jensen, P., Rosholm, M. and Verner, M. (2002) A Comparison of different estimators for panel data sample selection models, Economics Working Paper No. 2002-1, University of Aarhus.

Kyriazidou, E. (1997) Estimation of a panel data sample selection model, Econometrica, 65, 1335–1364.

Littell, R., Milliken, G., Stroup, W., Wolfinger, R. and Schabenberber, O. (2006) SAS for Mixed Models, Second Edition, Cary, SAS Institute Inc.

Little, R. J. A. and Rubin, D. B. (2002) Statistical analysis with missing data, (2nd), New York, Wiley.

Puhani, P. (2000) The heckman correction for sample selection and its critique, Journal of Economic Surveys, 14, 53–68.

Saha, C. and Jones, M. P. Asymptotic bias in the linear mixed effects model under non-ignorable missing data mechanisms, Journal of the Royal Statistical Society B, 67, 167–182.

Skrondal, A. and Rabe-Hesketh, S. (2004) Generalized latent variable modeling: multilevel, longitudinal and structural equation models, Boca Raton, FL: Chapman & Hall/ CRC Press.

Vella, F. (1998) Estimating models with sample selection bias: a survey, Journal of Human Resources, 33, 127–169.

Vella, F. and Verbeek, M. (1999) Two-step estimation of panel data models with censored endogenous variables and selection bias, Journal of Econometrics, 90, 239–263.

Verbeke, G. and Molenberghs, G. (2000) Linear mixed models for longitudinal data, New York, Springer.

Wooldridge, J. (1995) Selection corrections for panel data models under conditional mean independece assumptions, Journal of Econometrics, 68, 115–132.

Wooldridge, J. (2002) Econometric analysis of cross section and panel data, Cambridge, MA, The MIT Press.

Wu, M. and Carroll, R. (1988) Estimation and comparison of changes in the presence of informative censoring by modeling the censoring process, Biometrics, 44, 175–188.