Use of Summary Measures to Adjust for Informative Missingness in Repeated Measures Data with Random Effects

We discuss how to apply the conditional informative missing model of Wu and Bailey (1989, Biometrics 45, 939-955) to the setting where the probability of missing a visit depends on the random effects of the primary response in a time-dependent fashion. This includes the case where the probability of missing a visit depends on the true value of the primary response. Summary measures for missingness that are weighted sums of the indicators of missed visits are derived for these situations. These summary measures are then incorporated as covariates in a random effects model for the primary response. This approach is illustrated by analyzing data collected from a trial of heroin addicts where missed visits are informative about drug test results. Simulations of realistic experiments indicate that these time-dependent summary measures also work well under a variety of informative censoring models. These summary measures can achieve large reductions in estimation bias and mean squared errors relative to those obtained by using other summary measures.

[1]  R B D'Agostino,et al.  Comparison of baseline and repeated measure covariate techniques in the Framingham Heart Study. , 1988, Statistics in medicine.

[2]  E. Lehmann Testing Statistical Hypotheses , 1960 .

[3]  Raymond J. Carroll,et al.  Estimation and comparison of changes in the presence of informative right censoring by modeling the censoring process , 1988 .

[4]  R F Woolson,et al.  Application of empirical Bayes inference to estimation of rate of change in the presence of informative right censoring. , 1992, Statistics in medicine.

[5]  J. Ware,et al.  Random-effects models for serial observations with binary response. , 1984, Biometrics.

[6]  Genesis and interpretation of differences in distribution of baseline characteristics between cases and non-cases in cohort studies. , 1979, Journal of chronic diseases.

[7]  Roderick J. A. Little,et al.  Statistical Analysis with Missing Data , 1988 .

[8]  J. Ware,et al.  Random-effects models for longitudinal data. , 1982, Biometrics.

[9]  J. Heckman Sample selection bias as a specification error , 1979 .

[10]  D. Rubin INFERENCE AND MISSING DATA , 1975 .

[11]  J. Ware,et al.  On the use of repeated measurements in regression analysis with dichotomous responses. , 1979, Biometrics.

[12]  K. Bailey,et al.  Estimation and comparison of changes in the presence of informative right censoring: conditional linear model. , 1989, Biometrics.

[13]  R. Little Pattern-Mixture Models for Multivariate Incomplete Data , 1993 .

[14]  R B D'Agostino,et al.  Relation of pooled logistic regression to time dependent Cox regression analysis: the Framingham Heart Study. , 1990, Statistics in medicine.

[15]  D. Follmann,et al.  An approximate generalized linear model with random effects for informative missing data. , 1995, Biometrics.

[16]  N. Breslow,et al.  Approximate inference in generalized linear mixed models , 1993 .

[17]  M. Schluchter,et al.  A registry of patients with severe deficiency of alpha1-antitrypsin: Design and methods , 1994 .

[18]  R F Woolson,et al.  Slope estimation in the presence of informative right censoring: modeling the number of observations as a geometric random variable. , 1994, Biometrics.

[19]  M C Wu,et al.  Sequential monitoring for comparison of changes in a response variable in clinical studies. , 1992, Biometrics.

[20]  J. Jaffe,et al.  A controlled trial of buprenorphine treatment for opioid dependence. , 1992, JAMA.

[21]  Diane Lambert,et al.  Generalizing Logistic Regression by Nonparametric Mixing , 1989 .

[22]  M D Schluchter,et al.  Methods for the analysis of informatively censored longitudinal data. , 1992, Statistics in medicine.