IDENTIFICATION OF NONRESPONSE MECHANISMS FOR TWO-WAY CONTINGENCY TABLES

In this paper, we use decomposable graphical models to describe the mechanisms of nonresponse in contingency tables classified by two binary variables, and we discuss identification of parameters in these models. For an unidentifiable model, we introduce covariates which are always observed such that this model becomes identifiable. We also give conditions for identifiability of odds ratios. These results are useful not only for data analysis but also for study design.

[1]  Kenneth R. Niswander,et al.  The Women and their Pregnancies: The Collaborative Perinatal Study of the National Institute of Neurological Diseases and Stroke , 1972 .

[2]  Nan M. Laird,et al.  Regression Analysis for Categorical Variables with Outcome Subject to Nonignorable Nonresponse , 1988 .

[3]  W F Rosenberger,et al.  Closed-form estimates for missing counts in two-way contingency tables. , 1992, Statistics in medicine.

[4]  J. N. R. Jeffers,et al.  Graphical Models in Applied Multivariate Statistics. , 1990 .

[5]  Jeroen K. Vermunt,et al.  Log-Linear Models for Event Histories , 1997 .

[6]  Nan M. Laird,et al.  Multivariate Logistic Models for Incomplete Binary Responses , 1996 .

[7]  James M. Robins,et al.  Semiparametric Regression for Repeated Outcomes With Nonignorable Nonresponse , 1998 .

[8]  Alan H. Welsh,et al.  Log-linear models for survey data with non-ignorable non-response , 1993 .

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

[10]  Gary F. V. Glonek.  On identifiability in models for incomplete binary data , 1999 .

[11]  D. Edwards.  Introduction to graphical modelling , 1995 .

[12]  L. A. Goodman.  Exploratory latent structure analysis using both identifiable and unidentifiable models , 1974 .

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

[14]  Nanny Wermuth,et al.  Multivariate Dependencies: Models, Analysis and Interpretation , 1996 .

[15]  T. Rothenberg.  Identification in Parametric Models , 1971 .

[16]  M. Kenward,et al.  Informative dropout in longitudinal data analysis (with discussion) , 1994 .

[17]  M. Kenward,et al.  Informative Drop‐Out in Longitudinal Data Analysis , 1994 .

[18]  R. Fay.  Causal Models for Patterns of Nonresponse , 1986 .

[19]  Michael G. Kenward,et al.  Nonrandom Missingness in Categorical Data: Strengt hs and Limitations , 1999 .