caa a22 4500 475793048 CHVBK 20180406123715.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1007/s001840050047 doi (NATIONALLICENCE)springer-10.1007/s001840050047 Some model-restricted shrinkage estimators for contingency tables with missing data [Elektronische Daten] [Lang Wu, Jaxk Reeves, Michael D. Perlman] Abstract.: For contingency tables with extensive missing data, the unrestricted MLE under the saturated model, computed by the EM algorithm, is generally unsatisfactory. In this case, it may be better to fit a simpler model by imposing some restrictions on the parameter space. Perlman and Wu (1999) propose lattice conditional independence (LCI) models for contingency tables with arbitrary missing data patterns. When this LCI model fits well, the restricted MLE under the LCI model is more accurate than the unrestricted MLE under the saturated model, but not in general. Here we propose certain empirical Bayes (EB) estimators that adaptively combine the best features of the restricted and unrestricted MLEs. These EB estimators appear to be especially useful when the observed data is sparse, even in cases where the suitability of the LCI model is uncertain. We also study a restricted EM algorithm (called the ER algorithm) with similar desirable features. Springer-Verlag Berlin Heidelberg, 2000 Key words: Sparse data nationallicence empirical Bayes estimator nationallicence lattice conditional independence model nationallicence EM algorithm nationallicence restricted maximum likelihood estimator nationallicence Wu Lang Department of Biostatistics, Harvard University, Boston, MA 02115, USA (e-mail: lwu@hsph-harvard.edu), US aut Reeves Jaxk Department of Statistics, University of Georgia, Athens, GA 30602, USA (e-mail: jaxk@stat.uga.edu), GE aut Perlman Michael D. Department of Statistics, University of Washington, Seattle, WA 98195, USA (e-mail: michael@ms.washington, edu), US aut https://doi.org/10.1007/s001840050047 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840050047 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Lang Department of Biostatistics, Harvard University, Boston, MA 02115, USA (e-mail: lwu@hsph-harvard.edu), US aut NATIONALLICENCE 700 1- Reeves Jaxk Department of Statistics, University of Georgia, Athens, GA 30602, USA (e-mail: jaxk@stat.uga.edu), GE aut NATIONALLICENCE 700 1- Perlman Michael D. Department of Statistics, University of Washington, Seattle, WA 98195, USA (e-mail: michael@ms.washington, edu), US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer