{"id":25453,"date":"2022-04-18T10:23:26","date_gmt":"2022-04-18T08:23:26","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25453"},"modified":"2022-04-26T11:32:15","modified_gmt":"2022-04-26T09:32:15","slug":"krause-j-burgard-j-p-morales-d-2021-%e2%84%932-penalized-approximate-likelihood-inference-in-logit-mixed-models-for-regional-prevalence-estimation-under-covariate-rank-deficiency-2","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2022\/04\/18\/krause-j-burgard-j-p-morales-d-2021-%e2%84%932-penalized-approximate-likelihood-inference-in-logit-mixed-models-for-regional-prevalence-estimation-under-covariate-rank-deficiency-2\/","title":{"rendered":"Krause, J., Burgard, J.P., Morales, D. (2022) \u201c\u21132 -penalized approximate likelihood inference in logit mixed models for regional prevalence estimation under covariate rank-deficiency\u201d, Metrika, 85 (4):459\u2013489"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Joscha Krause, Jan Pablo Burgard (Department of Economic and Social Statistics, Trier University) and Domingo Morales (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)<\/strong><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract: <\/strong>Regional prevalence estimation requires the use of suitable statistical methods on epidemiologic data with substantial local detail. Small area estimation with medical treatment records as covariates marks a promising combination for this purpose. However, medical routine data often has strong internal correlation due to diagnosis-related grouping in the records. Depending on the strength of the correlation, the space spanned by the covariates can become rank-deficient. In this case, prevalence estimates suffer from unacceptable uncertainty as the individual contributions of the covariates to the model cannot be identified properly. We propose an area-level logit mixed model for regional prevalence estimation with a new fitting algorithm to solve this problem. We extend the Laplace approximation to the log-likelihood by an \u21132-penalty in order to stabilize the estimation process in the presence of covariate rank-deficiency. Empirical best predictors under the model and a parametric bootstrap for mean squared error estimation are presented. A Monte Carlo simulation study is conducted to evaluate the properties of our methodology in a controlled environment. We further provide an empirical application where the district-level prevalence of multiple sclerosis in Germany is estimated using health insurance records.<\/p>","protected":false},"excerpt":{"rendered":"<p>Joscha Krause, Jan Pablo Burgard (Department of Economic and Social Statistics, Trier University) and Domingo Morales (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)<br \/>\nAbstract: Regional prevalence estimation requires the use of suitable statistical methods on epidemiologic data with substantial local detail. Small area estimation with medical treatment records as covariates marks a promising combination for [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25453"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25453"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25453\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}