Dealing with separation or near-to-separation in the model for multinomial response with application to childhood health seeking behavior data from a complex survey
© 2021 Informa UK Limited, trading as Taylor & Francis Group.
| Publié dans: | Journal of applied statistics. - 1991. - 49(2022), 16 vom: 01., Seite 4254-4277 |
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| Format: | Article en ligne |
| Langue: | English |
| Publié: |
2022
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| Accès à la collection: | Journal of applied statistics |
| Sujets: | Journal Article Monotone-likelihood Poisson log-linear model choice of health facilities penalty function |
| Résumé: | © 2021 Informa UK Limited, trading as Taylor & Francis Group. Separation or monotone-likelihood can be observed in fitting process of a multinomial logistic model using maximum likelihood estimation (MLE) when sample size is small and/or one of the outcome categories is rare and/or there is one or more influential covariates, resulting in infinite or biased estimate of at least one regression coefficient of the model. This study investigated empirically to identify the optimal data condition to define both 'separation' and 'near-to-separation' (partial separation) and explored their consequences in MLE and provided a solution by applying a penalized likelihood approach, which has been proposed in the literature, by adding a Jeffreys prior-based penalty term to the original likelihood function to remove the first-order bias in the MLEs of the multinomial logit model via equivalent Poisson regression. Furthermore, the penalized estimating equation (PMLE) is extended to a weighted estimating equation allowing for survey-weight for analyzing data from a complex survey. The simulation study suggests that the PMLE outperforms the MLE by providing smaller amount of bias and mean squared of error and better coverage. The methods are applied to analyze data on choice of health facility for treatment of childhood diseases |
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| Description: | Date Revised 11.11.2022 published: Electronic-eCollection Citation Status PubMed-not-MEDLINE |
| ISSN: | 0266-4763 |
| DOI: | 10.1080/02664763.2021.1977260 |