Models for Ordered Categorical Variables: An Application

Ordered logit and ordered probit models, commonly used ordered categorical variable models, are used when the dependent variable is categorical and ordered. The validity of the predictions of these models depends on the assumption of parallel slopes. These models can be used if the assumption of...

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Main Authors: Öznur İşçi Güneri, Burcu Durmuş, Aynur İncekırık
Format: Article
Language:English
Published: ORDT: Organization for Research Development and Training 2024-11-01
Series:Journal of Interdisciplinary Sciences
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Online Access:https://journalofinterdisciplinarysciences.com/wp-content/uploads/2024/11/2-Models-for-Ordered-Categorical-Variables-An-Application.pdf
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author Öznur İşçi Güneri
Burcu Durmuş
Aynur İncekırık
author_facet Öznur İşçi Güneri
Burcu Durmuş
Aynur İncekırık
author_sort Öznur İşçi Güneri
collection DOAJ
description Ordered logit and ordered probit models, commonly used ordered categorical variable models, are used when the dependent variable is categorical and ordered. The validity of the predictions of these models depends on the assumption of parallel slopes. These models can be used if the assumption of parallel slopes is met. When this assumption is not met, the generalized ordered logit/probit model, which is more flexible in terms of assumption, or the multinomial logit model can be used by ignoring the assumption. In this connection, an exemplary data set was taken, and first of all, the assumption of parallel slopes was investigated. These models were compared using loglikelihood, Akaike Information Criteria (AIC), and Bayes Information Criteria (BIC) statistics for the validity of the models. In this way, the lowest log-likelihood, AIC, and BIC values were found for the generalized logit model.
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institution OA Journals
issn 2594-3405
language English
publishDate 2024-11-01
publisher ORDT: Organization for Research Development and Training
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spelling doaj-art-5de3ff53bc4b4ea3909c441df76414b52025-08-20T02:02:05ZengORDT: Organization for Research Development and TrainingJournal of Interdisciplinary Sciences2594-34052024-11-01822445Models for Ordered Categorical Variables: An ApplicationÖznur İşçi Güneri0Burcu Durmuş 1Aynur İncekırık2Department of Statistics, Faculty of Science, Muğla Sıtkı Koçman University, Muğla, TürkiyeDepartment of Statistics, Faculty of Science, Muğla Sıtkı Koçman University, Muğla, TürkiyeDepartment of Econometrics, Faculty of Economics and Administrative Sciences, Manisa Celal Bayar University, Manisa, TürkiyeOrdered logit and ordered probit models, commonly used ordered categorical variable models, are used when the dependent variable is categorical and ordered. The validity of the predictions of these models depends on the assumption of parallel slopes. These models can be used if the assumption of parallel slopes is met. When this assumption is not met, the generalized ordered logit/probit model, which is more flexible in terms of assumption, or the multinomial logit model can be used by ignoring the assumption. In this connection, an exemplary data set was taken, and first of all, the assumption of parallel slopes was investigated. These models were compared using loglikelihood, Akaike Information Criteria (AIC), and Bayes Information Criteria (BIC) statistics for the validity of the models. In this way, the lowest log-likelihood, AIC, and BIC values were found for the generalized logit model.https://journalofinterdisciplinarysciences.com/wp-content/uploads/2024/11/2-Models-for-Ordered-Categorical-Variables-An-Application.pdfordered logit modelordered probit modelgeneralized logit modelgeneralized probit model
spellingShingle Öznur İşçi Güneri
Burcu Durmuş
Aynur İncekırık
Models for Ordered Categorical Variables: An Application
Journal of Interdisciplinary Sciences
ordered logit model
ordered probit model
generalized logit model
generalized probit model
title Models for Ordered Categorical Variables: An Application
title_full Models for Ordered Categorical Variables: An Application
title_fullStr Models for Ordered Categorical Variables: An Application
title_full_unstemmed Models for Ordered Categorical Variables: An Application
title_short Models for Ordered Categorical Variables: An Application
title_sort models for ordered categorical variables an application
topic ordered logit model
ordered probit model
generalized logit model
generalized probit model
url https://journalofinterdisciplinarysciences.com/wp-content/uploads/2024/11/2-Models-for-Ordered-Categorical-Variables-An-Application.pdf
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