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Os modelos de regressão logística ordinais são usados para descrever a relação entre uma variável resposta categórica ordinal e uma ou mais variáveis explanatórias. Uma vez ajustado o modelo de regressão, se faz necessário verificar a qualidade do ajuste do modelo. As estatísticas qui-quadrado de Pearson e da razão de verossimilhanças não são adequadas para acessar a qualidade do ajuste do modelo de regressão logística ordinal quando variáveis contínuas estão presentes no modelo. Para este caso, foram propostos os testes de Lipsitz, a versão ordinal do teste de Hosmer-Lemeshow e os testes qui-quadrado e razão de verossimilhanças de Pulkistenis-Robinson. Nesta dissertação é feita uma revisão das técnicas de diagnóstico disponíveis para os Modelos logito cumulativo, Modelos logito categorias adjacentes e Modelos logito razão contínua, bem como uma aplicação a fim de investigar a relação entre a perda auditiva, o equilíbrio e aspectos emocionais nos idosos. / Ordinal regression models are used to describe the relationship between an ordered categorical response variable and one or more explanatory variables which could be discrete or continuous. Once the regression model has been fitted, it is necessary to check the goodness-of-fit of the model. The Pearson and likelihood-ratio statistics are not adequate for assessing goodness-of-fit in ordinal logistic regression model with continuous explanatory variables. For this case, the Lipsitz test, the ordinal version of the Hosmer-Lemeshow test and Pulkstenis-Robinson chi-square and likelihood ratio tests were proposed. This dissertation aims to review the diagnostic techniques available for the cumulative logit models, categories adjacent logit models and continuous ratio logistic models. In addition, an application was developed in order to investigate the relationship between hearing loss, balance and emotional aspects in the elderly.

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Approved for public release; distribution in unlimited. / In this thesis we develop a procedure for detecting erroneous payments in the Defense Finance Accounting Service, Internal Review's (DFAS IR) Knowledge Base Of Erroneous Payments (KBOEP), with the use of supervised (Logistic Regression) and unsupervised (Classification and Regression Trees (C & RT)) modeling algorithms. S-Plus software was used to construct a supervised model of vendor payment data using Logistic Regression, along with the Hosmer-Lemeshow Test, for testing the predictive ability of the model. The Clementine Data Mining software was used to construct both supervised and unsupervised model of vendor payment data using Logistic Regression and C & RT algorithms. The Logistic Regression algorithm, in Clementine, generated a model with predictive probabilities, which were compared against the C & RT algorithm. In addition to comparing the predictive probabilities, Receiver Operating Characteristic (ROC) curves were generated for both models to determine which model provided the best results for a Coincidence Matrix's True Positive, True Negative, False Positive and False Negative Fractions. The best modeling technique was C & RT and was given to DFAS IR to assist in reducing the manual record selection process currently being used. A recommended ruleset was provided, along with a detailed explanation of the algorithm selection process. / Lieutenant Commander, United States Navy