Log-Burr XII regression models with censored data

In survival analysis applications, the failure rate function may frequently present a unimodal shape. In such case, the log-normal or log-logistic distributions are used. In this paper, we shall be concerned only with parametric forms, so a location-scale regression model based on the Burr XII distribution is proposed for modeling data with a unimodal failure rate function as an alternative to the log-logistic regression model. Assuming censored data, we consider a classic analysis, a Bayesian analysis and a jackknife estimator for the parameters of the proposed model. For different parameter settings, sample sizes and censoring percentages, various simulation studies are performed and compared to the performance of the log-logistic and log-Burr XII regression models. Besides, we use sensitivity analysis to detect influential or outlying observations, and residual analysis is used to check the assumptions in the model. Finally, we analyze a real data set under log-Buff XII regression models. (C) 2008 Published by Elsevier B.V.

Deviance residuals in generalised log-gamma regression models with censored observations

In this article, we compare three residuals based on the deviance component in generalised log-gamma regression models with censored observations. For different parameter settings, sample sizes and censoring percentages, various simulation studies are performed and the empirical distribution of each residual is displayed and compared with the standard normal distribution. For all cases studied, the empirical distributions of the proposed residuals are in general symmetric around zero, but only a martingale-type residual presented negligible kurtosis for the majority of the cases studied. These studies suggest that the residual analysis usually performed in normal linear regression models can be straightforwardly extended for the martingale-type residual in generalised log-gamma regression models with censored data. A lifetime data set is analysed under log-gamma regression models and a model checking based on the martingale-type residual is performed.

Testing hypotheses in the Birnbaum-Saunders distribution under type-II censored samples

The two-parameter Birnbaum-Saunders distribution has been used successfully to model fatigue failure times. Although censoring is typical in reliability and survival studies, little work has been published on the analysis of censored data for this distribution. In this paper, we address the issue of performing testing inference on the two parameters of the Birnbaum-Saunders distribution under type-II right censored samples. The likelihood ratio statistic and a recently proposed statistic, the gradient statistic, provide a convenient framework for statistical inference in such a case, since they do not require to obtain, estimate or invert an information matrix, which is an advantage in problems involving censored data. An extensive Monte Carlo simulation study is carried out in order to investigate and compare the finite sample performance of the likelihood ratio and the gradient tests. Our numerical results show evidence that the gradient test should be preferred. Further, we also consider the generalized Birnbaum-Saunders distribution under type-II right censored samples and present some Monte Carlo simulations for testing the parameters in this class of models using the likelihood ratio and gradient tests. Three empirical applications are presented. (C) 2011 Elsevier B.V. All rights reserved.

Uso de internet no Brasil: uma análise baseada na Teoria de Resposta ao Item (TRI)

A presente dissertação visa identificar como se dá o uso da internet pelos brasileiros considerando as dimensões: governo eletrônico, lazer, informação, comunicação, educação, comércio eletrônico, e analisando itens são melhores discriminadores da dimensão bem como construir um indicador de precedência nos tipos de uso. Para tal será utilizada a fonte de dados secundária fornecida pelo centro de estudos CETIC referente à pesquisa TIC Domicílios 2009. E por intermédio da técnica estatística Teoria da Resposta ao Item (TRI) cada brasileiro da amostra receberá uma pontuação relacionada às suas respostas aos itens da dimensão. Este trabalho apresenta resultados que permitem explicar aspectos relacionados ao uso de internet pelos brasileiros. Para algumas dimensões agrupou-se os itens de modo a apresentar a dimensão discriminada em grupos. Para as dimensões de Comércio Eletrônico e de Governo Eletrônico concluiu-se que os itens de suas dimensões não discriminam grupos de brasileiros com relação o seu uso, pois pela curva característica do item, cada item discrimina os brasileiros na mesma dimensão da mesma forma. Já para Comunicação, Educação, Informação e Lazer são discriminados por grupos de itens mais prováveis ao uso pelo brasileiro e usos menos prováveis.

Controle on-line por atributos para o número de não-conformidades no item inspecionado com base em uma sequência de inspeção

This paper proposes a procedure to control on-line processes for attributes, using an Shewhart control chart with two control limits (warning limit and control limit) and will be based on a sequence of inspection (h). The inspection procedure is based on Taguchi et al. (1989), in which to inspect the item, if the number of non-conformities is higher than an upper control limit, the process needs to be stopped and some adjustment is required; and, if the last inspection h, from all items inspected present a number of non-conformities between the control limit and warning limit. The items inspected will suffer destructive inspection, being discarded after inspection. Properties of an ergodic Markov chain are used to get the expression of average cost per item and the aim was the determination of four optimized parameters: the sampling interval of the inspections (m); the constant W to draw the warning limit (W); the constant C to draw the control limit (C), where W £ C, and the length of sequence of inspections (h). Numerical examples illustrate the proposed procedure

Ajuste preventivo versus ajuste corretivo no controle on-line de processo do número de não-conformidades num item inspecionado

In production lines, the entire process is bound to unexpected happenings which may cost losing the production quality. Thus, it means losses to the manufacturer. Identify such causes and remove them is the task of the processing management. The on-line control system consists of periodic inspection of every month produced item. Once any of those items is quali ed as not t, it is admitted that a change in the fraction of the items occurred, and then the process is stopped for adjustments. This work is an extension of Quinino & Ho (2010) and has as objective main to make the monitoramento in a process through the control on-line of quality for the number of non-conformities about the inspected item. The strategy of decision to verify if the process is under control, is directly associated to the limits of the graphic control of non-conformities of the process. A policy of preventive adjustments is incorporated in order to enlarge the conforming fraction of the process. With the help of the R software, a sensibility analysis of the proposed model is done showing in which situations it is most interesting to execute the preventive adjustment

Choosing between Cox proportional hazards and logistic models for interval-censored data via bootstrap

This work develops a new methodology in order to discriminate models for interval-censored data based on bootstrap residual simulation by observing the deviance difference from one model in relation to another, according to Hinde (1992). Generally, this sort of data can generate a large number of tied observations and, in this case, survival time can be regarded as discrete. Therefore, the Cox proportional hazards model for grouped data (Prentice & Gloeckler, 1978) and the logistic model (Lawless, 1982) can befitted by means of generalized linear models. Whitehead (1989) considered censoring to be an indicative variable with a binomial distribution and fitted the Cox proportional hazards model using complementary log-log as a link function. In addition, a logistic model can be fitted using logit as a link function. The proposed methodology arises as an alternative to the score tests developed by Colosimo et al. (2000), where such models can be obtained for discrete binary data as particular cases from the Aranda-Ordaz distribution asymmetric family. These tests are thus developed with a basis on link functions to generate such a fit. The example that motivates this study was the dataset from an experiment carried out on a flax cultivar planted on four substrata susceptible to the pathogen Fusarium oxysoprum. The response variable, which is the time until blighting, was observed in intervals during 52 days. The results were compared with the model fit and the AIC values.

Desordens temporomandibulares e dor orofacial: estudo da qualidade de vida medida pelo Medical Outcomes Study 36 - Item Short Form Health Survey

JUSTIFICATIVA E OBJETIVOS: O conhecimento de indicadores de qualidade de vida (QV) relacionados à saúde bucal é especialmente relevante para a Odontologia considerando o impacto que as condições bucais podem provocar no bem estar psicológico e social. Estudos sobre aspectos psicossociais contribuem para maior integração da conduta clínica e assistencial, preocupação compartilhada com profissionais da saúde. Integrar as áreas de Psicologia e Odontologia quebrando paradigmas interdisciplinares e o interesse em conhecer os aspectos psicológicos dos pacientes, motivou a realização deste estudo. O objetivo deste estudo foi avaliar a QV dos pacientes com disfunção temporomandibular e/ou dor orofacial. MÉTODO: Foi aplicado o Questionário Genérico de Avaliação de Qualidade de Vida - Medical Outcomes Study 36 - Item Short Health Survey (SF-36) a 91 pacientes, que buscaram atendimento por apresentarem sinais e/ou sintomas de disfunção temporomandibular (DTM) e dor orofacial (DOF). O SF-36 avalia 8 domínios: capacidade funcional (CF), aspectos físicos (AF), dor, estado geral de saúde (EGS), saúde mental (SM), aspectos emocionais (AE), aspectos sociais (AS) e vitalidade (V). RESULTADOS: A análise estatística descritiva e inferencial pela Correlação de Pearson (p-valor < 0,05) demonstrou, com exceção da capacidade funcional (73,2), valores médios entre 50 e 64 para os demais domínios: AF - 57,6; Dor - 50; EGS - 54,5; V - 53,4; AS - 63,6; AE - 51,8; SM - 58. Considerando-se que a pontuação varia de 0 a 100, ou seja, do pior para o melhor estado de saúde, os valores médios foram baixos. Verificou-se correlação entre CF e EGS (p-valor 0,01), tendência de significância para dor e EGS (p-valor 0,07). CONCLUSÃO: Os aspectos dor e capacidade funcional interferem no estado geral de saúde; os pacientes com DTM e DOF sofreram impacto negativo na qualidade de vida pelo prejuízo dos aspectos físicos e mentais.

Extended Hierarchical Censored Production Rules (EHCPRs) system: An approach toward generalized knowledge representation

One common problem in all basic techniques of knowledge representation is the handling of the trade-off between precision of inferences and resource constraints, such as time and memory. Michalski and Winston (1986) suggested the Censored Production Rule (CPR) as an underlying representation and computational mechanism to enable logic based systems to exhibit variable precision in which certainty varies while specificity stays constant. As an extension of CPR, the Hierarchical Censored Production Rules (HCPRs) system of knowledge representation, proposed by Bharadwaj & Jain (1992), exhibits both variable certainty as well as variable specificity and offers mechanisms for handling the trade-off between the two. An HCPR has the form: Decision If(preconditions) Unless(censor) Generality(general_information) Specificity(specific_information). As an attempt towards evolving a generalized knowledge representation, an Extended Hierarchical Censored Production Rules (EHCPRs) system is suggested in this paper. With the inclusion of new operators, an Extended Hierarchical Censored Production Rule (EHCPR) takes the general form: Concept If (Preconditions) Unless (Exceptions) Generality (General-Concept) Specificity (Specific Concepts) Has_part (default: structural-parts) Has_property (default:characteristic-properties) Has_instance (instances). How semantic networks and frames are represented in terms of an EHCPRs is shown. Multiple inheritance, inheritance with and without cancellation, recognition with partial match, and a few default logic problems are shown to be tackled efficiently in the proposed system.