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Bayesian estimation of random‐coefficients choice models using aggregate data

利用聚合数据贝叶斯估计随机系数选择模型

Abstract This article discusses the use of Bayesian methods for estimating logit demand models using aggregate data. We analyze two different demand systems: independent samples and consumer panel. Under the first system, there is a different and independent random sample of N consumers in each period and each consumer makes only a single purchase decision. Under the second system, the same N consumers make a purchase decision in each of T periods. Interestingly, there…

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A Hierarchical Latent Variable Model for Ordinal Data from a Customer Satisfaction Survey with “No Answer” Responses

含“未回答”响应的顾客满意度有序数据分层潜变量模型

We propose an item response theory model for ordinal customer satisfaction data where the probability of each response is a function of latent person and question parameters and of cutoffs for the ordinal response categories. This structure was incorporated into a Bayesian hierarchical model by Albert and Chib. We extend this formulation by modeling item nonresponse, coded as “no answer” (NA), as due to either lack of a strong opinion or indifference to the entire question.…

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Bayesian Identification of Outliers in Computerized Adaptive Tests

计算机化自适应测试中异常作答者的贝叶斯识别

We consider the problem of identifying examinees with aberrant response patterns in a computerized adaptive test (CAT). The vector Y of responses of an examinee from a CAT is a multivariate response vector. Multivariate observations may be outlying in many different directions, and we characterize specific directions as corresponding to outliers with different interpretations. We develop a class of outlier statistics to identify different types of outliers based on a control…

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Bayesian Identification of Outliers in Computerized Adaptive Tests

计算机自适应测试中异常作答者的贝叶斯识别

We consider the problem of identifying examinees with aberrant response patterns in a computerized adaptive test (CAT). The vector Y of responses of an examinee from a CAT is a multivariate response vector. Multivariate observations may be outlying in many different directions, and we characterize specific directions as corresponding to outliers with different interpretations. We develop a class of outlier statistics to identify different types of outliers based on a control…

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