A flexible Bayesian generalized linear model for dichotomous response data with an application to text categorization

Flexible Bayesian modelling in dichotomous item response theory using mixtures of skewed item curves

Most Item Response Theory (IRT) models for dichotomous responses are based on probit or logit link functions which assume a symmetric relationship between the probability of a correct response and the latent traits of individuals submitted to a test. This assumption restricts the use of those models to the case in which all items have a symmetric behaviour. On the other hand, asymmetric models proposed in the literature impose that all the items in a test have an asymmetric behaviour. This assumption is inappropriate for great part of the tests which are, in general, composed by both symmetric…

Estimating Bayesian Optimal Treatment Regimes for Dichotomous Outcomes using Observational Data

Optimal treatment regimes (OTR) are individualised treatment assignment strategies that identify a medical treatment as optimal given all background information available on the individual. We discuss Bayes optimal treatment regimes estimated using a loss function defined on the bivariate distribution of dichotomous potential outcomes. The proposed approach allows considering more general objectives for the OTR than maximization of an expected outcome (e.g., survival probability) by taking into account, for example, unnecessary treatment burden. As a motivating example we consider the case of …

一种灵活的潜在变量模型用于抗体反应数据的分析

A flexible class of latent variable models for the analysis of antibody response data

本文提出了一种灵活的潜在变量模型，用于分析抗体反应数据，通过连续的潜在免疫反应表示个体免疫状态，提升了对年龄相关抗体分布变化的捕捉能力，并展示了模型的广泛适用性。

A Bayesian Nonparametric IRT Model

This paper introduces a flexible Bayesian nonparametric Item Response Theory (IRT) model, which applies to dichotomous or polytomous item responses, and which can apply to either unidimensional or multidimensional scaling. This is an infinite-mixture IRT model, with person ability and item difficulty parameters, and with a random intercept parameter that is assigned a mixing distribution, with mixing weights a probit function of other person and item parameters. As a result of its flexibility, the Bayesian nonparametric IRT model can provide outlier-robust estimation of the person ability para…

Discrete Responses in Bivariate Generalized Additive Models

A conceptual framework for the analysis of dichotomous and ordinal polychotomous responses within a penalized multivariate Generalized Linear Model is introduced. The proposed structure allows for a rather flexible predictor specification through the inclusion of non-parametric and spatial covariate effects, and the characterisation of the distribution of the stochastic model components with copulae of univariate marginals. Analytic derivations for the particular case of Gaussian marginals within a bivariate system of dichotomous outcomes are also provided, and the framework is subsequently il…

结局变量与连续预测变量间估计的非线性关联的性能度量分类

A categorization of performance measures for estimated non-linear associations between an outcome and continuous predictors

针对回归分析中非线性关联评估的性能度量缺乏系统梳理的问题，提出了一套覆盖常用度量的分类体系，可用于模拟与应用研究，并通过示例和Shiny app验证对比了不同度量的表现。