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We propose a novel nonparametric Bayesian IRT model in this paper by introducing the clustering effect at question level and further assume heterogeneity at examinee level under each question cluster, characterized by the mixture of…

Methodology · Statistics 2022-11-23 Tianyu Pan , Weining Shen , Clintin P. Davis-Stober , Guanyu Hu

This paper is concerned with learning decision makers' preferences using data on observed choices from a finite set of risky alternatives. We propose a discrete choice model with unobserved heterogeneity in consideration sets and in…

Econometrics · Economics 2021-01-07 Levon Barseghyan , Francesca Molinari , Matthew Thirkettle

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

Multilevel linear models allow flexible statistical modelling of complex data with different levels of stratification. Identifying the most appropriate model from the large set of possible candidates is a challenging problem. In the…

Methodology · Statistics 2022-11-15 Tom Edinburgh , Ari Ercole , Stephen J. Eglen

Cost-effectiveness analyses (CEAs) are at the center of health economic decision making. While these analyses help policy analysts and economists determine coverage, inform policy, and guide resource allocation, they are statistically…

Methodology · Statistics 2020-09-10 Arman Oganisian , Nandita Mitra , Jason Roy

In binary-transaction data-mining, traditional frequent itemset mining often produces results which are not straightforward to interpret. To overcome this problem, probability models are often used to produce more compact and conclusive…

Machine Learning · Computer Science 2012-09-27 Ruefei He , Jonathan Shapiro

Ongoing advances in microbiome profiling have allowed unprecedented insights into the molecular activities of microbial communities. This has fueled a strong scientific interest in understanding the critical role the microbiome plays in…

Methodology · Statistics 2024-11-18 Satabdi Saha , Liangliang Zhang , Kim-Anh Do , Christine B. Peterson

Motivated by genome-wide association studies, we consider a standard linear model with one additional random effect in situations where many predictors have been collected on the same subjects and each predictor is analyzed separately.…

Applications · Statistics 2013-04-24 Matti Pirinen , Peter Donnelly , Chris C. A. Spencer

This paper presents a novel nonlinear regression model for estimating heterogeneous treatment effects from observational data, geared specifically towards situations with small effect sizes, heterogeneous effects, and strong confounding.…

Methodology · Statistics 2019-11-14 P. Richard Hahn , Jared S. Murray , Carlos Carvalho

This paper proposes the asymmetric linear double autoregression, which jointly models the conditional mean and conditional heteroscedasticity characterized by asymmetric effects. A sufficient condition is established for the existence of a…

Methodology · Statistics 2021-04-22 Songhua Tan , Qianqian Zhu

In public health management there is a need to produce subnational estimates of health outcomes. Often, however, funds are not available to collect samples large enough to produce traditional survey sample estimates for each subnational…

Applications · Statistics 2008-12-18 Donald Malec , Peter Müller

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

This paper proposes a new Bayesian multiple change-point model which is based on the hidden Markov approach. The Dirichlet process hidden Markov model does not require the specification of the number of change-points a priori. Hence our…

Statistics Theory · Mathematics 2015-05-08 Stanley I. M. Ko , Terence T. L. Chong , Pulak Ghosh

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

Gene-gene interactions are often regarded as playing significant roles in influencing variabilities of complex traits. Although much research has been devoted to this area, to date a comprehensive statistical model that addresses the…

Applications · Statistics 2018-04-18 Durba Bhattacharya , Sourabh Bhattacharya

Nonlinear mixed effects models have received a great deal of attention in the statistical literature in recent years because of their flexibility in handling longitudinal studies, including human immunodeficiency virus viral dynamics,…

Methodology · Statistics 2021-09-28 Fernanda L. Schumacher , Dipak K. Dey , Victor H. Lachos

Bayesian methods have proven themselves to be successful across a wide range of scientific problems and have many well-documented advantages over competing methods. However, these methods run into difficulties for two major and prevalent…

Methodology · Statistics 2022-07-29 John R. Lewis , Steven N. MacEachern , Yoonkyung Lee

We commonly assume that data are a homogeneous set of observations when learning the structure of Bayesian networks. However, they often comprise different data sets that are related but not homogeneous because they have been collected in…

Machine Learning · Statistics 2022-11-16 Marco Scutari , Christopher Marquis , Laura Azzimonti

This paper develops a semiparametric Bayesian instrumental variable analysis method for estimating the causal effect of an endogenous variable when dealing with unobserved confounders and measurement errors with partly interval-censored…

Methodology · Statistics 2025-01-28 Elvis Han Cui , Xuyang Lu , Jin Zhou , Hua Zhou , Gang Li

Multivariate categorical data are routinely collected in many application areas. As the number of cells in the table grows exponentially with the number of variables, many or even most cells will contain zero observations. This severe…

Methodology · Statistics 2020-04-06 Emanuele Aliverti , David B. Dunson