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Count data take on non-negative integer values and are challenging to properly analyze using standard linear-Gaussian methods such as linear regression and principal components analysis. Generalized linear models enable direct modeling of…

Methodology · Statistics 2020-01-14 F. William Townes

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

Leveraging multivariate spatial dependence to improve the precision of estimates using American Community Survey data and other sample survey data has been a topic of recent interest among data-users and federal statistical agencies. One…

Applications · Statistics 2024-01-19 Ryan Janicki , Andrew M. Raim , Scott H. Holan , Jerry Maples

Quasi-randomization approaches estimate latent participation probabilities for units from a nonprobability / convenience sample. Estimation of participation probabilities for convenience units allows their combination with units from the…

Applied Data Scientists throughout various industries are commonly faced with the challenging task of encoding high-cardinality categorical features into digestible inputs for machine learning algorithms. This paper describes a Bayesian…

Machine Learning · Computer Science 2019-05-01 Austin Slakey , Daniel Salas , Yoni Schamroth

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

We propose a general method for distributed Bayesian model choice, using the marginal likelihood, where a data set is split in non-overlapping subsets. These subsets are only accessed locally by individual workers and no data is shared…

Computation · Statistics 2022-10-18 Alexander Buchholz , Daniel Ahfock , Sylvia Richardson

It is often of interest to combine available estimates of a similar quantity from multiple data sources. When the corresponding variances of each estimate are also available, a model should take into account the uncertainty of the estimates…

Methodology · Statistics 2021-09-17 Yujing Yao , R. Todd Ogden , Chubing Zeng , Qixuan Chen

Small area estimation using survey data can be achieved by using either a design-based or a model-based inferential approach. Design-based direct estimators are generally preferable because of their consistency, asymptotic normality, and…

Methodology · Statistics 2025-10-13 Alana McGovern , Katherine Wilson , Jon Wakefield

In medical, social, and behavioral research we often encounter datasets with a multilevel structure and multiple correlated dependent variables. These data are frequently collected from a study population that distinguishes several…

Methodology · Statistics 2023-12-18 Xynthia Kavelaars , Joris Mulder , Maurits Kaptein

Data privacy has increasingly become a daunting challenge because it limits data availability, which is essential in estimating statistical models such as generalized linear mixed models. Access to personal data often involves considerable…

Methodology · Statistics 2026-05-05 Marie Analiz April Limpoco , Christel Faes , Niel Hens

Multilevel compositional data are data that are repeatedly measured or clustered within groups and are non-negative and sum to a constant value. These data arise in various settings, such as intensive, longitudinal studies using ecological…

Methodology · Statistics 2025-02-21 Flora Le , Tyman E. Stanford , Dorothea Dumuid , Joshua F. Wiley

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

We propose a MAP Bayesian approach to perform and evaluate a co-clustering of mixed-type data tables. The proposed model infers an optimal segmentation of all variables then performs a co-clustering by minimizing a Bayesian model selection…

Machine Learning · Statistics 2019-02-07 Aichetou Bouchareb , Marc Boullé , Fabrice Rossi , Fabrice Clérot

We introduce Bayesian hierarchical models for predicting high-dimensional tabular survey data which can be distributed from one or multiple classes of distributions (e.g., Gaussian, Poisson, Binomial, etc.). We adopt a Bayesian…

Methodology · Statistics 2022-11-18 Saikat Nandy , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

Modeling and computation for multivariate longitudinal surveys have proven challenging, particularly when data are not all continuous and Gaussian but contain discrete measurements. In many social science surveys, study participants are…

Applications · Statistics 2016-06-09 Tsuyoshi Kunihama , Carolyn T. Halpern , Amy H. Herring

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

The use of big data in official statistics and the applied sciences is accelerating, but statistics computed using only big data often suffer from substantial selection bias. This leads to inaccurate estimation and invalid statistical…

Methodology · Statistics 2023-08-11 Ryan Covey , Lucca Buonamano

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

Machine Learning · Statistics 2022-05-04 Thomas Lartigue , Sach Mukherjee