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Despite the amount of research on disease mapping in recent years, the use of multivariate models for areal spatial data remains limited due to difficulties in implementation and computational burden. These problems are exacerbated when the…

Methodology · Statistics 2023-07-24 G. Vicente , A. Adin , T. Goicoa , M. D. Ugarte

Disease maps display the spatial pattern in disease risk, so that high-risk clusters can be identified. The spatial structure in the risk map is typically represented by a set of random effects, which are modelled with a conditional…

Methodology · Statistics 2015-03-20 Duncan Lee

Functional ANOVA provides a nonparametric modeling framework for multivariate covariates, enabling flexible estimation and interpretation of effect functions such as main effects and interaction effects. However, effect-wise inference in…

Methodology · Statistics 2026-02-04 Youngjin Cho , Meimei Liu

Conditional autoregressive (CAR) models are commonly used to capture spatial correlation in areal unit data, and are typically specified as a prior distribution for a set of random effects, as part of a hierarchical Bayesian model. The…

Applications · Statistics 2012-05-17 Duncan Lee , Richard Mitchell

In countries where population census data are limited, generating accurate subnational estimates of health and demographic indicators is challenging. Existing model-based geostatistical methods leverage covariate information and spatial…

Methodology · Statistics 2022-08-08 Peter A. Gao , Jon Wakefield

In this paper, we focus on the variable selection techniques for a class of semiparametric spatial regression models which allow one to study the effects of explanatory variables in the presence of the spatial information. The spatial…

Methodology · Statistics 2021-06-03 Guannan Wang , Jue Wang

Disease maps are an important tool in cancer epidemiology used for the analysis of geographical variations in disease rates and the investigation of environmental risk factors underlying spatial patterns. Cancer maps help epidemiologists…

Applications · Statistics 2020-12-08 Leiwen Gao , Sudipto Banerjee , Abhirup Datta

In the current era of big data, researchers routinely collect and analyze data of super-large sample sizes. Data-oriented statistical methods have been developed to extract information from super-large data. Smoothing spline ANOVA (SSANOVA)…

Computation · Statistics 2016-02-18 Nathaniel E. Helwig , Ping Ma

Recent technological advances have enabled researchers in a variety of fields to collect accurately geocoded data for several variables simultaneously. In many cases it may be most appropriate to jointly model these multivariate spatial…

Methodology · Statistics 2015-05-29 Maria A. Terres , Montserrat Fuentes , Dean Hesterberg , Matthew Polizzotto

Disease mapping attempts to explain observed health event counts across areal units, typically using Markov random field models. These models rely on spatial priors to account for variation in raw relative risk or rate estimates. Spatial…

Methodology · Statistics 2025-10-03 Garazi Retegui , Alan E. Gelfand , Jaione Etxeberria , María Dolores Ugarte

To date, we have seen the emergence of a large literature on multivariate disease mapping. That is, incidence of (or mortality from) multiple diseases is recorded at the scale of areal units where incidence (mortality) across the diseases…

Methodology · Statistics 2026-04-17 Garazi Retegui , María Dolores Ugarte , Jaione Etxeberria , Alan E. Gelfand

Multivariate spatial disease mapping has become a pivotal part of everyday practice in social epidemiology. Despite the existence of several specifications for the relation between different outcomes, there is still a need for a new…

Applications · Statistics 2024-10-30 P. Escobar-Hernández , A. López-Quílez , F. Palmí-Perales , M. Marco

Spatial confounding is how is called the confounding between fixed and spatial random effects. It has been widely studied and it gained attention in the past years in the spatial statistics literature, as it may generate unexpected results…

Accelerometer data is commonplace in physical activity research, exercise science, and public health studies, where the goal is to understand and compare physical activity differences between groups and/or subject populations, and to…

Applications · Statistics 2023-06-14 Rui Xie , Lulu Chen , Joon-Hyuk Park , Jeffrey Stout , Ladda Thiamwong

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

Rare cancers affect millions of people worldwide each year. However, estimating incidence or mortality rates associated with rare cancers presents important difficulties and poses new statistical methodological challenges. In this paper, we…

Methodology · Statistics 2025-07-30 Garazi Retegui , Jaione Etxeberria , María Dolores Ugarte

Smoothing Spline ANOVA (SS-ANOVA) models in reproducing kernel Hilbert spaces (RKHS) provide a very general framework for data analysis, modeling and learning in a variety of fields. Discrete, noisy scattered, direct and indirect…

Statistics Theory · Mathematics 2007-06-13 Grace Wahba

Among the proposals for joint disease mapping, the shared component model has become more popular. Another recent advance to strengthen inference of disease data has been the extension of purely spatial models to include time and space-time…

Applications · Statistics 2020-05-04 Behzad Mahaki , Yadollah Mehrabi , Amir Kavousi , Volker J Schmid

For multivariate nonparametric regression, functional analysis-of-variance (ANOVA) modeling aims to capture the relationship between a response and covariates by decomposing the unknown function into various components, representing main…

Methodology · Statistics 2019-06-20 Ting Yang , Zhiqiang Tan

In immunological and clinical studies, matrix-valued time-series data clustering is increasingly popular. Researchers are interested in finding low-dimensional embedding of subjects based on potentially high-dimensional longitudinal…

Methodology · Statistics 2022-08-30 Leying Guan
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