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The spatial panel regression model has shown great success in modelling econometric and other types of data that are observed both spatially and temporally with associated predictor variables. However, model checking via testing for spatial…

Methodology · Statistics 2021-10-22 Jianfeng Wang , Adam B Kashlak

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

The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information used in the FH model to include…

Methodology · Statistics 2014-05-12 Aaron T. Porter , Scott H. Holan , Christopher K. Wikle , Noel Cressie

The spatial linear mixed model (SLMM) consists of fixed and spatial random effects that may be linearly dependent. Partially motivated as a means to address potential issues with confounding, the Restricted spatial regression (RSR) model…

Methodology · Statistics 2026-03-24 Jonathan R. Bradley

Small area estimation (SAE) plays a central role in survey statistics and epidemiology, providing reliable estimates for domains with limited sample sizes. The multivariate Fay-Herriot model has been extensively used for this purpose,…

Methodology · Statistics 2026-01-22 Shushi Nishina , Takahiro Onizuka , Shintaro Hashimoto

We investigate spatial confounding in the presence of multivariate disease dependence. In the "analysis model perspective" of spatial confounding, adding a spatially dependent random effect can lead to significant variance inflation of the…

Methodology · Statistics 2026-02-13 Kyle Lin Wu , Sudipto Banerjee

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

Econometrics · Economics 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang

This paper presents methods for analyzing spatial experiments when complex spillovers, displacement effects, and other types of "interference" are present. We present a robust, design-based approach to analyzing effects in such settings.…

Methodology · Statistics 2023-03-07 Cyrus Samii , Ye Wang , Jonathan Sullivan , Peter M. Aronow

Marginal structural models fit via inverse probability of treatment weighting are commonly used to control for confounding when estimating causal effects from observational data. When planning a study that will be analyzed with marginal…

Applications · Statistics 2020-03-16 Bonnie E. Shook-Sa , Michael G. Hudgens

Informative sampling designs can impact spatial prediction, or kriging, in two important ways. First, the sampling design can bias spatial covariance parameter estimation, which in turn can bias spatial kriging estimates. Second, even with…

Methodology · Statistics 2021-08-30 Erin M. Schliep , Christopher K. Wikle , Ranadeep Daw

Spatial confounding between the spatial random effects and fixed effects covariates has been recently discovered and showed that it may bring misleading interpretation to the model results. Solutions to alleviate this problem are based on…

Methodology · Statistics 2016-05-17 Marcos O. Prates , Erica C. Rodrigues , Renato M. Assunção

Spatial areal models encounter the well-known and challenging problem of spatial confounding. This issue makes it arduous to distinguish between the impacts of observed covariates and spatial random effects. Despite previous research and…

Methodology · Statistics 2024-01-08 A. Urdangarin , T. Goicoa , T. Kneib , M. D. Ugarte

Single-parameter summaries of variable effects in regression settings are desirable for ease of interpretation. However (partially) linear models for example, which would deliver these, may fit poorly to the data. On the other hand, an…

Statistics Theory · Mathematics 2025-07-28 Harvey Klyne , Rajen D. Shah

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…

We consider a small area estimation model under square-root transformation in the presence of functional measurement error. When measurement error is present, the Bayes predictor can no longer be used as it depends on the covariates even if…

Methodology · Statistics 2023-09-27 Ka Long Keith Ho , Masayo Y. Hirose , Malay Ghosh

This article develops a random effects quantile regression model for panel data that allows for increased distributional flexibility, multivariate heterogeneity, and time-invariant covariates in situations where mean regression may be…

Econometrics · Economics 2023-09-07 Ivan Jeliazkov , Shubham Karnawat , Mohammad Arshad Rahman , Angela Vossmeyer

This paper addresses the inference of spatial dependence in the context of a recently proposed framework. More specifically, the paper focuses on the estimation of model parameters for a class of generalized Gibbs random fields, i.e.,…

Statistics Theory · Mathematics 2007-06-13 Samuel Elogne , Dionisis Hristopulos

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

We consider a spatial functional linear regression, where a scalar response is related to a square integrable spatial functional process. We use a smoothing spline estimator for the functional slope parameter and establish a finite sample…

Statistics Theory · Mathematics 2019-08-07 Stéphane Bouka , Sophie Dabo-Niang , Guy Martial Nkiet

Assessing associations between a response of interest and a set of covariates in spatial areal models is the leitmotiv of ecological regression. However, the presence of spatially correlated random effects can mask or even bias estimates of…

Methodology · Statistics 2021-06-02 A. Adin , T. Goicoa , J. S. Hodges , P. Schnell , M. D. Ugarte