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Related papers: Modelling collinear and spatially correlated data

200 papers

Spatially misaligned data, where the response and covariates are observed at different spatial locations, commonly arise in many environmental studies. Much of the statistical literature on handling spatially misaligned data has been…

Methodology · Statistics 2023-10-10 Z. Y. Tho , F. K. C. Hui , A. H. Welsh , T. Zou

Causal inference in spatial domains faces two intertwined challenges: (1) unmeasured spatial factors, such as weather, air pollution, or mobility, that confound treatment and outcome, and (2) interference from nearby treatments that violate…

Machine Learning · Computer Science 2025-10-13 Ayush Khot , Miruna Oprescu , Maresa Schröder , Ai Kagawa , Xihaier Luo

In this paper, we use a probabilistic model to estimate the number of uncorrelated features in a large dataset. Our model allows for both pairwise feature correlation (collinearity) and interdependency of multiple features…

Machine Learning · Computer Science 2023-09-26 Ghurumuruhan Ganesan

Analysis of observational studies increasingly confronts the challenge of determining which of a possibly high-dimensional set of available covariates are required to satisfy the assumption of ignorable treatment assignment for estimation…

Methodology · Statistics 2022-03-23 Chanmin Kim , Mauricio Tec , Corwin M Zigler

Air pollution is a great concern because of its impact on human health and on the environment. Statistical models play an important role in improving knowledge of this complex spatio-temporal phenomenon and in supporting public agencies and…

Applications · Statistics 2015-03-17 Michela Cameletti , Rosaria Ignaccolo , Stefano Bande

In a multiple linear regression model, the algebraic formula of the decomposition theorem explains the relationship between the univariate regression coefficient and partial regression coefficient using geometry. It was found that…

Methodology · Statistics 2021-05-04 Xingguo Wu

The autologistic model and related auto-models, commonly applied as autocovariate regression, offer distinct advantages for analysing spatially autocorrelated ecological data. However, comparative studies by Carl and K\"uhn (Ecol. Model.,…

Quantitative Methods · Quantitative Biology 2015-01-28 David C. Bardos , Gurutzeta Guillera-Arroita , Brendan A. Wintle

Environmental exposures, such as air pollution and extreme temperatures, have complex effects on human health. These effects are often characterized by non-linear exposure-lag-response relationships and delayed impacts over time. Accurately…

Methodology · Statistics 2025-12-02 Álvaro Briz-Redón , Ana Corberán-Vallet , Adina Iftimi , Carmen Íñiguez

In air pollution studies, dispersion models provide estimates of concentration at grid level covering the entire spatial domain, and are then calibrated against measurements from monitoring stations. However, these different data sources…

Applications · Statistics 2020-08-17 Chiara Forlani , Samir Bhatt , Michela Cameletti , Elias Krainski , Marta Blangiardo

When exposure measurement error (EME), confounder measurement error (CME), or both are present, health effect estimates regarding exposure mixtures and critical exposure time-window may not represent the true effects. For example, in air…

Statistics Theory · Mathematics 2025-05-28 Honghyok Kim

When assessing the short term effect of air pollution on health outcomes, it is common practice to consider one pollutant at a time, due to their high correlation. Multi pollutant methods have been recently proposed, mainly consisting of…

Applications · Statistics 2019-06-19 Marta Blangiardo , Monica Pirani , Lauren Kanapka , Anna Hansell , Gary Fuller

Air pollution constitutes the highest environmental risk factor in relation to heath. In order to provide the evidence required for health impact analyses, to inform policy and to develop potential mitigation strategies comprehensive…

Applications · Statistics 2021-08-23 Matthew L. Thomas , Gavin Shaddick , Daniel Simpson , Kees de Hoogh , James V. Zidek

Results in epidemiology and social science often require the removal of confounding effects from measurements of the pairwise correlation of variables in survey data. This is typically accomplished by some variant of linear regression…

Methodology · Statistics 2025-12-02 William H. Press

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

Sensors are the key to environmental monitoring, which impart benefits to smart cities in many aspects, such as providing real-time air quality information to assist human decision-making. However, it is impractical to deploy massive…

Machine Learning · Computer Science 2024-04-24 Junfeng Hu , Yuxuan Liang , Zhencheng Fan , Li Liu , Yifang Yin , Roger Zimmermann

We develop new methodology to improve our understanding of the causal effects of multivariate air pollution exposures on public health. Typically, exposure to air pollution for an individual is measured at their home geographic region,…

Methodology · Statistics 2025-11-18 Heejun Shin , Danielle Braun , Kezia Irene , Michelle Audirac , Joseph Antonelli

Analyzing air pollution data is challenging as there are various analysis focuses from different aspects: feature (what), space (where), and time (when). As in most geospatial analysis problems, besides high-dimensional features, the…

Machine Learning · Computer Science 2022-02-14 Yun-Hsin Kuo , Takanori Fujiwara , Charles C. -K. Chou , Chun-houh Chen , Kwan-Liu Ma

Motivated by analyzing a national data base of annual air pollution and cardiovascular disease mortality rate for 3100 counties in the U.S. (areal data), we develop a novel statistical framework to automatically detect spatially varying…

Applications · Statistics 2015-11-19 Shuo Chen , Chengsheng Jiang , Lance Waller

Estimating the health effects of multiple air pollutants is a crucial problem in public health, but one that is difficult due to unmeasured confounding bias. Motivated by this issue, we develop a framework for partial identification of…

Methodology · Statistics 2025-06-23 Suyeon Kang , Alexander Franks , Michelle Audirac , Danielle Braun , Joseph Antonelli

Air pollution poses a serious threat to sustainable environmental conditions in the 21st century. Its importance in determining the health and living standards in urban settings is only expected to increase with time. Various factors…

Machine Learning · Computer Science 2022-06-16 Mayukh Bhattacharyya , Sayan Nag , Udita Ghosh