Skip to main content

ETHNOS_APP

Home • Search • Journals • List 0

Testing the Importance of the Explanatory Variables in a Mixed Geographically Weighted Regression Model

Bibliographic Data

ID7761130
AuthorsChang-Lin Mei (Xi'an Jiaotong University), Changlin Mei (0000-0002-4663-7993, Xi'an Jiaotong University, corresponding author), Ning Wang (0009-0007-8931-918X, Xi'an Jiaotong University, corresponding author), Wen-Xiu Zhang (Xi'an Jiaotong University), Wenxiu Zhang (0009-0000-1257-5758, Xi'an Jiaotong University, corresponding author)
Year2006
Volume38
Issue3
Pages587-598
Publication date2006-03-01
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1068/a3768
OpenAlexW2136224105
LanguageEN
Citations received11
References cited15

A mixed geographically weighted regression (MGWR) model is a kind of regression model in which some coefficients of the explanatory variables are constant, but others vary spatially. It is a useful statistical modelling tool in a number of areas of spatial data analysis. After an MGWR model is identified and calibrated, which has been well studied recently, one of the important inference problems is to evaluate the influence of the explanatory variables in the constant-coefficient part on the response of the model. This is useful in the selection of the variables and for the purpose of explanation. In this paper, a statistical inference framework for this issue is suggested and, besides the F-approximation, which has been frequently used in the literature of the geographically weighted regression technique, a bootstrap procedure for deriving the p-value of the test is also suggested. The performance of the test is investigated by extensive simulations. It is demonstrated that both the F-approximation and the bootstrap procedure work satisfactorily

Cross-sectional regression · Econometrics · Inference · Linear regression · Model selection · Polynomial regression · Regression · Regression analysis · Regression diagnostic · Statistical inference · Statistics · Variables · Computer Science · Economic and Environmental Valuation · Mathematics · Regional Economics and Spatial Analysis · Spatial and Panel Data Analysis · Artificial Intelligence

  • The Spatial Dimension of House Prices

    Open Access•Yunlong Gong•Architecture and the Built…•2017

  • Accounting for spatial variation of land prices in hedonic imputation house price indexes

    Open Access•Yunlong Gong, Jan de Haan•Architecture and the Built…•2018

  • Spatial Analysis of Housing Prices and Market Activity with the Geographically Weighted Regression

    Open Access•Radosław Cellmer, Aneta Cichulska et al.•ISPRS International Journal of…•2020

  • Exploring Heterogeneities with Geographically Weighted Quantile Regression

    Open Access•Vivian Yi‐Ju Chen, Tse-Chuan Yang et al.•Geographical Analysis•2020

  • Airports in the urban landscape

    Open Access•Mirosław Bełej, Radosław Cellmer et al.•Land Use Policy•2023

  • Spatial Heterogeneity in Hedonic House Price Models

    Open Access•Marco Helbich, Wolfgang Brunauer et al.•Urban Studies•2014

  • Robust Geographically Weighted Regression

    Paul Harris, A Stewart Fotheringham et al.•Annals of the Association of…•2010

  • Local Linear Estimation of Spatially Varying Coefficient Models

    Open Access•Ning Wang, Chang-Lin Mei et al.•Environment and Planning A…•2008

  • Spatially Varying Coefficient Models

    Open Access•Si-Lian Shen, Chang-Lin Mei et al.•Environment and Planning A…•2011

  • The Importance of Scale in Spatially Varying Coefficient Modeling

    Daisuke Murakami, Bin Lu et al.•Annals of the American…•2019

  • A Flexible Bayesian Multiscale Geographically Weighted Poisson Regression Model

    Zhihua Ma, Guanghui Chen•Annals of the American…•2025

  • Bootstrap Methods

    B Efron•The Annals of Statistics•1979

  • Some Notes on Parametric Significance Tests for Geographically Weighted Regression

    Open Access•C Brunsdon, A Stewart Fotheringham et al.•Journal of Regional Science•1999

  • Geographically Weighted Regression

    Open Access•C Brunsdon, Stewart Fotheringham et al.•The Statistician•1998

  • Geographically Weighted Regression

    Open Access•C Brunsdon, A Stewart Fotheringham et al.•Geographical Analysis•1996

  • A General Framework for Estimation and Inference of Geographically Weighted Regression Models

    Open Access•Antonio Páez, Takashi Uchida et al.•Environment and Planning A…•2002

  • Testing for Spatial Autocorrelation among the Residuals of the Geographically Weighted Regression

    Open Access•Yee Leung, Chang-Lin Mei et al.•Environment and Planning A…•2000

  • Statistical Tests for Spatial Nonstationarity Based on the Geographically Weighted Regression Model

    Open Access•Yee Leung, Chang-Lin Mei et al.•Environment and Planning A…•2000

  • A General Framework for Estimation and Inference of Geographically Weighted Regression Models

    Open Access•Antonio Páez, Takashi Uchida et al.•Environment and Planning A…•2002

  • Geographically Weighted Regression

    Open Access•A Stewart Fotheringham, M E Charlton et al.•Environment and Planning A…•1998

Citations per year0.61
Citation span2008 - 2025 (18)
Highly citedNo

Tools

Open DOISci-Hub
Ethnos_APP • Open Source Project • MIT License • Frontend v2.0.0 • Privacy and Cookies • API Documentation: api.ethnos.app/docs • API Source Code: GitHub • DOI: 10.5281/zenodo.17049435 • Frontend Source Code: GitHub • DOI: 10.5281/zenodo.17050053 • cruz.rio.br • Expectantes Misericordiae