A note on the mixed geographically weighted regression model

Journal of Regional Science

Volumn 44, Issue 1, 2004, Pages 143-157

  Mei, Chang Lin ^a,b   He, Shu Yuan ^a   Fang, Kai Tai ^c  

^a PEKING UNIVERSITY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

^c HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

REGRESSION ANALYSIS; SPATIAL ANALYSIS; STATISTICAL ANALYSIS;

EID: 1642264983     PISSN: 00224146     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1085-9489.2004.00331.x     Document Type: Article

References (21)

1. Anselin, Luc and Serge Rey. 1991. "Properties of Tests for Spatial Dependence in Linear Regression Models," Geographical Analysis, 23, 112-131.
2. Azzalini, Adelchi and Adrian Bowman. 1993. "On the Use of Nonparametric Regression for Checking Linear Relationships," Journal of the Royal Statistical Society, Series B, 55, 549-557.
3. Brunsdon, Chris, A. Stewart Fotheringham, and Martin Charlton. 1996. "Geographically Weighted Regression: A Method for Exploring Spatial Nonstationarity," Geographical Analysis, 28, 281-298.
4. Brunsdon, Chris, A. Stewart Fotheringham, and Martin Charlton. 1998. "Geographically Weighted Regression: Modelling Spatial Non-Stationarity," The Statistician, 47, 431-443.
5. Brunsdon, Chris, A. Stewart Fotheringham, and Martin Charlton. 1999, "Some Notes on Parametric Significance Tests for Geographically Weighted Regression," Journal of Regional Science, 39, 497-524.
6. Cleveland, William S., Susan J. Devlin, and Eric Grosse. 1988, "Regression by Local Fitting: Methods, Properties and Computational Algorithms," Journal of Econometrics, 83, 596-610.
7. Fotheringham, A. Stewart, Martin Charlton, and Chris Brunsdon. 1997a. "Measuring Spatial Variations in Relationships with Geographically Weighted Regression," in Manfred M. Fischer and Arthur Getis (eds.), Recent Developments in Spatial Analysis. London: Springer-Verlag, pp. 60-82.
8. Fotheringham, A. Stewart, Martin Charlton, and Chris Brunsdon. 1997b. "Two Techniques for Exploring Non-Stationarity in Geographical Data," Geographical Systems, 4, 59-82.
9. Friedman, Jerome H. and Werner Stuetzle. 1981. "Projection Pursuit Regression," Journal of the American Statistical Association, 76, 817-823.
10. Hastie, Trevor J. and Robert J. Tibshirani. 1990. Generalized Additive Models. London: Chapman and Hall.
11. Hepple, Leslie W. 1998. "Exact Testing for Spatial Autocorrelation Among Regression Residuals," Environment and Planning A, 30, 85-109.
12. Imhof, J. P. 1961. "Computing the Distribution of Quadratic Forms in Normal Variables," Biometrika, 48, 419-426.
13. Jayasuriya, Bodhini R. 1996. "Testing for Polynomial Regression Using Non-Parametric Regression Techniques," Journal of the American Statistical Association, 91, 1626-1631.
14. Johnson, Richard A. and Dean W. Wichern. 1992. Applied Multivariate Statistical Analysis (3rd Edition). Upper Saddle River, NJ: Prentice Hall.
15. Leung, Yee, Chang-Lin Mei, and Wen-Xiu Zhang. 2000a. "Statistical Tests for Spatial Non-stationarity Based on the Geographically Weighted Regression Model," Environment and Planning A, 32, 9-32.
16. Leung, Yee, Chang-Lin Mei, and Wen-Xiu Zhang. 2000b. "Testing for Spatial Autocorrelation among the Residuals of the Geographically Weighted Regression," Environment and Planning A, 32, 871-890.
17. Rogerson, Peter A. 1999. "The Detection of Clusters Using a Spatial Version of the Chi-Square Goodness-of-Fit Statistics," Geographical Analysis, 31, 130-147.
18. SAS Institute Inc. 1988. SAS/IML®, User's Guide, Release 6.03 Edition. Cary, NC: SAS Institute Inc.
19. Sidák, Z. 1967. "Rectangular Confidence Regions for the Means of Multivariate Normal Distribution," Journal of the American Statistical Association, 62, 626-633.
20. Tango, Toshiro. 1995. "A Class of Tests for Detecting 'General' and 'Focused' Clustering of Rare Disease," Statistics in Medicine, 14, 2323-2334.
21. Tiefelsdorf, Micheal and Barry Boots. 1995. "The exact Distribution of Moran's I," Environment and Planning A, 27, 985-999.