Multicollinearity and correlation among local regression coefficients in geographically weighted regression

Journal of Geographical Systems

Volumn 7, Issue 2, 2005, Pages 161-187

  Wheeler, David ^a   Tiefelsdorf, Michael ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

Experimental spatial design; Geographically weighted regression; Local regression diagnostics; Multicollinearity; Spatial eigenvectors

Indexed keywords

DATA PROCESSING; REGRESSION;

EID: 21244497275     PISSN: 14355930     EISSN: 14355949     Source Type: Journal    
DOI: 10.1007/s10109-005-0155-6     Document Type: Article

References (31)

1. Anselin L (1995) Local indicators of spatial association - LISA. Geogr Anal 27(2):93-115
2. Anselin L (2003) An introduction to spatial autocorrelation analysis with GeoDa. GeoDa Documentation. URL: http://www.csiss.org/clearinghouse/ GeoDa/
3. Belsley DA, Kuh E, Welsch RE (1980) Regression diagnostics: Identifying, influential data and sources of collinearity. Wiley, New York
4. Boots BN, Tiefelsdorf M (2000) Global and local spatial autocorrelation in bounded regular tessellations. J Geogr Syst 2:319-348
5. Brewer CA, MacEachren AM, Pickle LW, Hermann D (1997) Mapping mortality: evaluating color schemes for choropleth maps. Ann Assoc Am Geogr 87:411-438
6. Brunsdon C, Fotheringham AS, Charlton M (1996) Geographically weighted regression: A method for exploring spatial nonstationarity. Geogr Anal 28(4):281-298
7. de Jong P, Sprenger C, van Veen F (1984) On extreme values of Moran's I and Geary's c. Geogr Anal 16:17-24
8. Devesa SS, Grauman DJ, Blot WJ, Pennello G, Hoover RN, Fraumeni JF Jr (1999) Atlas of cancer mortality in the United States, 1950-94. National Cancer Institute, Bethesda. URL: http://www3.cancer.gov/atlasplus/
9. Fotheringham AS, Brunsdon C, Charlton M (2002) Geographically weighted regression: The analysis of spatially varying relationships. Wiley, West Sussex
10. Fotheringham AS, Charlton M, Brunsdon C (1998) Geographically weighted regression: A natural evolution of the expansion method for spatial data analysis. Environ Plan A 30(11):1905-1927
11. Fox J (1997) Applied regression analysis, linear models, and related methods. Sage Publications, Thousand Oaks
12. Gelfand A, Kim HJ, Sirmans CJ, Banerjee S (2003) Spatial modeling with spatially varying coefficient processes. J Am Stat Assoc 98(462):387-396
13. Greene WH (2000) Economic analysis. Prentice-Hall, Upper Saddle River, New Jersey
14. Griffith D (2003) Spatial autocorrelation and spatial filtering. Springer, Berlin Heidelberg New York
15. Haining RP (1990) Spatial data analysis in the social and environmental sciences. Cambridge University Press, Cambridge
16. Haining, RP (1991) Bivariate correlation with spatial data. Geogr Anal 23:210-27
17. Haining RP (2003) Spatial data analysis: Theory and practice. Cambridge University Press, Cambridge
18. Huang Y, Leung Y (2002) Analysing regional industrialisation in Jiangsu province using geographically weighted regression. J Geogr Syst 4:233-249
19. LeSage JP (2001) Econometrics toolbox for MATLAB. URL: http://www.spatialeconometrics.com/
20. LeSage JP (2004) A family of geographically weighted regression models. In: Anselin L, Florax RJGM, Rey SJ (eds) Advances in spatial econometrics. Methodology, tools and applications. Springer, Berlin Heidelberg New York, pp 241-264
21. Leung Y, Mei CL, Zhang WX (2000) Statistical tests for spatial nonstationarity based on the geographically weighted regression model. Environ Plan A 32:9-32
22. Longley JW (1967) An appraisal of least squares programs from the point of the user. J Am Stat Assoc 62:819-841
23. Longley PA, Tobón C (2004) Spatial dependence and heterogeneity in patterns of hardship: An intra-urban analysis. Ann Assoc Am Geogr 94:503-519
24. Mehnert WH, Smans M, Muir CS, Möhner M, Schön D (1992) Atlas of cancer incidence in the former German Democratic Republic 1978-1982. Oxford University Press, New York
25. Nakaya T (2001) Local spatial interaction modelling based on the geographically weighted regression approach. Geo Journal 53:347-358
26. Ord JK, Getis A (1995) Local spatial autocorrelation statistics: distributional issues and an application. Geogr Anal 27:286-306
27. Páez A, Uchida T, Miyamoto K (2002a) A general framework for estimation and inference of geographically weighted regression models: 1. Location-specific kernel bandwidths and a test for locational heterogeneity. Environ Plan A 34:733-754
28. Páez A, Uchida T, Miyamoto K (2002b) A general framework for estimation and inference of geographically weighted regression models: 2. Spatial association and model specification tests. Environ Plan A 34:883-904
29. Tiefelsdorf M (2000) Modelling spatial processes: The identification and analysis of spatial relationships in regression residuals by means of Moran's I. Springer, Berlin Heidelberg New York
30. Tiefelsdorf M (2003) Misspecifications in interaction model distance decay relations: A spatial structure effect. J Geogr Syst 5:25-50
31. ε1,ε2. Environ Plan A (conditionally accepted)