Abstract
This paper discusses some multivariate exploratory spatial data analysis tools for detecting spatial dependence. The ideas explored are related to canonical correlation analysis and the graphical tools are related to the dynamic method called the grand tour. The work is implemented with a link between a Geographic Information System, ARC/INFOTM, and software for exploring multivariate data, XGobi.
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References
Akaike, H. (1976). Canonical Correlation Analysis and the Use of an Information Criterion. In Mehra, R. K. and Lainiotis, D. J., editors, Systems Identification: Advances and Case Studies. Academic Press, New York, NY, pages 27 - 96.
Anderson, T. W. (1958). An Introduction to Multivariate Statistical Analysis. Wiley, New York, NY.
Andrews, D. F. and Herzberg, A. M. (1985). Data - A Collection of Problems from Many Fields for the Student and Research Worker. Springer-Verlag, New York, NY.
Amelia, L. and Getis, A. (1992). Spatial Statistical Analysis and Geographic Information Systems. Annals of Regional Science, 26: 19 - 33.
Aoki, M. (1987). State Space Modelling of Time Series. Springer, New York, NY.
Asimov, D. (1985). The Grand Tour: A Tool for Viewing Multidimensional Data. SIAM Journal Scientific and Statistical Computing, 6 (1): 128 - 143.
Box, G. E. P. and Tiao, G. C. (1977). A Canonical Analysis of Multiple Time Series. Biometrika, 64: 355 - 365.
Bradley, R. and Haalett, J. (1992). High-interaction Diagnostics for Geostatistical Models of Spatially Referenced Data. The Statistician, 41: 371 - 380.
Buja, A. and Asimov, D. (1986). Grand Tour Methods: An Outline. Computing Science and Statistics, 17: 63 - 67.
Buja, A., Asimov, D., Hurley, C., and McDonald, J. A. (1988). Elements of a Viewing Pipeline for Data Analysis. In Cleveland, W. S. and McGill, M. E., editors, Dynamic Graphics for Statistics, pages 277 - 308. Wadsworth, Monterey, CA.
Buja, A., McDonald, J. A., Michalak, J., and Stuetsle, W. (1991). Interactive Data Visualization using Focusing and Linking. In Nielson, G. M. and Rosenblum, L., editors, Proceedings of Visualization ’91. IEEE Computer Society Press, Los Alamitos, CA, pages 156 - 162.
Chauvet, P. (1982). The Variogram Cloud. In Proceedings of the 17th APCOM Symposium. Colorado School of Mines, Golden, CO, pages 757 - 764.
Cooper, D. M. and Wood, E. F. (1982). Identifying Multivariate Time Series Mod.. els. Journal of Time Series Analysis, 3: 153 - 164.
Cressie, N. (1984). Towards Resistant Geostatistics. In Verly, G., David, M., Jour-nel, A., and Marechal, A., editors, Geostatistics for Natural Resources Characterization, Part 1. Reidel, Dordrecht, pages 21 - 44.
Cressie, N. and Helterbrand, J. D. (1994). Multivariate Spatial Statistical Models. Geographical Systems, 1. Forthcoming.
Cressie, N. and Majure, J. (1993). Visualizing Spatial Dependence in Multivariate Data. Technical Report 93-4, ISU Statistical Laboratory Preprint Series.
Cressie, N. A. C. (1993). Statistics for Spatial Data (revised edition). Wiley, New York, NY.
Dillon, W. R. and Goldstein, M. (1984). Multivariate Analysis: Methods and Applications. Wiley, New York, NY.
Ding, Y. and Fotheringham, A. S. (1992). The Integration of Spatial Analysis and GIS. Computers, Environment and Urban Systems, 16: 3 - 19.
Fotheringham, A. S. and Rogerson, P. (1993). GIS and Spatial Analytical Problems. International Journal of Geographical Information Systems, 7: 3 - 19.
Getis, A. and Ord, J. K. (1992). The Analysis of Spatial Association by Use of Distance Statisics. Geographical Analysis, 24: 189 - 206.
Goodchild, M. F. (1991). The Technological Setting of GIS. In Maguire, D. J., Goodchild, M. F., and Hind, D. W., editors, Geographical Information Systems: Principles and Applications, vol. 1. Longman, London, pages 9 - 20.
Goodchild, M. F., Haining, R. P., and Wise, S. (1992). Integrating GIS and Spatial Analysis - problems and possibilities. International Journal of Geographical Information Systems, 6: 407 - 423.
Haslett, J., Bradley, R., Craig, P., Unwin, A., and Wills, G. (1991). Dynamic Graphics for Exploring Spatial Data with Application to Locating Global and Local Anomalies. The American Statistician, 45 (3): 234 - 242.
Maguire, D. J. (1991). An Overview and Definition of GIS. In Maguire, D. J., Goodchild, M. F., and Hind, D. W., editors, Geographical Information Systems: Principles and Applications, vol. 1. Longman, London, pages 9 - 20.
McDonald, J. A. and Willis, S. (1987). Use of the Grand Tour in Remote Sensing. ASA Video Collection, American Statistical Association, Alexandria, VA.
Openshaw, S. (1991). Developing Appropriate Spatial Analysis Methods for GIS. In Maguire, D. J., Goodchild, M. F., and Hind, D. W., editors, Geographical Information Systems: Principles and Applications, vol. I. Longman, London, pages 389 - 402.
Pena, D. and Box, G. E. P. (1987). Identifying a Simplifying Structure in Time Series. Journal of the American Statistical Association, 82: 836 - 843.
Stevens W. R. (1990). UNIX Network Programming. Prentice-Hall, Englewood Cliffs, NJ.
Swayne, D. F., Cook, D., and Buja, A. (1991). XGobi: Interactive Dynamic Graphics in the X Window System with a Link to S. In ASA Proceedings of the Section on Statistical Graphics. American Statistical Association, Alexandria, VA, pages 1 - 8.
Switzer, P. and Green, A. A. (1984). Min/max Autocorrelation Factors for Multivariate Spatial Imagery. Technical Report 6, Department of Statistics, Stanford University.
Symansik, J., Majure, J., Cook, D., and Cressie, N. (1994). Dynamic Graphics in a GIS: A Link between ARC/INFO and XGobi. Computing Science and Statistics, 26. To appear.
Tiao, G. C. and Tsay, R. S. (1989). Model Specification in Multivariate Time Series. Journal of the Royal Statistical Society, Series B, 51: 157 - 195.
Wackernagel, H. (1988). Geostatistical Techniques for Interpreting Multivariate Spatial Information. In Chung, C. F., Fabbri, A. G., and Sinding-Larsen, R., editors, Quantative Analysis of Mineral and Energy Resources. Reidel, Dordrecht, pages 393 - 409.
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Cook, D., Cressie, N., Majure, J., Symanzik, J. (1994). Some Dynamic Graphics for Spatial Data (with Multiple Attributes) in a GIS. In: Dutter, R., Grossmann, W. (eds) Compstat. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-52463-9_11
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DOI: https://doi.org/10.1007/978-3-642-52463-9_11
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0793-6
Online ISBN: 978-3-642-52463-9
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