Abstract
The last chapter set the stage for a discussion of those ingredients necessary for the formulation of a theory of spatial statistics, namely the concept of spatial autocorrelation and the inferential basis built upon a multivariate normality assumption or randomization permutations. Section 1.5 furnishes a brief glimpse into the problematic issues plaguing the formulation of a theory of spatial statistics. A more comprehensive review of these issues can be found in Griffith (1980, 1981, 1987). The general purpose of this chapter is to illuminate avenues for this theory formulation to follow, and in doing so to supply an introduction to much of the content of this book. Moreover, the formulation of a theory of spatial statistics in part requires a number of obstructing problems to be solved.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arbia, G., 1986, Problems in the estimation of the spatial autocorrelation function arising from the form of the weights matrix, in Transformations Through Space and Time, edited by D. Griffith and R. Haining, Dordrecht: Martinus Nijhoff, pp. 295–308.
Bivand, R., 1980, A Monte Carlo study of correlation coefficient estimation with spatially autocorrelated observations, Quaestiones Geographicae, Vol. 6: 5–10.
Brandsma, A., and R. Ketellapper, 1979, A biparametric approach to spatial autocorrelation, Environment and Planning A, Vol. 11: 51–58.
Gould, P., 1970, Is statistix inferens the geographical name for a wild goose?, Economic Geography, Vol. 46 (supplement): 439–448.
Griffith, D., 1980, Towards a theory of spatial statistics, Geographical Analysis, Vol. 12: 325–339.
Griffith, D., 1981, Towards a theory of spatial statistics: a rejoinder, Geographical Analysis, Vol. 13: 91–93.
Griffith, D., 1984, Are locations unique?, Progress in Human Geography, Vol. 8: 82–94.
Griffith, D., 1985, Correcting for Edge Effects in Spatial Statistical Analysis, unpublished master’s thesis, Department of Statistics, The Pennsylvania State University, University Park, Pennsylvania.
Griffith, D., 1987, Toward a theory of spatial statistics: another step forward, Geographical Analysis, Vol. 19: 69–82.
Haining, R., 1978, A spatial model for high plains agriculture, Annals of the Association of American Geographers, Vol. 68: 493–504.
Lebart, L., 1969, Analyse statistique de la contiguite, Publications de l’Institute Statistique de l’Universite de Paris, Vol. 18: 81–112.
Martin, R., 1974, On spatial dependence, bias and the use of first spatial differences in regression analysis, Area, Vol. 6: 185–194.
Ord, K., 1975, Estimation methods for models of spatial interaction, Journal of the American Statistical Association, Vol. 70: 120–126.
Streitberg, B., 1979, Multivariate models of dependent spatial data, in Exploratory and Explanatory Statistical Analysis of Spatial Data, edited by C. Bartels and R. Ketellapper. The Hague: Martinus Nijhoff, pp. 143–177.
Upton, G., and B. Fingleton, 1985, Spatial Data Analysis by Example: Point Pattern and Quantitative Data, Vol. 1. New York: Wiley.
Wartenberg, D., 1985, Multivariate spatial correlation: a method for exploratory geographic analysis, Geographical Analysis, Vol. 17: 263–283.
Wonnacott, R., and T. Wonnacott, 1970, Econometrics, Toronto: Wiley.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Kluwer Academic Publishers, Dordrecht
About this chapter
Cite this chapter
Griffith, D.A. (1988). Developing a Theory of Spatial Statistics. In: Advanced Spatial Statistics. Advanced Studies in Theoretical and Applied Econometrics, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2758-2_2
Download citation
DOI: https://doi.org/10.1007/978-94-009-2758-2_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7739-2
Online ISBN: 978-94-009-2758-2
eBook Packages: Springer Book Archive