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A Spatial Version of the Chi-Square Goodness-of-fit Test and its Application to Tests for Spatial Clustering

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Econometric Advances in Spatial Modelling and Methodology

Part of the book series: Advanced Studies in Theoretical and Applied Econometrics ((ASTA,volume 35))

Abstract

Whether observed spatial data conform to our expectations has long been a central question of spatial analysis. Departures of observations from complete spatial randomness may be tested in a number of ways, for both point data and area data. A useful review is provided by Bailey and Gattrell (1995).

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References

  • Anselin, L. (1995). “Local indicators of spatial association — LISA” Geographical Analysis, 27, 93–115.

    Article  Google Scholar 

  • Bailey, T., and A. Gattrell. (1995). Interactive spatial data analysis. New York: Longman Scientfic and Technical

    Google Scholar 

  • Besag, J., and J. Newell. (1991). “The detection of clusters in rare diseases.” Journal of the Royal Statistical Society, Series A, 154, 143–55.

    Google Scholar 

  • Diggle, P.J. (1990). “A point process modelling approach to raised incidence of a rare phenomenon in the vicinity of a prespecified point” Journal of the Royal Statistical Society, Series A, 153, 349–62.

    Google Scholar 

  • Getis, A, and K. Ord. (1992). “The analysis of spatial association by use of distance statistics.” Geographical Analysis, 24, 189–206.

    Article  Google Scholar 

  • Fingleton, B. (1983). “Independence, stationarity, categorical spatial data and the chi-squared test” Environment and Planning A, 15,483–500.

    Article  Google Scholar 

  • Fingleton, B. (1986). “Analyzing cross-classified data with inherent spatial dependence.” Environment and Planning A, 18,48–61.

    Google Scholar 

  • Fotheringham, A.S., and F.B. Zhan. (1996). “A comparison of three exploratory methods for cluster detection in spatial point patterns.” Geographical Analysis, 28, 200–18.

    Article  Google Scholar 

  • Griffith, D.A (1992). “What is spatial autocorrelation? Reflections on the past 25 years of spatial statistics.” L’Espace géographique, 265-80.

    Google Scholar 

  • Knudsen, D., and A.S. Fotheringham. (1986). “Matrix comparison, goodness-of-fit, and spatial interaction modelling.” International regional Science Review, 10, 127–47.

    Article  Google Scholar 

  • Kulldorf, M., and N. Nagarwalla. (1994). “Spatial disease clusters: detection and inference.” Statistics in Medicine, 14, 799–810.

    Article  Google Scholar 

  • Lawson, A.B. (1993). “On the analysis of mortality events associated with a prespecified fixed point” Journal of the Royal Statistical Society, Series A, 156,363–77.

    Google Scholar 

  • Oden, N. (1995). “Adjusting Moran’s I for population density.” Statistics in Medicine, 14, 17–26.

    Article  Google Scholar 

  • Openshaw, S. (1987). “A Mark 1 Geographical Analysis Machine for the automated analysis of point data sets.” International Journal of Geographical Information Systems,1, 359–77.

    Article  Google Scholar 

  • Tango, T. (1995). “A class of tests for detecting ‘eneral’ and ‘focused’ clustering of rare diseases.” Statistics in Medicine, 14, 2323–2334.

    Article  Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Rogerson, P.A. (1998). A Spatial Version of the Chi-Square Goodness-of-fit Test and its Application to Tests for Spatial Clustering. In: Griffith, D.A., Amrhein, C.G., Huriot, JM. (eds) Econometric Advances in Spatial Modelling and Methodology. Advanced Studies in Theoretical and Applied Econometrics, vol 35. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2899-6_7

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  • DOI: https://doi.org/10.1007/978-1-4757-2899-6_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4788-8

  • Online ISBN: 978-1-4757-2899-6

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