The significance of potential-density regressions

Michael Goodchild, Ralph F. Milliff, Scott M. Davis

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Strong correlations have been observed between potential indices and the densities of spatial variables. The conventional null hypothesis of bivariate regression is inappropriate for testing their significance. A randomization test is proposed and is applied to 1975 US population data by state. The resulting relationship has a significant correlation, but its slope could occur frequently under the null hypothesis. The correlation is shown to be related to the spatial autocorrelation of densities by constructing arrangements with prescribed values of the modified Moran index.

Original languageEnglish (US)
Pages (from-to)341-349
Number of pages9
JournalProfessional Geographer
Volume33
Issue number3
DOIs
StatePublished - Jan 1 1981
Externally publishedYes

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regression
autocorrelation
Values
index
test

ASJC Scopus subject areas

  • Geography, Planning and Development
  • Earth-Surface Processes

Cite this

The significance of potential-density regressions. / Goodchild, Michael; Milliff, Ralph F.; Davis, Scott M.

In: Professional Geographer, Vol. 33, No. 3, 01.01.1981, p. 341-349.

Research output: Contribution to journalArticle

Goodchild, Michael ; Milliff, Ralph F. ; Davis, Scott M. / The significance of potential-density regressions. In: Professional Geographer. 1981 ; Vol. 33, No. 3. pp. 341-349.
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