The significance of potential-density regressions

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

doi:10.1111/j.0033-0124.1981.00341.x

The significance of potential-density regressions

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	341-349
Number of pages	9
Journal	Professional Geographer
Volume	33
Issue number	3
DOIs	https://doi.org/10.1111/j.0033-0124.1981.00341.x
State	Published - Aug 1981
Externally published	Yes

ASJC Scopus subject areas

Geography, Planning and Development
Earth-Surface Processes

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10.1111/j.0033-0124.1981.00341.x

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The significance of potential-density regressions

Abstract

ASJC Scopus subject areas

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