2015年1月26日
An alternative to Moran's I for spatial autocorrelation
- 記述言語
- 掲載種別
- 機関テクニカルレポート，技術報告書，プレプリント等
Moran's I statistic, a popular measure of spatial autocorrelation, is<br />
revisited. The exact range of Moran's I is given as a function of spatial<br />
weights matrix. We demonstrate that some spatial weights matrices lead the<br />
absolute value of upper (lower) bound larger than 1 and that others lead the<br />
lower bound larger than -0.5. Thus Moran's I is unlike Pearson's correlation<br />
coefficient. It is also pointed out that some spatial weights matrices do not<br />
allow Moran's I to take positive values regardless of observations. An<br />
alternative measure with exact range [-1,1] is proposed through a monotone<br />
transformation of Moran's I.
revisited. The exact range of Moran's I is given as a function of spatial<br />
weights matrix. We demonstrate that some spatial weights matrices lead the<br />
absolute value of upper (lower) bound larger than 1 and that others lead the<br />
lower bound larger than -0.5. Thus Moran's I is unlike Pearson's correlation<br />
coefficient. It is also pointed out that some spatial weights matrices do not<br />
allow Moran's I to take positive values regardless of observations. An<br />
alternative measure with exact range [-1,1] is proposed through a monotone<br />
transformation of Moran's I.
- ID情報
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- arXiv ID : arXiv:1501.06260