Volume 18, Issue 16
Research Article

A new proposal to adjust Moran's I for population density

Renato M. Assunção

Corresponding Author

E-mail address: assuncao@est.ufmg.br

Departamento de Estatística e CEDEPLAR, UFMG – Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte, MG 30161 – 970, Brazil

Departamento de Estatística e CEDEPLAR, UFMG – Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte, MG 30161 – 970, BrazilSearch for more papers by this author
Edna A. Reis

Departamento de Estatística e CEDEPLAR, UFMG – Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte, MG 30161 – 970, Brazil

Search for more papers by this author

Abstract

We analyse the effect of using prevalence rates based on populations with different sizes in the power of spatial independence tests. We compare the well known spatial correlation Moran's index to three indexes obtained after adjusting for population density, one proposed by Oden, another proposed by Waldhör, and a third proposed by us in this paper. We find an effect of spatially correlated populations in the type I error probability on the test based on Moran's and Waldhör's indexes. We conclude also that the test proposed by Oden is powerful to test risk heterogeneity, but it has disadvantages when the interest is solely on the spatial correlation of morbidity risks. In this latter case, we recommend using our proposed test which is more powerful than the usual Moran's index applied directly to the rates. Copyright © 1999 John Wiley & Sons, Ltd.

Number of times cited according to CrossRef: 120

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