2005
DOI: 10.1111/j.1467-8306.2005.00484.x
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Effective Geographic Sample Size in the Presence of Spatial Autocorrelation

Abstract: As spatial autocorrelation latent in georeferenced data increases, the amount of duplicate information contained in these data also increases. This property suggests the research question asking what the number of independent observations, say n*, is that is equivalent to the sample size, n, of a data set. This is the notion of effective sample size. Intuitively speaking, when zero spatial autocorrelation prevails, n* = n; when perfect positive spatial autocorrelation prevails in a univariate regional mean pro… Show more

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Cited by 168 publications
(143 citation statements)
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“…The distance separating the two points, noted ij d , can be calculated using the Pythagorean theorem (Equation (1)) 3 .…”
Section: Building An Appropriate Weights Matrixmentioning
confidence: 99%
See 1 more Smart Citation
“…The distance separating the two points, noted ij d , can be calculated using the Pythagorean theorem (Equation (1)) 3 .…”
Section: Building An Appropriate Weights Matrixmentioning
confidence: 99%
“…Its complexity explains why spatial autocorrelation has received such attention since spatial data are now widely available and used. Spatial autocorrelation among residuals of a statistical model can have various consequences on estimated coefficients and variances, depending on sample size [3]- [5].…”
Section: Introductionmentioning
confidence: 99%
“…With the recent advances and improvements in GIS applications and the ensuing infusion of other associated statistical packages into geographical software, models have been developed to account for spatial autocorrelation (Cliff and Ord, 1973;Getis, 1992, 1998;Bailey and Gatrell, 1995;Griffith, 2006;Yu and Wei, 2008). The application of these techniques specifically for studies of mosquito-borne diseases has attracted increasing attention (Li et al, 2008;Feng et al, 2011;Impoinvil et al, 2011).…”
Section: Introductionmentioning
confidence: 99%
“…Map of Australia with the study area highlighted using dark and light shades. might lead to unreliable estimates and potentially misleading inferences (Cliff and Ord, 1973;Anselin and Getis, 1992;Bailey and Gatrell, 1995;Anselin and Bera, 1998;Griffith, 2006;Yu and Wei, 2008).…”
Section: Introductionmentioning
confidence: 99%
“…We instead estimate n * using an approach based on Griffith (2005), an approach that does not require computing V −1 directly:…”
mentioning
confidence: 99%