2009
DOI: 10.1002/bimj.200810495
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Inference Based on Kernel Estimates of the Relative Risk Function in Geographical Epidemiology

Abstract: Kernel smoothing is a popular approach to estimating relative risk surfaces from data on the locations of cases and controls in geographical epidemiology. The interpretation of such surfaces is facilitated by plotting of tolerance contours which highlight areas where the risk is sufficiently high to reject the null hypothesis of unit relative risk. Previously it has been recommended that these tolerance intervals be calculated using Monte Carlo randomization tests. We examine a computationally cheap alternativ… Show more

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Cited by 68 publications
(83 citation statements)
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“…For time interval 2, the area with an increased RR showed a tendency of expansion predominantly to the north. For both time intervals, the clusters (P = 0.001) identified by the spatial scan test were almost congruent with the areas of significantly increased RR according to Hazelton and Davies (2009). The RRs (inside cluster versus outside cluster) of the clusters as determined by the scan statistic were RR = 41.2 (interval 1) and RR = 18.5 (interval 2), respectively.…”
Section: Evaluation Of Spatial Variation In Rrsupporting
confidence: 55%
See 1 more Smart Citation
“…For time interval 2, the area with an increased RR showed a tendency of expansion predominantly to the north. For both time intervals, the clusters (P = 0.001) identified by the spatial scan test were almost congruent with the areas of significantly increased RR according to Hazelton and Davies (2009). The RRs (inside cluster versus outside cluster) of the clusters as determined by the scan statistic were RR = 41.2 (interval 1) and RR = 18.5 (interval 2), respectively.…”
Section: Evaluation Of Spatial Variation In Rrsupporting
confidence: 55%
“…The same bandwidth was used for interpolation of cases as well as all samples (Diggle et al, 1995), with an edge correction performed as proposed previously (Diggle, 1985). Regions with significantly increased RR were detected and highlighted by calculating P-value contour lines as described by Hazelton and Davies (2009). Calculations were performed using the "R" packages map tools, "sm" and "sparr" in R 2.12.2 (R Development Core Team, 2011).…”
Section: Spatio-temporal Evaluation Of Relative Riskmentioning
confidence: 99%
“…Variance estimation and interval estimation of ρ(x) then depend on the distribution of the estimatorB(u) and on the joint distribution of the observations x i withB(·). Examples of this analysis arise in case-control studies in spatial epidemiology [38,43,44].…”
Section: Constant Value ρ(X) ≡ 1 Corresponds To the Baseline Or Null mentioning
confidence: 99%
“…An exception is the special case of spatial relative risk or spatial residual risk where the covariates are the Cartesian coordinates [12,13,25,38,43,44] and/or the time coordinate [28,57]. Nonparametric estimation is important here because simple parametric models are inappropriate, and the sample size is large.…”
Section: Introductionmentioning
confidence: 99%
“…This was done using a procedure based on the calculation of asymptotic P-values assigned to each grid cell of the surface and was based on the Z-test (Hazelton and Davies, 2009). This approach is an alternative to the computationally intensive calculation of point-wise p-values using Monte Carlo simulation (Diggle, 2003;Bivand et al, 2008).…”
Section: Spatial Odds Of CM and Spatial Distribution Of Poor Ud Scorementioning
confidence: 99%