SpatialEpi: eBayes – R documentation

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eBayes

Empirical Bayes Estimates of Relative Risk

Description

The computes empirical Bayes estimates of relative risk of study region with n areas, given observed and expected numbers of counts of disease and covariate information.

Usage

eBayes(Y, E, Xmat = NULL)

Arguments

`Y`	a length `n` vector of observed cases
`E`	a length `n` vector of expected number of cases
`Xmat`	`n x p` dimension matrix of covariates

Value

A list with 5 elements:

`RR`	the ecological relative risk posterior mean estimates
`RRmed`	the ecological relative risk posterior mean estimates
`beta`	the MLE's of the regression coefficients
`alpha`	the MLE of negative binomial dispersion parameter
`SMR`	the standardized mortality/morbidity ratio Y/E

References

Clayton D. and Kaldor J. (1987) Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics, 43, 671–681

Examples

data(scotland)
data <- scotland$data

x <- data$AFF
Xmat <- cbind(x,x^2)
results <- eBayes(data$cases,data$expected,Xmat)

scotland.map <- scotland$spatial.polygon
mapvariable(results$RR, scotland.map)

SpatialEpi

Methods and Data for Spatial Epidemiology

v1.2.3

GPL-2

Authors

Cici Chen [ctb], Albert Y. Kim [aut, cre], Michelle Ross [ctb], Jon Wakefield [aut]

Initial release