smerc (version 1.8.3)

tango.stat: Tango's statistic

Description

tango.stat computes Tango's index (Tango, 1995), including both the goodness-of-fit and spatial autocorrelation components. See Waller and Gotway (2005).

Usage

tango.stat(cases, pop, w)

Value

Returns a list with the test statistic (tstat), the goodness-of-fit component (gof), and the spatial autocorrelation component (sa).

Arguments

cases

The number of cases observed in each region.

pop

The population size associated with each region.

w

An \(n \times n\) weights matrix.

Author

Joshua French

References

Tango, T. (1995) A class of tests for detecting "general" and "focused" clustering of rare diseases. Statistics in Medicine. 14:2323-2334.

Waller, L.A. and Gotway, C.A. (2005). Applied Spatial Statistics for Public Health Data. Hoboken, NJ: Wiley.

Examples

data(nydf)
coords <- as.matrix(nydf[, c("longitude", "latitude")])
w <- dweights(coords, kappa = 1, type = "tango", longlat = TRUE)
tango.stat(nydf$cases, nydf$pop, w)