N. Oden et al., REALISTIC POWER SIMULATIONS COMPARE POINT-BASED AND AREA-BASED DISEASE CLUSTER TESTS, Statistics in medicine, 15(7-9), 1996, pp. 783-806
One can roughly divide disease cluster tests into area-based (using re
gional data) and point-based (using exact locations). We have compared
the power of two area-based methods (Moran's I and I(pop), a new met
hod) to that of two point-based methods (the Cuzick-Edwards test and G
rimson's test), using three realistic simulations of disease (fox rabi
es in England, childhood leukaemia in North Humberside, England, and L
yme disease in Georgia). The naive belief that point-based methods sho
uld be better is not supported: for the complex data simulated here, I
(pop) and the Cuzick-Edwards test had higher power than Grimson's met
hod or Moran's I. I(pop), capitalizes on high inter-region variabilit
y, while Moran's I cannot.