Centroids, Clusters and Crime: Anchoring the Geographic Profiles of ...

Team # 7507 Page 35
these effectiveness multipliers κ m,c
M , where κm M indicates the multiplier for the cluster method
and κ c M the centroid method. Also denote κm,c
M
as the mean of κm,c 4 , ..., κ m,c
M
. In Figure 15 we
see κ c M and κm M for Offender C. In Figure 16 we see κm M and κc M for Offender C.
Figure 15: Running Mean of Effectiveness Multiplier
Figure 16: Effectiveness Multiplier vs. Crime Predicted
We now determine if either of our methods recognizes a geographic trend. To do this,
denote a c as the number of κ c M that are less than 1 and similarly denote a m as the number of
κ m M that are less than 1. If a c > N−4
2
we state the our centroid method is invalid, and similarly