|
Group: I
have an idea for designing a flexible weighting matrix for my county level
data. In many of the texts on lattice analysis, I have found or rather
not found any standard techniques of defining a neighborhood for irregular lattices.
In regular lattices we have Rook, Queen, Bishop, etc. configurations. My
thought is: given a spatial weight matrix, for example 0 1 0 0.5 X 0.5 0 1 0 Where the weighting is different horizontally than
vertically. Can an adaptive weighting matrix be made that switches the
direction of main weights (say 1) and minimum weights (say 0.5), based on a
property of location X? For instance, looking at counties for a given state. Say
each county has a main road traveling through it at some direction. I
would assume the county to county influence would be aligned with the
road. So take two counties A and B; A has a main road running north to
south and B has a main road running east and west, can I build a weighting
scheme that For A 0 1 0 0.5 X 0.5 0 1 0 For B 0 0.5 0 1 X 1 0 0.5 0 Where the weighting scheme is dependent on the direction of the
main road? Who you think this violates the idea of translation
invariance? Dean Monroe OSU Environmental Sciences |
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