Point_Pattern_Talk

Point_Pattern_Talk - A SCALE-SENSITIVE TEST OF ATTRACTION...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A SCALE-SENSITIVE TEST OF ATTRACTION AND REPULSION BETWEEN SPATIAL POINT PATTERNS Tony E. Smith University of Pennsylvania • Diggle-Cox Test • Lotwick-Hartwick Test • A Combined Test • Selected Applications 100 S Point Patterns: 1 1 1 { : 1,.., } i X x i n = = ⊂ S 2 2 2 { : 1,.., } i X x i n = = ⊂ S generated by independent processes 1 2 : , H X X Diggle-Cox Test: { : 1,.., } j Z z j N = = ⊂ = S random reference point ij d = distance from to nearest neighbor in j z i X ( : 1,.., ) i ij D d j N = = = distance profile for i X 12 1 2 ( , ) D D τ = τ = rank correlation between and 1 D 2 D under 12 ~ Normal τ H Attraction Repulsion 100 Repulsion-Attraction Model 1 X random 1 2 1 2 ( , ) i i r d x x r ≤ ≤ 2 1 1 ( , ) i d x X r ≥ Diggle-Cox Test: significant repulsion Lotwick-Silverman Test: Global Attraction not detectable ⇒ • Make Mosaic of • Random Shifts of 1 X 2 X ⇒ Marginal Processes are preserved ....
View Full Document

This note was uploaded on 09/14/2011 for the course ESE 502 taught by Professor Ese502 during the Fall '08 term at UPenn.

Page1 / 13

Point_Pattern_Talk - A SCALE-SENSITIVE TEST OF ATTRACTION...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online