TY - JOUR
T1 - Nearest neighbor analysis of point processes
T2 - Applications to multidimensional scaling
AU - Tversky, Amos
AU - Rinott, Yosef
AU - Newman, Charles M.
N1 - Funding Information:
by NSF Grant MCS-79-24310, by NSF Grant MCS-80.19384.
PY - 1983/9
Y1 - 1983/9
N2 - A new approach for evaluating spatial statistical models based on the (random) number 0 ≤ N(i, n) ≤ n of points whose nearest neighbor is i in an ensemble of n + 1 points is discussed. The second moment of N(i, n) offers a measure of the centrality of the ensemble. The asymptotic distribution of N(i, n) and the expected degree of centrality for several spatial and nonspatial point processes is described. The use of centrality as a diagnostic statistic for multidimensional scaling is explored.
AB - A new approach for evaluating spatial statistical models based on the (random) number 0 ≤ N(i, n) ≤ n of points whose nearest neighbor is i in an ensemble of n + 1 points is discussed. The second moment of N(i, n) offers a measure of the centrality of the ensemble. The asymptotic distribution of N(i, n) and the expected degree of centrality for several spatial and nonspatial point processes is described. The use of centrality as a diagnostic statistic for multidimensional scaling is explored.
UR - http://www.scopus.com/inward/record.url?scp=0010824521&partnerID=8YFLogxK
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U2 - 10.1016/0022-2496(83)90008-1
DO - 10.1016/0022-2496(83)90008-1
M3 - Article
AN - SCOPUS:0010824521
SN - 0022-2496
VL - 27
SP - 235
EP - 250
JO - Journal of Mathematical Psychology
JF - Journal of Mathematical Psychology
IS - 3
ER -