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Further Study on the Statistical Test to Detect Spatial Pattern
Author(s) -
Ping Sun
Publication year - 1995
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710370211
Subject(s) - poisson distribution , mathematics , independent and identically distributed random variables , statistics , index of dispersion , chi square test , pearson's chi squared test , statistic , statistical hypothesis testing , contingency table , test statistic , scan statistic , random variable , poisson regression , population , demography , sociology
Abstract In the study of spatial patterns, the statistic I ' = ( n — 1) s 2 / x was commonly used. In this paper, we found that x — s 2 has an approximated normal distribution with zero mean if the x i 's ( i = 1 to n ) are independent identically distributed Poisson variables. Based on this conclusion, the hypothesis that a point pattern is completely random can be tested directly. And a method for the test of spatial patterns was proposed which can be sued as an alternative to the Chi‐square based dispersion index test.