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On A Statistical Test to Detect Spatial Pattern
Author(s) -
Sun Ping,
Hughes G.
Publication year - 1994
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.4710360616
Subject(s) - statistics , mathematics , poisson distribution , index of dispersion , null hypothesis , statistical hypothesis testing , statistic , test statistic , z test , null distribution , sampling distribution , sample (material) , poisson regression , population , demography , chemistry , chromatography , sociology
In the analysis of spatial patterns, the most extensively used index of dispersion is s 2 / m in which s 2 and m are respectively the sample variance and sample mean of the count x in each sample unit. For statistical testing, the statistic I ' = ( n — 1) s 2 / m has been introduced since it has an approximate X 2 n −1distribution under the null hypothesis that individuals are distributed randomly. The main problem with the use of index I' is that the random distribution and the superdispersed distribution are not distinguished. In this paper, we have tried to induce a new statistical method for the detection of spatial pattern, based on the special characteristic of Poisson distribution that both of the m and s 2 are the unbiased estimates of the parameter.