Premium
Temporal Analogues to Spatial K Functions
Author(s) -
Can Ann,
Cressie Noel
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.4710370309
Subject(s) - estimator , pairwise comparison , randomness , statistic , mathematics , statistics , function (biology) , test statistic , statistical hypothesis testing , sufficient statistic , algorithm , computer science , evolutionary biology , biology
In this article, the spatial statistic known as the K function is adapted for temporal processes and patterns. The (optimal) K ‐function estimator is used in a testing procedure to determine whether behavior patterns of exposed rats versus control rats are different. Specifically, the temporal analogue to the K function is given and an approximately optimal estimator is developed. Next, a testing procedure, to determine whether a group of point patterns is generated from complete temporal randomness, is given. Finally, a testing procedure, to compare pairwise two groups of point patterns to each other, is given. The testing procedures are illustrated with rat‐behavior data from both a control‐control experiment as well as an exposed‐control experiment, where in the latter case a difference in behavior is known to exist.