Open AccessNonparametric test for spatial geometric anisotropy
Author(s) -
Kęstutis Dučinskas,
Lina Dreižienė
Publication year - 2010
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2010.72
Subject(s) - test statistic , nonparametric statistics , mathematics , estimator , variogram , gaussian , statistics , statistic , isotropy , independence (probability theory) , anisotropy , goldfeld–quandt test , statistical hypothesis testing , z test , kriging , physics , quantum mechanics
Paper deals with a problem of testing isotropy against geometric anisotropy for Gaussian spatial data. The original simple test statistic based on directional empirical semivariograms is proposed. Under the assumption of independence of the classical semivariogram estimators and for increasing domain asymptotics, the distribution of test statistics is approximated by chi-squared distribution. The simulation experiments demonstrate the efficacy of the proposed test.