caa a22 4500 465750249 CHVBK 20180323111832.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF01889703 doi (NATIONALLICENCE)springer-10.1007/BF01889703 Approximate analysis of variance of spatially autocorrelated regional data [Elektronische Daten] [Pierre Legendre, Neal Oden, Robert Sokal, Alain Vaudor, Junhyong Kim] The classical method for analysis of variance of data divided in geographic regions is impaired if the data are spatially autocorrelated within regions, because the condition of independence of the observations is not met. Positive autocorrelation reduces within-group variability, thus artificially increasing the relative amount of among-group variance. Negative autocorrelation may produce the opposite effect. This difficulty can be viewed as a loss of an unknown number of degrees of freedom. Such problems can be found in population genetics, in ecology and in other branches of biology, as well as in economics, epidemiology, geography, geology, marketing, political science, and sociology. A computer-intensive method has been developed to overcome this problem in certain cases. It is based on the computation of pooled within-group sums of squares for sampled permutations of internally connected areas on a map. The paper presents the theory, the algorithms, and results obtained using this method. A computer program, written in PASCAL, is available. Springer-Verlag New York Inc, 1990 Analysis of variance nationallicence Choropleth map nationallicence Ecology nationallicence Genetics nationallicence Geography nationallicence Permutation test nationallicence Spatial autocorrelation nationallicence Legendre Pierre Départment de Sciences biologiques, Université de Montréal, Succursale A, C.P. 6128, H3C 3J7, Montréal, Québec, Canada aut Oden Neal Department of Community and Preventive Medicine, Health Sciences Center, State University of New York at Stony Brook, 11794-8036, Stony Brook, New York, U.S.A. aut Sokal Robert Department of Ecology and Evolution, State University of New York at Stony Brook, 11794-5245, Stony Brook, New York, U.S.A. aut Vaudor Alain Départment de Sciences biologiques, Université de Montréal, Succursale A, C.P. 6128, H3C 3J7, Montréal, Québec, Canada aut Kim Junhyong Department of Ecology and Evolution, State University of New York at Stony Brook, 11794-5245, Stony Brook, New York, U.S.A. aut Journal of Classification Springer-Verlag 7/1(1990-03-01), 53-75 0176-4268 7:1<53 1990 7 357 https://doi.org/10.1007/BF01889703 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01889703 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Legendre Pierre Départment de Sciences biologiques, Université de Montréal, Succursale A, C.P. 6128, H3C 3J7, Montréal, Québec, Canada aut NATIONALLICENCE 700 1- Oden Neal Department of Community and Preventive Medicine, Health Sciences Center, State University of New York at Stony Brook, 11794-8036, Stony Brook, New York, U.S.A aut NATIONALLICENCE 700 1- Sokal Robert Department of Ecology and Evolution, State University of New York at Stony Brook, 11794-5245, Stony Brook, New York, U.S.A aut NATIONALLICENCE 700 1- Vaudor Alain Départment de Sciences biologiques, Université de Montréal, Succursale A, C.P. 6128, H3C 3J7, Montréal, Québec, Canada aut NATIONALLICENCE 700 1- Kim Junhyong Department of Ecology and Evolution, State University of New York at Stony Brook, 11794-5245, Stony Brook, New York, U.S.A aut NATIONALLICENCE 773 0- Journal of Classification Springer-Verlag 7/1(1990-03-01), 53-75 0176-4268 7:1<53 1990 7 357 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer