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A Spatial Analysis of Variance Applied to Soil-Water Infiltration

Journal Article


Abstract


  • A spatial analysis of variance uses the spatial dependence among the observations to modify the usual inference procedures associated with a statistical linear model. When spatial correlation is present, the usual tests for presence of treatment effects may no longer be valid, and erroneous conclusions may result from assuming that the usual F ratios are F distributed. This is demonstrated using a spatial analysis of soil‐water infiltration data. Emphasis is placed on modeling the spatial dependence structure with geostatistical techniques, and this spatial dependence structure is then used to test hypotheses about fixed effects using a nested linear model. Copyright 1990 by the American Geophysical Union.

Publication Date


  • 1990

Citation


  • Gotway, C. A., & Cressie, N. A. C. (1990). A Spatial Analysis of Variance Applied to Soil-Water Infiltration. Water Resources Research, 26(11), 2695-2703. doi:10.1029/WR026i011p02695

Scopus Eid


  • 2-s2.0-0025658981

Start Page


  • 2695

End Page


  • 2703

Volume


  • 26

Issue


  • 11

Abstract


  • A spatial analysis of variance uses the spatial dependence among the observations to modify the usual inference procedures associated with a statistical linear model. When spatial correlation is present, the usual tests for presence of treatment effects may no longer be valid, and erroneous conclusions may result from assuming that the usual F ratios are F distributed. This is demonstrated using a spatial analysis of soil‐water infiltration data. Emphasis is placed on modeling the spatial dependence structure with geostatistical techniques, and this spatial dependence structure is then used to test hypotheses about fixed effects using a nested linear model. Copyright 1990 by the American Geophysical Union.

Publication Date


  • 1990

Citation


  • Gotway, C. A., & Cressie, N. A. C. (1990). A Spatial Analysis of Variance Applied to Soil-Water Infiltration. Water Resources Research, 26(11), 2695-2703. doi:10.1029/WR026i011p02695

Scopus Eid


  • 2-s2.0-0025658981

Start Page


  • 2695

End Page


  • 2703

Volume


  • 26

Issue


  • 11