| SHORT COMMUNICATION THE RELATIONSHIP OF CLOSURE,MEAN CENTERING AND MATRIX RANK INTERPRETATION |
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| 作者姓名： | RANDYJ.PELL MARYBETHSEASHOLTZ BRUCER.KOWALSKI |
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| 作者单位： | Laboratory for Chemometrics Center for Process Analytical Chemistry，Department of Chemistry，University of Washington，Seattle，WA 98195，U.S.A.，Laboratory for Chemometrics，Center for Process Analytical Chemistry，Department of Chemistry，University of Washington，Seattle，WA 98195，U.S.A.，Laboratory for Chemometrics，Center for Process Analytical Chemistry，Department of Chemistry，University of Washington，Seattle，WA 98195，U.S.A.，Present address:Analytical Sciences Laboratory，The Dow Chemical Company，1897D，Midland，MI 48667，U.S.A.Author to whom correspondence should be addressed. |
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| 摘 要： | This paper describes an investigation into the relationship of closure,a baseline offset and mean centeringto the interpretation of matrix rank.The equivalence of a certain type of closure to a constant baseline(i.e.a simple numerical offset which may vary between response channels but is constant over all samples)is demonstrated.A systematic approach to the interpretation of the rank of a matrix is given.
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SHORT COMMUNICATION THE RELATIONSHIP OF CLOSURE,MEAN CENTERING AND MATRIX RANK INTERPRETATION |
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| RANDYJ.PELL,MARYBETHSEASHOLTZ,BRUCER.KOWALSKI.SHORT COMMUNICATION THE RELATIONSHIP OF CLOSURE,MEAN CENTERING AND MATRIX RANK INTERPRETATION[J].Journal of Geographical Sciences,1992(1). |
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| Authors: | RANDY JPELL MARY BETH SEASHOLTZ BRUCE RKOWALSKI Laboratory for Chemometrics Center for Process Analytieal Chemistry |
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| Institution: | RANDY J.PELL~ MARY BETH SEASHOLTZ BRUCE R.KOWALSKI~ Laboratory for Chemometrics,Center for Process Analytieal Chemistry,Department of Chemistry,University of Washington,Seattle,WA,U.S.A. ~ Present address:Analytical Sciences Laboratory,The Dow Chemical Company,D,Midlan,MI,U.S.A.~ Author to whom correspondence should be addressed. |
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| Abstract: | This paper describes an investigation into the relationship of closure,a baseline offset and mean centering to the interpretation of matrix rank.The equivalence of a certain type of closure to a constant baseline (i.e.a simple numerical offset which may vary between response channels but is constant over all samples) is demonstrated.A systematic approach to the interpretation of the rank of a matrix is given. |
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| Keywords: | Closure Baseline Mean centering Rank Exploratory data analysis |
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