Compositional Tables Analysis in Coordinates
Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Fačevicová, Kamila [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Rechteinformationen: |
Nutzungsrecht: © 2016 Board of the Foundation of the Scandinavian Journal of Statistics |
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| Schlagwörter: |
Aitchison geometry on the simplex |
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| Übergeordnetes Werk: |
Enthalten in: Scandinavian journal of statistics - Oxford : Blackwell, 1974, 43(2016), 4, Seite 962-977 |
|---|---|
| Übergeordnetes Werk: |
volume:43 ; year:2016 ; number:4 ; pages:962-977 |
| Links: |
|---|
| DOI / URN: |
10.1111/sjos.12223 |
|---|
| Katalog-ID: |
OLC1987751337 |
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| 520 | |a Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. | ||
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| 650 | 4 | |a Aitchison geometry on the simplex | |
| 650 | 4 | |a balances | |
| 650 | 4 | |a compositional data | |
| 650 | 4 | |a contingency tables | |
| 650 | 4 | |a isometric log‐ratio transformation | |
| 650 | 4 | |a Macroeconomics | |
| 650 | 4 | |a Studies | |
| 650 | 4 | |a Geometry | |
| 650 | 4 | |a Statistics | |
| 650 | 4 | |a Euclidean space | |
| 650 | 4 | |a Public health | |
| 700 | 1 | |a Hron, Karel |4 oth | |
| 700 | 1 | |a Todorov, Valentin |4 oth | |
| 700 | 1 | |a Templ, Matthias |4 oth | |
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10.1111/sjos.12223 doi PQ20170206 (DE-627)OLC1987751337 (DE-599)GBVOLC1987751337 (PRQ)c1653-ccc3c30d3365429b9edf280dc727dc2e322eeda38d5ecef264c94581267fdbbb0 (KEY)0054008020160000043000400962compositionaltablesanalysisincoordinates DE-627 ger DE-627 rakwb eng 310 DNB 31.73 bkl Fačevicová, Kamila verfasserin aut Compositional Tables Analysis in Coordinates 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. Nutzungsrecht: © 2016 Board of the Foundation of the Scandinavian Journal of Statistics Aitchison geometry on the simplex balances compositional data contingency tables isometric log‐ratio transformation Macroeconomics Studies Geometry Statistics Euclidean space Public health Hron, Karel oth Todorov, Valentin oth Templ, Matthias oth Enthalten in Scandinavian journal of statistics Oxford : Blackwell, 1974 43(2016), 4, Seite 962-977 (DE-627)129401986 (DE-600)186702-7 (DE-576)014784009 0303-6898 nnns volume:43 year:2016 number:4 pages:962-977 http://dx.doi.org/10.1111/sjos.12223 Volltext http://onlinelibrary.wiley.com/doi/10.1111/sjos.12223/abstract http://search.proquest.com/docview/1836942784 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2015 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4311 31.73 AVZ AR 43 2016 4 962-977 |
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10.1111/sjos.12223 doi PQ20170206 (DE-627)OLC1987751337 (DE-599)GBVOLC1987751337 (PRQ)c1653-ccc3c30d3365429b9edf280dc727dc2e322eeda38d5ecef264c94581267fdbbb0 (KEY)0054008020160000043000400962compositionaltablesanalysisincoordinates DE-627 ger DE-627 rakwb eng 310 DNB 31.73 bkl Fačevicová, Kamila verfasserin aut Compositional Tables Analysis in Coordinates 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. Nutzungsrecht: © 2016 Board of the Foundation of the Scandinavian Journal of Statistics Aitchison geometry on the simplex balances compositional data contingency tables isometric log‐ratio transformation Macroeconomics Studies Geometry Statistics Euclidean space Public health Hron, Karel oth Todorov, Valentin oth Templ, Matthias oth Enthalten in Scandinavian journal of statistics Oxford : Blackwell, 1974 43(2016), 4, Seite 962-977 (DE-627)129401986 (DE-600)186702-7 (DE-576)014784009 0303-6898 nnns volume:43 year:2016 number:4 pages:962-977 http://dx.doi.org/10.1111/sjos.12223 Volltext http://onlinelibrary.wiley.com/doi/10.1111/sjos.12223/abstract http://search.proquest.com/docview/1836942784 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2015 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4311 31.73 AVZ AR 43 2016 4 962-977 |
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10.1111/sjos.12223 doi PQ20170206 (DE-627)OLC1987751337 (DE-599)GBVOLC1987751337 (PRQ)c1653-ccc3c30d3365429b9edf280dc727dc2e322eeda38d5ecef264c94581267fdbbb0 (KEY)0054008020160000043000400962compositionaltablesanalysisincoordinates DE-627 ger DE-627 rakwb eng 310 DNB 31.73 bkl Fačevicová, Kamila verfasserin aut Compositional Tables Analysis in Coordinates 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. Nutzungsrecht: © 2016 Board of the Foundation of the Scandinavian Journal of Statistics Aitchison geometry on the simplex balances compositional data contingency tables isometric log‐ratio transformation Macroeconomics Studies Geometry Statistics Euclidean space Public health Hron, Karel oth Todorov, Valentin oth Templ, Matthias oth Enthalten in Scandinavian journal of statistics Oxford : Blackwell, 1974 43(2016), 4, Seite 962-977 (DE-627)129401986 (DE-600)186702-7 (DE-576)014784009 0303-6898 nnns volume:43 year:2016 number:4 pages:962-977 http://dx.doi.org/10.1111/sjos.12223 Volltext http://onlinelibrary.wiley.com/doi/10.1111/sjos.12223/abstract http://search.proquest.com/docview/1836942784 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2015 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4311 31.73 AVZ AR 43 2016 4 962-977 |
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10.1111/sjos.12223 doi PQ20170206 (DE-627)OLC1987751337 (DE-599)GBVOLC1987751337 (PRQ)c1653-ccc3c30d3365429b9edf280dc727dc2e322eeda38d5ecef264c94581267fdbbb0 (KEY)0054008020160000043000400962compositionaltablesanalysisincoordinates DE-627 ger DE-627 rakwb eng 310 DNB 31.73 bkl Fačevicová, Kamila verfasserin aut Compositional Tables Analysis in Coordinates 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. Nutzungsrecht: © 2016 Board of the Foundation of the Scandinavian Journal of Statistics Aitchison geometry on the simplex balances compositional data contingency tables isometric log‐ratio transformation Macroeconomics Studies Geometry Statistics Euclidean space Public health Hron, Karel oth Todorov, Valentin oth Templ, Matthias oth Enthalten in Scandinavian journal of statistics Oxford : Blackwell, 1974 43(2016), 4, Seite 962-977 (DE-627)129401986 (DE-600)186702-7 (DE-576)014784009 0303-6898 nnns volume:43 year:2016 number:4 pages:962-977 http://dx.doi.org/10.1111/sjos.12223 Volltext http://onlinelibrary.wiley.com/doi/10.1111/sjos.12223/abstract http://search.proquest.com/docview/1836942784 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2015 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4311 31.73 AVZ AR 43 2016 4 962-977 |
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Compositional Tables Analysis in Coordinates |
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Compositional Tables Analysis in Coordinates |
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Fačevicová, Kamila |
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compositional tables analysis in coordinates |
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Compositional Tables Analysis in Coordinates |
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Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. |
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Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. |
| abstract_unstemmed |
Compositional tables – a continuous counterpart to the contingency tables – carry relative information about relationships between row and column factors; thus, for their analysis, only ratios between cells of a table are informative. Consequently, the standard Euclidean geometry should be replaced by the Aitchison geometry on the simplex that enables decomposition of the table into its independent and interactive parts. The aim of the paper is to find interpretable coordinate representation for independent and interaction tables (in sense of balances and odds ratios of cells, respectively), where further statistical processing of compositional tables can be performed. Theoretical results are applied to real‐world problems from a health survey and in macroeconomics. |
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Compositional Tables Analysis in Coordinates |
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