Compositional data analysis in practice:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Florida
CRC Press
[2018]
|
| Series: | Chapman & Hall/CRC interdisciplinary statistics series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xiv, 121 Seiten Illustrationen, Diagramme |
| ISBN: | 9781138316614 9781138316430 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV045531768 | ||
| 003 | DE-604 | ||
| 005 | 20190506 | ||
| 007 | t | ||
| 008 | 190327s2018 xxua||| |||| 00||| eng d | ||
| 010 | |a 018017447 | ||
| 020 | |a 9781138316614 |9 978-1-138-31661-4 | ||
| 020 | |a 9781138316430 |9 978-1-138-31643-0 | ||
| 020 | |c 9780429455537 (e-book) | ||
| 035 | |a (OCoLC)1099483567 | ||
| 035 | |a (DE-599)BVBBV045531768 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-739 | ||
| 050 | 0 | |a QA76.9.Q36 | |
| 082 | 0 | |a 001.4/2 |2 23 | |
| 084 | |a SK 850 |0 (DE-625)143263: |2 rvk | ||
| 100 | 1 | |a Greenacre, Michael J. |d 1951- |0 (DE-588)170432300 |4 aut | |
| 245 | 1 | 0 | |a Compositional data analysis in practice |c by Michael Greenacre |
| 264 | 1 | |a Boca Raton, Florida |b CRC Press |c [2018] | |
| 300 | |a xiv, 121 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Chapman & Hall/CRC interdisciplinary statistics series | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Quantitative research | |
| 650 | 4 | |a Principal components analysis | |
| 650 | 4 | |a Electronic data processing | |
| 650 | 0 | 7 | |a Statistik |0 (DE-588)4056995-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Statistik |0 (DE-588)4056995-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030915862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030915862 | ||
Record in the Search Index
| _version_ | 1804179490841034752 |
|---|---|
| adam_text | Contents 1 2 Preface................................................................................................. xi What are compositional data, and why are they special?............................................................... 1 1.1 1.2 1.3 1.4 1.5 1 2 3 5 6 Geometry and visualization of compositional data .......................................................................... 2.1 2.2 2.3 2.4 3 4 Examples of compositional data.............................................. Why are compositional data different from other types of data? Basic terminology and notation in compositional data analysis Basic principles of compositional data analysis ........................ Ratios and logratios............................................. ....................... 9 Simple graphics .................................. ....................................... Geometry in a simplex ............................................................... Moving out of the simplex........................................................... Distances between points in logratio space ............................. 9 12 14 15 Logratio transformations................................................................. 17 3.1 3.2 3.3 3.4 3.5 3.6 Additive logratio transformations ............................................... Centred logratio transformations ....................... ............... Logratios incorporating amalgamations .................................. Isometric logratio transformations............................................. Comparison of logratios in
practice........................................... Practical interpretation of logratios ........................................... 17 18 19 19 21 23 Properties and distributions of logratios...................................... 25 4.1 4.2 4.3 4.4 25 27 27 28 Lognormal distribution................................................ Logit function............................................................................... Additive logistic normal distribution........................................... Logratio variances and covariances ......................................... ѴІІ
viii Contents 4.5 4.6 5 б 7 8 9 Testing for multivariate normality................................................ 30 When logratios are not normal................................................... 31 Regression models involving compositional data..................... 33 5.1 5.2 5.3 5.4 Visualizing ratios as a graph...................................................... Using simple logratios as predictors.......................................... Compositions as responses - total logratio variance............... Redundancy analysis ................................................................. 33 34 37 39 Dimension reduction using logratio analysis............................... 41 6.1 6.2 6.3 6.4 Weighted principal component analysis.................................... Logratio analysis.......................................................................... Different biplot scaling options................................................... Constrained compositional biplots............................................. 41 42 44 46 Clustering of compositional data................................................... 49 7.1 7.2 7.3 7.4 Logratio distances between rows and between columns......... Clustering based on logratio distances...................................... Weighted Ward clustering .................................... .................... Isometric logratio versus amalgamation balances.................... 49 50 50 53 Problem of zeros, with some solutions.......................................... 57 8.1 8.2 8.3 8.4 Zero
replacement........................................................................ Sensitivity to zero replacement................................................... Subcompositional incoherence................................................... Correspondence analysis alternative........................................ 57 58 59 60 Simplifying the task: variable selection........................................ 65 9.1 9.2 9.3 9.4 9.5 65 66 68 70 70 Explaining total logratio variance............................................... Stepwise selection of logratios................................................... Parsimonious variable selection................................................. Amalgamation logratios as variables for selection.................... Signal and noise in compositional data.................................... 10 Case study: Fatty acids of marine amphipods................................................... 73 10.1 10.2 10.3 10.4 Introduction .................................................................................. Material and methods................................................................. Results ......................................................................................... Discussion and conclusion.......................................................... 73 74 75 80
Contents A IX Appendix: Theory of compositional data analysis...................... 81 A.l Basic notation......................................................................... A.2 Ratios and logratios................................................................ A.3 Logratio distance ....................................................................... A.4 Logratio variance....................................................................... A.5 Logratio analysis (LRA).............................................................. A.6 Principal componentanalysis (PCA)......................................... A.7 Procrustes analysis.................................................................... A.8 Constrained logratioanalysis and redundancy analysis.......... A.9 Permutation tests........................................................................ A.10 Weighted Ward clustering .......................................................... В Appendix: Bibliography of compositional data analysis........... 91 B.l В .2 B.3 C 81 82 85 85 86 87 88 89 89 90 Books........................................................................................... 91 Articles ....................................................................................... 92 Web resources ........................................................................... 95 Appendix: Computation of compositional data analysis........... 97 C.l C.2 C.3 C.4 Simple graphics for compositional data................................... 97 Logratio
transformations............................................................ 98 Compositional data modelling.....................................................102 Compositional data analytics.......................................................103 D Appendix: Glossary of terms....................................................... Ill E Appendix: Epilogue .......................................................................... 115 Index 119
|
| any_adam_object | 1 |
| author | Greenacre, Michael J. 1951- |
| author_GND | (DE-588)170432300 |
| author_facet | Greenacre, Michael J. 1951- |
| author_role | aut |
| author_sort | Greenacre, Michael J. 1951- |
| author_variant | m j g mj mjg |
| building | Verbundindex |
| bvnumber | BV045531768 |
| callnumber-first | Q - Science |
| callnumber-label | QA76 |
| callnumber-raw | QA76.9.Q36 |
| callnumber-search | QA76.9.Q36 |
| callnumber-sort | QA 276.9 Q36 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 850 |
| ctrlnum | (OCoLC)1099483567 (DE-599)BVBBV045531768 |
| dewey-full | 001.4/2 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 001 - Knowledge |
| dewey-raw | 001.4/2 |
| dewey-search | 001.4/2 |
| dewey-sort | 11.4 12 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Allgemeines Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01677nam a2200445 c 4500</leader><controlfield tag="001">BV045531768</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190506 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">190327s2018 xxua||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">018017447</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781138316614</subfield><subfield code="9">978-1-138-31661-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781138316430</subfield><subfield code="9">978-1-138-31643-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="c">9780429455537 (e-book)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1099483567</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045531768</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA76.9.Q36</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">001.4/2</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 850</subfield><subfield code="0">(DE-625)143263:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Greenacre, Michael J.</subfield><subfield code="d">1951-</subfield><subfield code="0">(DE-588)170432300</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Compositional data analysis in practice</subfield><subfield code="c">by Michael Greenacre</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton, Florida</subfield><subfield code="b">CRC Press</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 121 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Chapman & Hall/CRC interdisciplinary statistics series</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantitative research</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Principal components analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electronic data processing</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030915862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030915862</subfield></datafield></record></collection> |
| id | DE-604.BV045531768 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:20:42Z |
| institution | BVB |
| isbn | 9781138316614 9781138316430 |
| language | English |
| lccn | 018017447 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030915862 |
| oclc_num | 1099483567 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | xiv, 121 Seiten Illustrationen, Diagramme |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Chapman & Hall/CRC interdisciplinary statistics series |
| spelling | Greenacre, Michael J. 1951- (DE-588)170432300 aut Compositional data analysis in practice by Michael Greenacre Boca Raton, Florida CRC Press [2018] xiv, 121 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC interdisciplinary statistics series Includes bibliographical references and index Quantitative research Principal components analysis Electronic data processing Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030915862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greenacre, Michael J. 1951- Compositional data analysis in practice Quantitative research Principal components analysis Electronic data processing Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 |
| title | Compositional data analysis in practice |
| title_auth | Compositional data analysis in practice |
| title_exact_search | Compositional data analysis in practice |
| title_full | Compositional data analysis in practice by Michael Greenacre |
| title_fullStr | Compositional data analysis in practice by Michael Greenacre |
| title_full_unstemmed | Compositional data analysis in practice by Michael Greenacre |
| title_short | Compositional data analysis in practice |
| title_sort | compositional data analysis in practice |
| topic | Quantitative research Principal components analysis Electronic data processing Statistik (DE-588)4056995-0 gnd |
| topic_facet | Quantitative research Principal components analysis Electronic data processing Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030915862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT greenacremichaelj compositionaldataanalysisinpractice |