{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T21:45:13Z","timestamp":1778708713786,"version":"3.51.4"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,7,1]],"date-time":"2016-07-01T00:00:00Z","timestamp":1467331200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Classif"],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1007\/s00357-016-9207-5","type":"journal-article","created":{"date-parts":[[2016,8,1]],"date-time":"2016-08-01T08:16:50Z","timestamp":1470039410000},"page":"243-261","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":39,"title":["Improved Classification for Compositional Data Using the \u03b1-transformation"],"prefix":"10.1007","volume":"33","author":[{"given":"Michail","family":"Tsagris","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simon","family":"Preston","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew T. A.","family":"Wood","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,8,1]]},"reference":[{"key":"9207_CR1","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1111\/j.2517-6161.1982.tb01195.x","volume":"44","author":"J Aitchison","year":"1982","unstructured":"AITCHISON, J. (1982), \u201cThe Statistical Analysis of Compositional Data\u201d, Journal of the Royal Statistical Society: Series B, 44, 139\u2013177.","journal-title":"Journal of the Royal Statistical Society: Series B"},{"key":"9207_CR2","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1093\/biomet\/70.1.57","volume":"70","author":"J Aitchison","year":"1983","unstructured":"AITCHISON, J. (1983), \u201cPrincipal Component Analysis of Compositional Data\u201d, Biometrika, 70, 57\u201365.","journal-title":"Biometrika"},{"key":"9207_CR3","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/BF00891269","volume":"24","author":"J Aitchison","year":"1992","unstructured":"AITCHISON, J. (1992), \u201cOn Criteria for Measures of Compositional Difference\u201d, Mathematical Geology, 24, 365\u2013379.","journal-title":"Mathematical Geology"},{"key":"9207_CR4","volume-title":"The Statistical Analysis of Compositional Data (reprinted with additional material by The Blackburn Press)","author":"J Aitchison","year":"2003","unstructured":"AITCHISON, J. (2003), The Statistical Analysis of Compositional Data (reprinted with additional material by The Blackburn Press), London, UK: Chapman & Hall."},{"key":"9207_CR5","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1023\/A:1007529726302","volume":"32","author":"J AITCHISON","year":"2000","unstructured":"AITCHISON, J., BARCELO-VIDAL, C., MARTIN-FERNANDEZ, J.A., and PAWLOWSKY-GLAHN, V. (2000), \u201cLogratio Analysis and Compositional Distance\u201d, Mathematical Geology, 32, 271\u2013275.","journal-title":"Mathematical Geology"},{"key":"9207_CR6","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1111\/1475-4754.00008","volume":"43","author":"MJ BAXTER","year":"2001","unstructured":"BAXTER,M.J. (2001), \u201cStatistical Modelling of Artefact Compositional Data\u201d, Archaeometry, 43, 131\u2013147.","journal-title":"Archaeometry"},{"key":"9207_CR7","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/s11004-005-1308-3","volume":"37","author":"MJ BAXTER","year":"2005","unstructured":"BAXTER,M.J., BEARDAH, C. C., COOL, H. E.M., and JACKSON, C. M. (2005), \u201cCompositional Data Analysis of Some Alkaline Glasses\u201d, Mathematical Geology, 37, 183\u2013196.","journal-title":"Mathematical Geology"},{"key":"9207_CR8","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1111\/j.1475-4754.2006.00270.x","volume":"48","author":"MJ BAXTER","year":"2006","unstructured":"BAXTER, M.J., and FREESTONE, I. C. (2006), \u201cLog-Ratio Compositional Data Analysis in Archaeometry\u201d, Archaeometry, 48, 511\u2013531.","journal-title":"Archaeometry"},{"key":"9207_CR9","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1111\/j.1467-9876.2008.00627.x","volume":"57","author":"A BUTLER","year":"2008","unstructured":"BUTLER, A., and GLASBEY, C. (2008), \u201cA Latent Gaussian Model for Compositional Data With Zeros\u201d, Journal of the Royal Statistical Society: Series C, 57, 505\u2013520.","journal-title":"Journal of the Royal Statistical Society: Series C"},{"key":"9207_CR10","volume-title":"Statistical Shape Analysis","author":"IL DRDYEN","year":"1998","unstructured":"DRDYEN, I.L., and MARDIA, K. V. (1998), Statistical Shape Analysis, New York: Wiley."},{"key":"9207_CR11","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1023\/A:1023818214614","volume":"35","author":"JJ EGOZQUE","year":"2003","unstructured":"EGOZQUE, J.J., PAWLOWSKY-GLAHN, V., MATEU-FIGUERAS, G., and BARCELOVIDAL, C. (2003), \u201cIsometric Logratio Transformations for Compositional Data Analysis\u201d, Mathematical Geology, 35, 279\u2013300.","journal-title":"Mathematical Geology"},{"key":"9207_CR12","doi-asserted-by":"crossref","first-page":"1858","DOI":"10.1109\/TIT.2003.813506","volume":"49","author":"DM ENDRES","year":"2003","unstructured":"ENDRES, D.M. and SCHINDELIN, J. E. (2003), \u201cA New Metric for Probability Distributions\u201d, IEEE Transactions on Information Theory, 49, 1858\u20131860.","journal-title":"IEEE Transactions on Information Theory"},{"key":"9207_CR13","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1080\/000368400322002","volume":"32","author":"JM FRY","year":"2000","unstructured":"FRY, J.M., FRY, T. R. L., and McLAREN, K. R. (2000), \u201cCompositional Data Analysis and Zeros in Micro Data\u201d, Applied Economics, 32, 953\u2013959.","journal-title":"Applied Economics"},{"key":"9207_CR14","doi-asserted-by":"crossref","first-page":"3107","DOI":"10.1016\/j.csda.2008.09.001","volume":"53","author":"M Greenacre","year":"2009","unstructured":"GREENACRE, M. (2009), \u201cPower Transformations in Correspondence Analysis\u201d, Computational Statistics & Data Analysis, 53, 3107\u20133116.","journal-title":"Computational Statistics & Data Analysis"},{"key":"9207_CR15","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1007\/s11004-011-9338-5","volume":"43","author":"M Greenacre","year":"2011","unstructured":"GREENACRE, M. (2011), \u201cMeasuring Subcompositional Incoherence\u201d, Mathematical Geosciences, 43, 681\u2013693.","journal-title":"Mathematical Geosciences"},{"key":"9207_CR16","doi-asserted-by":"crossref","first-page":"5344","DOI":"10.1016\/j.csda.2008.05.030","volume":"52","author":"R GUEORGUIEVA","year":"2008","unstructured":"GUEORGUIEVA, R., ROSENHECK, R., and ZELTERMAN, D. (2008), \u201cDirichlet Component Regression and Its Applications to Psychiatric Data\u201d, Computational Statistics & Data Analysis, 52, 5344\u20135355.","journal-title":"Computational Statistics & Data Analysis"},{"key":"9207_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21606-5","volume-title":"The Elements of Statistical Learning: Data Mining, Inference, and Prediction","author":"T HASTIE","year":"2001","unstructured":"HASTIE, T., TIBSHIRANI, R., and FRIEDMAN, J. (2001), The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Berlin: Springer."},{"key":"9207_CR18","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1890\/02-4105","volume":"74","author":"SJ IVERSON","year":"2004","unstructured":"IVERSON, S.J., FIELD, C., BOWEN, W.D., and BLANCHARD, W. (2004), \u201cQuantitative Fatty Acid Signature Analysis: A New Method of Estimating Predator Diets\u201d, Ecological Monographs, 74, 211\u2013235.","journal-title":"Ecological Monographs"},{"key":"9207_CR19","doi-asserted-by":"crossref","first-page":"4","DOI":"10.2307\/2312989","volume":"72","author":"HO LANCASTER","year":"1965","unstructured":"LANCASTER,H.O. (1965), \u201cThe Helmert Matrices\u201d, American Mathematical Monthly, 72, 4\u201312.","journal-title":"American Mathematical Monthly"},{"key":"9207_CR20","volume-title":"\u201cA Compositional Statistical Analysis of Capital Stock\u201d, in Proceedings of the 1st Compositional Data Analysis Workshop","author":"JM LARROSA","year":"2003","unstructured":"LARROSA, J.M. (2003), \u201cA Compositional Statistical Analysis of Capital Stock\u201d, in Proceedings of the 1st Compositional Data Analysis Workshop, Girona, Spain."},{"key":"9207_CR21","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.chemolab.2011.08.003","volume":"109","author":"T NEOCLEOUS","year":"2011","unstructured":"NEOCLEOUS, T., AITKEN, C., and ZADORA, G. (2011), \u201cTransformations for Compositional Data With Zeros With an Application to Forensic Evidence Evaluation\u201d, Chemometrics and Intelligent Laboratory Systems, 109, 77\u201385.","journal-title":"Chemometrics and Intelligent Laboratory Systems"},{"key":"9207_CR22","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1007\/BF02517812","volume":"55","author":"F OSTERREICHER","year":"2003","unstructured":"OSTERREICHER, F., and VAJDA, I. (2003), \u201cA New Class of Metric Divergences on Probability Spaces and Its Applicability in Statistics\u201d, Annals of the Institute of Statistical Mathematics, 55, 639\u2013653.","journal-title":"Annals of the Institute of Statistical Mathematics"},{"key":"9207_CR23","doi-asserted-by":"crossref","first-page":"1404","DOI":"10.1016\/j.watres.2005.01.012","volume":"39","author":"N OTERO","year":"2005","unstructured":"OTERO, N., TOLOSANA-DELGADO, R., SOLER, A., PAWLOWSKY-GLAHN, V., and CANALS, A. (2005), \u201cRelative vs. Absolute Statistical Analysis of Compositions: A Comparative Study of SurfaceWaters of aMediterranean River\u201d, Water Research, 39, 1404\u20131414.","journal-title":"Water Research"},{"key":"9207_CR24","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1007\/s00357-012-9105-4","volume":"29","author":"J PALAREA-ALBALADEJO","year":"2012","unstructured":"PALAREA-ALBALADEJO, J., MARTIN-FERNANDEZ, J.A., and SOTO, J.A. (2012), \u201cDealing with Distances and Transformations for Fuzzy C-means Clustering of Compositional Data\u201d, Journal of Classification, 29, 144\u2013169.","journal-title":"Journal of Classification"},{"key":"9207_CR25","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1007\/s00362-009-0264-2","volume":"50","author":"PC RODRIGUES","year":"2009","unstructured":"RODRIGUES, P.C., and LIMA, A.T. (2009), \u201cAnalysis of an European Union Election Using Principal Component Analysis\u201d, Statistical Papers, 50, 895\u2013904.","journal-title":"Statistical Papers"},{"key":"9207_CR26","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1111\/j.1467-9868.2010.00766.x","volume":"73","author":"JL SCEALY","year":"2011","unstructured":"SCEALY, J.L., and WELSH, A.H. (2011), \u201cRegression for Compositional Data by Using Distributions Defined on the Hypersphere\u201d, Journal of the Royal Statistical Society: Series B, 73, 351\u2013375.","journal-title":"Journal of the Royal Statistical Society: Series B"},{"key":"9207_CR27","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1111\/anzs.12073","volume":"56","author":"JL SCEALY","year":"2014","unstructured":"SCEALY, J.L., and WELSH, A.H. (2014), \u201cColours and Cocktails: Compositional Data Analysis: 2013 Lancaster Lecture\u201d, Australian & New Zealand Journal of Statistics, 56, 145\u2013169.","journal-title":"Australian & New Zealand Journal of Statistics"},{"key":"9207_CR28","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1093\/biomet\/69.1.197","volume":"69","author":"MA STEPHENS","year":"1982","unstructured":"STEPHENS, M.A. (1982), \u201dUse of the Von Mises Distribution to Analyse Continuous Proportions\u201d, Biometrika, 69, 197\u2013203.","journal-title":"Biometrika"},{"key":"9207_CR29","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s13253-010-0040-8","volume":"16","author":"C STEWART","year":"2011","unstructured":"STEWART, C., and FIELD, C. (2011), \u201cManaging the Essential Zeros in Quantitative Fatty Acid Signature Analysis\u201d, Journal of Agricultural, Biological, and Environmental Statistics, 16, 45\u201369.","journal-title":"Journal of Agricultural, Biological, and Environmental Statistics"},{"key":"9207_CR30","volume-title":"\u201cA Data-Based Power Transformation for Compositional Data\u201d, in Proceedings of the 4th Compositional Data Analysis Workshop","author":"MT TSAGRIS","year":"2011","unstructured":"TSAGRIS, M.T., PRESTON, S., and WOOD, A. T. A. (2011), \u201cA Data-Based Power Transformation for Compositional Data\u201d, in Proceedings of the 4th Compositional Data Analysis Workshop, Girona, Spain."},{"key":"9207_CR31","doi-asserted-by":"crossref","unstructured":"TSAGRIS, M., and ATHINEOU, G. (2016), Compositional: A Collection of R Functions for Compositional Data Analysis (R package version 1.2.5), https:\/\/cran.r-project.org\/web\/packages\/Compositional\/","DOI":"10.32614\/CRAN.package.Compositional"},{"key":"9207_CR32","unstructured":"UC IRVINE MACHINE LEARNING REPOSITORY (2014), \u201cForensic Glass Dataset\u201d, http:\/\/archive.ics.uci.edu\/ml\/datasets\/Glass+Identification."},{"key":"9207_CR33","volume-title":"\u201cThe Elusive Benefits of Logratios\u201d, in Proceedings of the 3rd Annual Conference of the International Association for Mathematical Geology","author":"A Woronow","year":"1997","unstructured":"WORONOW, A. (1997), \u201cThe Elusive Benefits of Logratios\u201d, in Proceedings of the 3rd Annual Conference of the International Association for Mathematical Geology, Barcelona, Spain."},{"key":"9207_CR34","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1111\/j.1556-4029.2009.01316.x","volume":"55","author":"G ZADORA","year":"2010","unstructured":"ZADORA, G., NEOCLEOUS, T., and AITKEN, C. (2010), \u201cA Two-Level Model for Evidence Evaluation in the Presence of Zeros\u201d, Journal of Forensic Sciences, 55, 371\u2013384.","journal-title":"Journal of Forensic Sciences"}],"container-title":["Journal of Classification"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00357-016-9207-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00357-016-9207-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00357-016-9207-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T16:29:23Z","timestamp":1718728163000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00357-016-9207-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,7]]}},"alternative-id":["9207"],"URL":"https:\/\/doi.org\/10.1007\/s00357-016-9207-5","relation":{},"ISSN":["0176-4268","1432-1343"],"issn-type":[{"value":"0176-4268","type":"print"},{"value":"1432-1343","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7]]}}}