Two Methods of Correlation Coefficient on Compositional Data

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• 作者：Wen Long^a ; ^b ; ^{longwen@ucas.ac.cn} ; Qian Wang^c
• 关键词：Compositional data ; Correlation coefficient ; Logratio transformation ; Centered logratio transformation
• 刊名：Procedia Computer Science
• 出版年：2013
• 出版时间：2013
• 年：2013
• 卷：18
• 期：Complete
• 页码：1757-1763
• 全文大小：251 K

文摘

Because compositional data have a series of complicated mathematical characteristics such as constant sum constraints, the usage of traditional statistical analysis methods in analyzing compositional data will usually cause difficulties. This paper focuses on the approach to measure the correlation of compositional data. Since the algorithm of correlation coefficient of common data is not adaptive to multi-variables data, and traditional canonical correlation analysis cannot be directly applied to compositional data, two kinds of approaches are presented which are based on logratio transformation and centered logratio transformation separately, combined with canonical correlation analysis, and succeeds in computing correlation coefficient of compositional data.