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It is argued that the statistical analysis of such data has proved difficult because of a lack both of concepts of independence and of rich enough parametric classes of distributions in the simplex. A variety of independence hypotheses are introduced and interrelated, and new classes of transformed-normal distributions in the simplex are provided as models within which the independence hypotheses can be tested through standard theory of parametric hypothesis testing. The new concepts and statistical methodology are illustrated by a number of applications.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380019994947784192","@type":"Researcher","foaf:name":[{"@value":"J. 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