Confidence regions in ternary diagrams based on the power-divergence statistics |
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| Authors: | Frederick Medak and Noel Cressie |
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| Institution: | (1) Department of Statistics, Iowa State University, 50011 Ames, Iowa |
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| Abstract: | Watson and Nguyen (1985) and Watson (1987) consider the problem of plotting confidence regions in a ternary diagram, for a trinomial probability vector  , based on Pearson's x2. Their results are extended to the power-divergence family of statistics resulting in confidence regions of diverse shapes and sizes. The members of the family with the most accurate coverage probabilities are  =2/3 and =1/2. |
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| Keywords: | power-divergence family Pearson's x2 trinomial distribution compositional data |
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