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Nonparametric hypothesis testing for equality of means on the simplex

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Table 1: 95% confidence intervals for different levels of probability.
Table 2: Estimated probability of Type I error using different tests and a variety of calibrations.The nominal level of the Type I error was equal to 0.05
Table 4: Scenario 1. Estimated powers of the tests with bootstrap calibration when the sample sizes are equal
Table 5: Scenario 2. Estimated powers of the tests with bootstrap calibration when the sample sizes are equal
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