Tsagris, Michail and Preston, Simon and T.A. Wood, Andrew (2016): Nonparametric hypothesis testing for equality of means on the simplex. Forthcoming in: Journal of Statistical Computation and Simulation No. This is a preprin of the accepted version (2016)

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Abstract
In the context of data that lie on the simplex, we investigate use of empirical and exponential empirical likelihood, and Hotelling and James statistics, to test the null hypothesis of equal population means based on two independent samples. We perform an extensive numerical study using data simulated from various distributions on the simplex. The results, taken together with practical considerations regarding implementation, support the use of bootstrapcalibrated James statistic.
Item Type:  MPRA Paper 

Original Title:  Nonparametric hypothesis testing for equality of means on the simplex 
Language:  English 
Keywords:  Compositional data, hypothesis testing, Hotelling test, James test, non parametric, empirical likelihood, bootstrap 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General 
Item ID:  72771 
Depositing User:  Mr Michail Tsagris 
Date Deposited:  31 Jul 2016 04:47 
Last Modified:  31 Jul 2016 04:47 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/72771 