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The Permutation Test as an Ancillary Procedure for Comparing Zero-Inflated Continuous Distributions

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Author(s): Jixiang Jixiang | Lei Zhang | William D Johnson

Journal: Open Journal of Statistics
ISSN 2161-718X

Volume: 02;
Issue: 03;
Start page: 274;
Date: 2012;
Original page

Keywords: Central Limit Theorem | Likelihood Ratio Test | Modified Central Limit Theorem | Permutation Test | Wald Test | Zero-Inflated Distribution

ABSTRACT
Empirical estimates of power and Type I error can be misleading if a statistical test does not perform at the stated rejection level under the null hypothesis. We employed the permutation test to control the empirical type I errors for zero-inflated exponential distributions. The simulation results indicated that the permutation test can be used effectively to control the type I errors near the nominal level even the sample sizes are small based on four statistical tests. Our results attest to the permutation test being a valuable adjunct to the current statistical methods for comparing distributions with underlying zero-inflated data structures.
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