TITLE:
The Permutation Test as an Ancillary Procedure for Comparing Zero-Inflated Continuous Distributions
AUTHORS:
Jixiang Jixiang, Lei Zhang, William D Johnson
KEYWORDS:
Central Limit Theorem; Likelihood Ratio Test; Modified Central Limit Theorem; Permutation Test; Wald Test; Zero-Inflated Distribution
JOURNAL NAME:
Open Journal of Statistics,
Vol.2 No.3,
June
28,
2012
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.