%0 Journal Article
%T The Permutation Test as an Ancillary Procedure for Comparing Zero-Inflated Continuous Distributions
%A Jixiang Jixiang
%A Lei Zhang
%A William D Johnson
%J Open Journal of Statistics
%P 274-280
%@ 2161-7198
%D 2012
%I Scientific Research Publishing
%R 10.4236/ojs.2012.23033
%X 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.
%K Central Limit Theorem
%K Likelihood Ratio Test
%K Modified Central Limit Theorem
%K Permutation Test
%K Wald Test
%K Zero-Inflated Distribution
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=20421