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Activity Number: 369
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #301022
Title: Performance of Some Statistical Methods for Testing Equality of Parameters in Zero-Inflated Continuous Distributions
Author(s): Lei Zhang*+ and William D. Johnson and Jixiang Wu
Companies: Mississippi State Department of Health and Lousiana State University System and Mississippi State University
Address: Office of Health Data & Research, 570 E. Woodrow Wilson, Jackson, MS, 39215-1700,
Keywords: Continuous ; Distribution ; Zero-Inflated ; Statistical ; Methods ; Equality
Abstract:

We evaluated the properties of four statistical methods for testing equality among populations with zero-inflated continuous distributions. These tests are based on likelihood ratio (LR), parametric jackknife (PJ), non-parametric jackknife (NPJ), and central limit theorem (CLT) statistics. We investigated their statistical properties using the simulated data with gamma, exponential, and log-normal density functions. These four statistical tests are compared regarding the empirical Type I errors and testing powers estimated through 10,000 repeated samples. The LR test and the PJ test performed better than the other two tests since their empirical Type I errors were close to the nominal 0.05 level and demonstrated good power for rejecting alternative hypotheses. The NPJ test had unacceptable empirical Type I errors. The CLT test performed reasonably well for larger sample sizes.


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