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

• 作者: Jixiang Jixiang Lei Zhang William D Johnson
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: CENTRAL LIMIT THEOREM Likelihood Ratio TEST Modified CENTRAL LIMIT THEOREM PERMUTATION TEST Wald TEST ZERO-INFLATED Distribution
• 年，卷（期）: 2012,（3）
• 页码范围: 274-280
• 页数: 7页
• 分类号: O1

摘要

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.