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

The Permutation Test as an Ancillary Procedure for Comparing Zero-Inflated Continuous Distributions
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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. 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.
出处 《Open Journal of Statistics》 2012年第3期274-280,共7页 统计学期刊(英文)
关键词 CENTRAL LIMIT THEOREM Likelihood Ratio TEST Modified CENTRAL LIMIT THEOREM PERMUTATION TEST Wald TEST ZERO-INFLATED Distribution Central Limit Theorem Likelihood Ratio Test Modified Central Limit Theorem Permutation Test Wald Test Zero-Inflated Distribution
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