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Abstract Details

Activity Number: 498
Type: Topic Contributed
Date/Time: Wednesday, August 1, 2012 : 10:30 AM to 12:20 PM
Sponsor: Section on Government Statistics
Abstract - #304143
Title: Sample Size Determination and Hypothesis Testing for the Mean of a Lognormal Distribution
Author(s): Kush Kapur*+
Companies:
Address: 479 N Harlem, Oak Park, IL, 60301, United States
Keywords: Lognormal ; Edgeworth Expansion ; Generalized p-value ; Permutation Testing
Abstract:

Lognormal distributions have applications in health sciences, occupational exposures, environmental monitoring and several other fields. In this article we compare power functions of four testing procedures based on Student-t, Edgeworth expansion, generalized p-value and permutation test for testing the mean of a lognormal distribution. We recommend the generalized p-value and permutation test procedures for testing the mean of the distribution. Using these procedures we determine the required sample size for obtaining a pre-specified power. The results are illustrated with examples from Environmental Monitoring Field and Veteran Affairs Clinical Study Data.


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