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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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