Generalized P-Values and Confidence Intervals: A Novel Approach for Analyzing Lognormally Distributed Exposure Data

Details

• Personal Author:
  Krishnamoorthy K ; Mathew T ; Ramachandran G
• Description:
  The problem of assessing occupational exposure using the mean of a lognormal distribution is addressed. The novel concepts of generalized p-values and generalized confidence intervals are applied for testing hypotheses and computing confidence intervals for a lognormal mean. The proposed methods perform well, they are applicable to small sample sizes, and they are easy to implement. Power studies and sample size calculation are also discussed. Computational details and a source for the computer program are given. The procedures are also extended to compare two lognormal means and to make inference about a lognormal variance. In fact, our approach based on generalized p-values and generalized confidence intervals is easily adapted to deal with any parametric function involving one or two lognormal distributions. Several examples involving industrial exposure data are used to illustrate the methods. An added advantage of the generalized variables approach is the ease of computation and implementation. In fact, the procedures can be easily coded in a programming language for implementation. Furthermore, extensive numerical computations by the authors show that the results based on the generalized p-value approach are essentially equivalent to those based on the Land's method. We want to draw the attention of the industrial hygiene community to this accurate and unified methodology to deal with any parameter associated with the lognormal distribution. [Description provided by NIOSH]
• Subjects:
  Environmental Monitoring Occupational Health Safety
• Keywords:
  Analytical-methods Analytical-models Analytical-processes Author Keywords: Confidence Interval Exposure-assessment Hypothesis Test Mathematical-models Standards Statistical-analysis Type 1 Error
• ISSN:
  1545-9624
• Document Type:
  Text
• Funding:
  Grant
• Genre:
  Journal Article
• Place as Subject:
  Louisiana ; Maryland ; Minnesota ; OSHA Region 3 ; OSHA Region 5 ; OSHA Region 6
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Volume:
  3
• Issue:
  11
• NIOSHTIC Number:
  nn:20037385
• Citation:
  J Occup Environ Hyg 2006 Nov; 3(11):642-650
• Contact Point Address:
  K. Krishnamoorthy, Department of Mathematics, 217 Maxim D. Doucet Hall, P.O. Box 41010, University of Louisiana at Lafayette, Lafayette, LA 70504
• Email:
  krishna@louisiana.edu
• Federal Fiscal Year:
  2007
• Performing Organization:
  University of Minnesota Twin Cities
• Peer Reviewed:
  True
• Start Date:
  20050701
• Source Full Name:
  Journal of Occupational and Environmental Hygiene
• End Date:
  20250630
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:62a9a64c0ed44d175e63ae014a9b0c2f9746dbf40baf8e6f3c71d1de40b226ccf52200d703a89e79e087a3f01c96ef0f0eb75887d727d38fcf5693146896902f
• Download URL:
  https://stacks.cdc.gov/view/cdc/188484/cdc_188484_DS1.pdf
• File Type:
  [PDF - 582.02 KB ]