One-Sided Tolerance Limits in Balanced and Unbalanced One-Way Random Models Based on Generalized Confidence Intervals

Details

• Personal Author:
  Krishnamoorthy K ; Mathew T
• Description:
  We consider the problem of deriving one-sided tolerance intervals in the one-way random model with balanced as well as unbalanced data, under the usual normality assumptions. The problems investigated deal with the computation of such intervals for the observable random variable, as well as the unobservable random effect in the one-way random model. The tolerance limits are derived using the concept of a generalized confidence interval. Some approximations are derived for the tolerance limits, and their performance is investigated by simulation. The simulation results show that the proposed tolerance limits are quite satisfactory for practical use. [Description provided by NIOSH]
• Subjects:
  Environmental Monitoring Epidemiology Occupational Health Risk Assessment Safety
• Keywords:
  Author Keywords: Confidence Content Exposure-assessment Generalized Pivotal Quantity Lower Tolerance Limit Mathematical-models Models Noncentral T Risk-analysis Statistical-analysis Upper Tolerance Limit

  More +
• ISSN:
  0040-1706
• Document Type:
  Text
• Funding:
  Grant
• Genre:
  Journal Article
• Place as Subject:
  Louisiana ; Maryland ; OSHA Region 3 ; OSHA Region 6
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Pages in Document:
  44-52
• Volume:
  46
• Issue:
  1
• NIOSHTIC Number:
  nn:20026060
• Citation:
  Technometrics 2004 Feb; 46(1):44-52
• Contact Point Address:
  K. Krishnamoorthy, Department of Mathematics University of Louisiana at Lafayette Lafayette, LA 70504; T. Mathew, Department of Mathematics and Statistics University of Maryland Baltimore, MD 21250
• Email:
  krishna@louisiana.edu
• Federal Fiscal Year:
  2004
• Performing Organization:
  University of Maryland, Baltimore
• Peer Reviewed:
  True
• Start Date:
  20000501
• Source Full Name:
  Technometrics
• End Date:
  20150831
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:3a7d081b6da283ed178d16bcc852008d273dfcc3a4e1dcb5fe6a47319bc5ae8e0e14151f8cbd0ce08cc27ccf0c79c77b6a0598ceb899458038ae76b5a0c30d29
• Download URL:
  https://stacks.cdc.gov/view/cdc/197178/cdc_197178_DS1.pdf
• File Type:
  [PDF - 357.24 KB ]