An Example from Proficiency Testing of the Application of Principal Components to the Estimation of Variance Components in Mixed Models

Details

• Personal Author:
  Shulman, Stanley A.
• Description:
  A common problem in lab proficiency testing is the estimation of measurement error and lab-to-lab variability, when duplicate samples are not available. Since measurement errors are often assumed to constitute a statistically independent set, the variance-covariance matrix should be the sum of a diagonal matrix (corresponding to measurement error) and a matrix different from an identity matrix (1). Multivariate statistical methods and mixed model methods provide tests that a variance-covariance matrix is of this form. In this paper, these methods are applied to data from an industrial hygiene laboratory proficiency testing program, the Proficiency Analytical Testing Program(PAT). Variances and covariances are assumed to be approximately proportional to an unknown power of the mean, and various possibilities for the form of the associated variance-covariance matrix are considered. The form depends on the scale on which the analyses are carried out, the possibility that the measurement error and non-measurement error have variances that are not proportional to the same power of the mean, and the dimensionality of the non-identity matrix. Examples are presented from PAT. [Description provided by NIOSH]
• Subjects:
  Coal Coal Mining Mining Occupational Health Safety
• Keywords:
  Analytical Methods Author Keywords: Variance Components Industrial Hygiene Programs Interaction Laboratories Laboratory Testing Models Multivariate Methods Sampling Sampling Methods Statistical Analysis

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• Document Type:
  Text
• Genre:
  Proceedings
• Place as Subject:
  Georgia ; Ohio ; OSHA Region 4 ; OSHA Region 5
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Division:
  DART - Division of Applied Research and Technology
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Pages in Document:
  1-6
• NIOSHTIC Number:
  nn:20023543
• Citation:
  Proc Ann Meet Am Stat Assoc, August 5-9, 2001, Atlanta, Georgia, 2001 Aug; :1-6
• Contact Point Address:
  Stanley A. Shulman, National Institute for Occupational Safety and Health, 4676 Columbia Parkway, MS-R3, Cincinnati, OH 45233
• Federal Fiscal Year:
  2001
• Peer Reviewed:
  False
• Source Full Name:
  Proceedings of the Annual Meeting of the American Statistical Association
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:ee5a38877be873ba837c740fc571a98aab063ca2fc8c200f2c67681e40f0852d6db9cf4f85f323206d5a98474b5e87c01885c80a9b8eee5dd2f5614548c72411
• Download URL:
  https://stacks.cdc.gov/view/cdc/195911/cdc_195911_DS1.pdf
• File Type:
  [PDF - 827.82 KB ]