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The symmetric-range accuracy under a one-way random model with balanced or unbalanced data.

Authors
Krishnamoorthy-K; Mathew-T
Source
Ann Occup Hyg 2013 Aug; 57(7):953-961
NIOSHTIC No.
20043979
Abstract
The symmetric-range accuracy A of a sampler is defined as the fractional range, symmetric about the true concentration, that includes a specified proportion of sampler measurements. In this article, we give an explicit expression for A assuming that the sampler measurements follow a one-way random model so as to capture different components of variability, for example, variabilities among and within different laboratories or variabilities among and within exposed workers. We derive an upper confidence limit for A based on the concept of a 'generalized confidence interval'. A convenient approximation is also provided for computing the upper confidence limit. Both balanced and unbalanced data situations are investigated. Monte Carlo evaluation indicates that the proposed upper confidence limit is satisfactory even for small samples. The statistical procedures are illustrated using an example.
Keywords
Models; Samplers; Measurement-equipment; Laboratories; Workers; Exposure-levels; Author Keywords: coverage probability; generalized confidence interval; generalized pivotal quantity; non-central chi-square distribution; upper confidence limit
Contact
Kalimuthu Krishnamoorthy, Department of Mathematics, University of Louisiana, Lafayette, LA 70508
CODEN
AOHYA3
Publication Date
20130401
Document Type
Journal Article
Email Address
krishna@louisiana.edu
Funding Type
Grant
Fiscal Year
2013
NTIS Accession No.
NTIS Price
Identifying No.
Grant-Number-R01-OH-003628
Issue of Publication
7
ISSN
0003-4878
Source Name
Annals of Occupational Hygiene
State
LA; MD
Performing Organization
University of Maryland, Baltimore
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