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A composite binomial model derived from correlated random variables.

Authors
Groff-JH; Song-R; Schlecht-PC
Source
Commun Stat Theory Methods 2000 Jan; 29(5-6):1179-1195
NIOSHTIC No.
20020815
Abstract
Motivated by a correlation problem in a power calculation of proficiency testing, a composite binomial model is developed to describe the distribution for the number of outliers from measurement results of multiple analytes contained in a single sampler. This model is different from other binomial models in that its component Bernoulli variables are derived from correlated random variables. By modeling the correlated random variables and selecting a binary link function to convert these correlated random variables to Bernoulli variables, various composite binomial distributions can be derived. Formulas for calculating the probabilities of the composite binomial distribution are provided. Although .the composite binomial model is developed for a power calculation, it can be applied to other problems related to a sum of correlated Bernoulli variables.
Keywords
Mathematical-models; Models; Samplers; Sampling-methods; Analytical-models; Analytical-methods; Author Keywords: Outlier; Bernoulli variable; Exchangeable; Link function
Contact
HGO/NIOSH, 4676 Columbia Parkway, Cincinnati, OH 45226, USA
CODEN
CSTMDC
Publication Date
20000101
Document Type
Journal Article
Fiscal Year
2000
NTIS Accession No.
NTIS Price
Issue of Publication
5-6
ISSN
0361-0926
NIOSH Division
DART
Source Name
Communications in Statistics - Theory and Methods
State
OH
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