Statistical Modeling of Discrete Percentage Measurements With Application to Construction of Acceptance Bounds for Wood Failure in Structural Adhesive Testing

Resource type
Date created
2016
Authors/Contributors
Abstract
The goals of this paper are:(1) to provide a statistical analysis approach that is appropriate for data from an interlaboratory study where responses are measured in discrete percentages and are subject to multiple sources of random variability, and (2) to apply this model to data on wood-failure percentages from block-shear tests on structural wood adhesives.We treat percentage responses measured in 5-point intervals as having arisen from observing 20 independent binary responses on different parts of the observed wood blocks. The overdispersion that is likely to result from the practical inadequacy of this assumption is overcome empirically by the inclusion of a random effect for blocks. We propose an analysis based on a parametric bootstrap to provide sampling distributions for statistics that regulators might wish to use in setting standards for acceptance of wood adhesives. Similar computational methods are developed to assess the fit of the model. This model is shown to provide a reasonably good fit or actual data in many of the cases to which it was applied.
Document
Identifier
DOI: 10.1520/JTE20150189
Published as
Loughin, T. M., Payne, N., Casilla, R., and Lum, C., "Statistical Modeling of Discrete Percentage Measurements With Application to Construction of Acceptance Bounds for Wood Failure in Structural Adhesive Testing," Journal of Testing and Evaluation 45(5), https://doi.org/10.1520/JTE20150189 Published by ASTM.
Publication title
Journal of Testing and Evaluation
Document title
Statistical Modeling of Discrete Percentage Measurements With Application to Construction of Acceptance Bounds for Wood Failure in Structural Adhesive Testing
Publisher
ASTM
Date
2016
Volume
45
Issue
5
Publisher DOI
10.1520/JTE20150189
Copyright statement
Copyright is held by the author(s).
Scholarly level
Peer reviewed?
Yes
Language
Member of collection
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loughinpaynecasillalum_jote_2017.pdf 787.88 KB