Title
A general strategy for analyzing data from split-plot and multistratum experimental designs A general strategy for analyzing data from split-plot and multistratum experimental designs
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Washington, D.C. ,
Subject
Mathematics
Source (journal)
Technometrics : a journal of statistics for the physical, chemical, and engineering sciences. - Washington, D.C., 1959, currens
Volume/pages
54(2012) :4 , p. 340-354
ISSN
0040-1706
1537-2723
ISI
000312054000003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Increasingly, industrial experiments use multistratum designs, such as split-plot and strip-plot designs. Often, these experiments span more than one processing stage. The challenge is to identify an appropriate multistratum design, along with an appropriate statistical model. In this article, we introduce Hasse diagrams in the response surface context as a tool to visualize the unit structure of the experimental design, the randomization and sampling approaches used, the stratum in which each experimental factor is applied, and the degrees of freedom available in each stratum to estimate main effects, interactions, and variance components. We illustrate their use on several responses measured in a large study of the adhesion properties of coatings to polypropylene. We discuss quantitative, binary, and ordered categorical responses, for designs ranging from a simple split-plot to a strip-plot that involves repeated measurements of the response. The datasets discussed in this article are available online as supplementary materials, along with sample SAS programs.
E-info
https://repository.uantwerpen.be/docman/iruaauth/a1f945/dd13701.pdf
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