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Journal article
Optimal Structure (k) Designs for Comparing Test Treatments with a Control
Journal of statistical theory and applications, Vol.16(1), pp.96-107
03/2017
Web of Science ID: WOS:000398029400008
Abstract
Mukerjee (1979) introduced structure (k) property of a factorial design. In this article, we introduce structure (k1), structure (k2) and structure (k1k2) properties of a factorial design. We establish properties of each of these structure designs in terms of the incidence and characteristic matrices of the designs. Furthermore, we develop methods of obtaining optimal R-type structure (k) designs and show that such designs are trace, A-and MV-optimal. The proposed methodologies are easy to follow and the construction of the designs comes out in a simple form.
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Details
- Title
- Optimal Structure (k) Designs for Comparing Test Treatments with a Control
- Publication Details
- Journal of statistical theory and applications, Vol.16(1), pp.96-107
- Resource Type
- Journal article
- Publisher
- Atlantis Press
- Number of pages
- 12
- Grant note
- Discovery Grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada; Natural Sciences and Engineering Research Council of Canada (NSERC)
- Copyright
- © 2017, the Authors
- Identifiers
- WOS:000398029400008; 99381378976206600
- Academic Unit
- Mathematics and Statistics; Hal Marcus College of Science and Engineering
- Language
- English