Two Combined Alphabetic Optimality Criteria for Second Order Rotatable Designs Constructed Using Balanced Incomplete Block Design in Four Dimensions
International Journal of Data Science and Analysis
Volume 4, Issue 2, April 2018, Pages: 32-37
Received: May 29, 2018;
Accepted: Jul. 6, 2018;
Published: Aug. 4, 2018
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Dennis Matundura Mwan, Department of Statistics and Computer Science, School of Biological and Physical Science, Moi University, Eldoret, Kenya
Mathew Kosgei, Department of Statistics and Computer Science, School of Biological and Physical Science, Moi University, Eldoret, Kenya
The theory of optimal experimental designs is concerned with the construction of designs that are optimum with respect to some statistical criteria. Some of these criteria include the alphabetic optimality criteria such as; D-, A-, E-, T-, G- and C- criterion. Compound optimality criteria are those that combine two or more alphabetic optimality criteria. Design that require optimality criteria have specific desired properties that do very well in one design and at the same time perform poorly in another design. Thus, a compound optimality criterion gives a balance to the desirability of any two or more alphabetic optimality criteria. The present paper aims to introduce CD- and DT- criteria which are compound optimality criteria for second order rotatable designs constructed using Balanced Incomplete Block Designs (BIBDs) in four dimensions.
Dennis Matundura Mwan,
Two Combined Alphabetic Optimality Criteria for Second Order Rotatable Designs Constructed Using Balanced Incomplete Block Design in Four Dimensions, International Journal of Data Science and Analysis.
Vol. 4, No. 2,
2018, pp. 32-37.
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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