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Analytical Characterization of the Information Matrix for Split-Plot Designs |
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| Authors: | Wayne R Wesley James R Simpson Peter A Parker Joseph R Pignatiello Jr |
| Institution: | 1. School of Engineering , University of Technology , Jamaica, Kingston, Jamaica wwesley@utech.edu.jm;4. wwesley3@hotmail.com;5. Department of Industrial and Manufacturing Engineering , Florida State University , Tallahassee, Florida, USA;6. Systems Engineering Directorate , NASA Langley Research Center , Hampton, Virginia, USA |
| Abstract: | This article provides the analytical characterization of the inverse of the information matrix for second-order SPD. A particular feature of these explicit expressions is that they are functions of the design parameters enabling the development of analytical functions to efficiently compute exact design optimality criteria. The application of these analytical expressions is demonstrated using the generalized variance of the parameter estimates for second-order SPD. An example illustrating the use of these expressions is also presented. |
| Keywords: | Information matrix Response surface designs Restricted randomization Split-plot designs Variance ratio |