Analytical Characterization of the Information Matrix for Split-Plot Designs

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

Mathematics Subject Classification:

• Primary 62K20
• Secondary 62K05