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D-Optimal Slope Design for Second Degree Kronecker Model Mixture Experiment With Three Ingredients

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  • Ngigi Peter Kung’u
  • J. K. Arap Koske
  • Josphat K. Kinyanjui

Abstract

This study presents an investigation of an optimal slope design in the second degree Kronecker model for mixture experiments in three dimensions. The study is restricted to weighted centroid designs, with the second degree Kronecker model. A well-defined coefficient matrix is used to select a maximal parameter subsystem for the model since its full parameter space is inestimable. The information matrix of the design is obtained using a linear function of the moment matrices for the centroids and directly linked to the slope matrix. The discussion is based on Kronecker product algebra which clearly reflects the symmetries of the simplex experimental region. Eventually the matrix means are used in determining optimal values of the efficient developed design.

Suggested Citation

  • Ngigi Peter Kung’u & J. K. Arap Koske & Josphat K. Kinyanjui, 2020. "D-Optimal Slope Design for Second Degree Kronecker Model Mixture Experiment With Three Ingredients," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(2), pages 1-30, March.
    • Handle: RePEc:ibn:ijspjl:v:9:y:2020:i:2:p:30
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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