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

Autor:	Ngigi Peter Kung’u, J. K. Arap Koske, Josphat k. Kinyanjui
Rok vydání:	2020
Předmět:	Moment (mathematics) Kronecker product Matrix (mathematics) symbols.namesake Linear function (calculus) Kronecker delta symbols Applied mathematics Parameter space Coefficient matrix Fisher information Mathematics
Zdroj:	International Journal of Statistics and Probability. 9:30
ISSN:	1927-7040 1927-7032
DOI:	10.5539/ijsp.v9n2p30
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3bb6a954155986fd91c18bb28ebfd0d9 https://doi.org/10.5539/ijsp.v9n2p30 Zobrazit plný text záznamu