MULTIFACTOR COMPONENT-AMOUNT MIXTURE DESIGNS

Taha Hasan; Syed Adil Hussain; Munir Ahmed

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MULTIFACTOR COMPONENT-AMOUNT MIXTURE DESIGNS

Author(s)

Taha Hasan Department of Statistics, Islamabad Model College for Boys,Islamabad, Pakistan

Syed Adil Hussain Department of Statistics, University of Gujrat, Gujrat, Pakistan

Munir Ahmed Department of Mathematics, Islamabad Model Post Graduate College, Islamabad, Pakistan

Abstract

Multifactor component-amount designs are introduced. A method for the construction of multifactor component-amount design is devised. The method uses the kronecker product of matrices obtained from a single factor D-optimal component-amount design and an adjacency/incidence matrix of an undirected graph over a field F2 . Further G-efficiency of designs is computed for two and three factors quadratic mixture component-amount models. This method can be used equally when factors have same or different number of components.

Publication Details

Page(s) 35-48

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 38, Issue: 1, Year: 2022

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Keywords

Adjacency matrix, Component-amounts, Kronecker product., Incidence matrix, Mixture Designs, G-optimality

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