Optimum designs for parameter estimation in a mixture experiment with two correlated responses. Issue 10 (26th November 2017)

• Record Type: Journal Article
• Authors: Pal, Manisha; Mandal, Nripes Kumar
• Is Part Of: Communications in statistics. Volume 46:Issue 10(2017)
• Page Start: 7698
• Page End: 7709
• Publication Date: 2017-11-26
• Subjects: A-optimality criterion -- D-optimality criterion -- Linear and quadratic mixture models -- Optimum designs -- Correlated responses; 62K99 -- 62J05; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1248575
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: In this paper, we investigate a mixture problem with two responses, which are functions of the mixing proportions, and are correlated with known dispersion matrix. We obtain D- and A-optimal designs for estimating the parameters of the response functions, when none or some of the regression coefficients of the two functions are the same. It is shown that when no prior knowledge about the regression coefficients is available, the D-optimal design is independent of the dispersion matrix, while the A-optimal design depends on it, provided the response functions are of different degree. On the other hand, when some of the regression coefficients are known to be the same for both the functions, the D-optimal design depends on the dispersion matrix when the two response functions are not of the same degree.