Optimum design for an incomplete second degree mixture model. (2019)

• Record Type: Journal Article
• Authors: Mandal, Nripes K.; Pal, Manisha
• Is Part Of: International journal of experimental design and process optimisation. Volume 6:Number 1(2019)
• Page Start: 1
• Page End: 12
• Publication Date: 2019
• Subjects: mixture design -- incomplete model -- D- and A-optimality criteria -- optimum design; Experimental design -- Periodicals; Process control -- Statistical methods -- Periodicals; 620.0072
• Languages: English
• ISSNs: 2040-2252

Abstract

Mixture experiments form an important part of research in areas like pharmaceutical, biometrics, agriculture, etc. Optimum mixture designs have been derived by many authors for mixture models due to Scheffé (1958) and others. In most of these models, there is no discrimination among the components. However, in practice, the situation may be quite different. In this paper, we have considered a situation where some but not all of the interaction terms are present. Optimum designs have been determined for the estimation of parameters of a second degree model. Finally, optimum designs for prediction have also been considered.