Optimal orthogonal designs in two blocks based on F-squares for mixture inverse model in four components. (2015)

• Record Type: Journal Article
• Authors: Husain, Bushra; Sharma, Sanghmitra
• Is Part Of: International journal of experimental design and process optimisation. Volume 4:Number 3/4(2015)
• Page Start: 206
• Page End: 215
• Publication Date: 2015
• Subjects: mixture experiments -- process variables -- orthogonality -- mixture inverse modelling -- F-squares -- D-optimality -- A-optimality -- E-optimality -- optimal design -- orthogonal block designs; Experimental design -- Periodicals; Process control -- Statistical methods -- Periodicals; 620.0072
• Languages: English
• ISSNs: 2040-2252

Abstract

Orthogonal block designs for Scheffés quadratic model in three and four components have been considered by John (1984), Czitrom (1988, 1989), Draper et al. (1993), Chan and Sandhu (1999), and Ghosh and Liu (1999). Singh (2003) considered optimal orthogonal designs in two blocks for Darroch and Waller's quadratic mixture model in three and four components. Aggarwal et al. (2009) have studied mixture designs in orthogonal blocks using F-squares. A mixtures model with inverse terms was presented by Draper and St. John (1977). In this paper, we have constructed optimal orthogonal designs in two blocks based on F-squares for a mixture inverse model in four components with two component proportions at the same level. Conditions required for orthogonality are also given.