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Vol 7, No 1 :

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Orthogonal Blocks of Two and Three Mixture Component Amount Blends via Projections ofF-Squares Based Design
Bushra Husain , Sadiya Parveen
Abstract

In many practical problems of mixture experiments, for example, in alloys and clinical drug trials, not only are the proportions of the ingredients important, but also their total amount is vital. In this paper, we have considered mixture amount experiments (the response depends on the total amount) and obtained D-, A- and E-optimality by projecting the class of four component mixture designsin orthogonal blocks of two and three mixture component-amount blends based on F-squares for additive quadratic mixture amount model discussed by Husain and Hafeez (2019).
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References

MLAggarwal; P.Singh; V. Sarin; B. Husain; Mixture designs in orthogonal blocks using F-squares, METRON- International Journal of Statistics, LXVII(2)105-128(2009).
ML Aggarwal; P.Singh; V. Sarin; B. Husain; Orthogonally blocked mixture component-amount designs via projections of F-squares, Journal ofthe Korean Statistical Society, 41(1)49-60(2012).
J ACornell;(2002) Experiments with mixtures, 3rd ed., Wiley, New York.
C A Clayton; M MGoldberg; B B Potter; Design and analysis of an experiment for assessing cyanide in gold mining wastes,Chemometrics and Intelligent Laboratory Systems,36(2)181-193(1997).
B. Husain;A.Hafeez; D- and A-optimal orthogonally blocked mixture component-amount designs via projections, Accepted for publication in the Journal of Statistics, Optimizationand Information Computing, (2019).
B. Husain;S.Parveen; F-square based four component D-, A- and E-optimal orthogonal designs for an additive quadratic mixture model, Journalof Indian Societyand Probability Statistics, 17(1)95-109(2016).
B. Husain;S.Parveen; Four component F-squares based nearly D- and A-optimal orthogonal block designs for additive quadratic mixture model and reduced cubic canonical model, Aligarh Journal of Statistics, 38 149-161(2018).
B. Husain; S. Sharma; Optimal orthogonal designs in two blocks based on F-squares for mixture inverse model in four components, International Journalof Experimental Designand Process Optimization, 4(3/4)206-215(2015).
B. Husain;S. Sharma;; F-squares based optimal designs for reduced cubic canonical models in four components, International Journalof Experimental Designand Process Optimization, 5(3)206-221(2017).
G. F. Piepel;J. A. Cornell; Models for mixture experiments when the response depends on the total amount, Technometrics, 27(3)219-227(1985).
G. F. Piepel; J. A. Cornell; Designs for mixture-amount experiments. Journal of Quality Technology 19(1)11-28(1987).
G. F. Piepel; CӦzler;A. K.Șehirlioğlu; Optimum tolerance design using component-amount and mixture-amount experiments, International Journal of AdvancedManufacturing Technology, 68(9)2359-2369(2013).
P. Prescott;A. M. Dean; N. R.Draper;S. M. Lewis; Mixture experiments: Ill- conditioning and quadratic model specification, Technometrics, 44(3)260-268(2002).
P. Prescott; N. R. Draper; Mixture component-amount designs via projections including orthogonally blocked designs, Journal of Quality Technology, 36(4) 413-431(2004).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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