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Design and Modeling for Order of Addition Experiments with Amount Effects

Volume 5, Issue 2, April 2020    |    PP. 22-31    |PDF (280 K)|    Pub. Date: June 19, 2020
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Author(s)
Junjian Liu, College of Mathematics and Statistics, Guangxi Normal University, GuiLin, Guangxi, China

Abstract
Abstract: The order of addition experiment is increasingly used in many scientific fields, such as chemistry,biology and medicine. The existing literature considers order of addition rather than amount combination. In this paper, we consider order of addition experiments with amount effects. A new proposed model incorporates both order effects and amount effects, which is called the order of addition-amount combination model. In addition, we propose an experimental design that can ensure the estimations of order of addition effects, but the experimental design are uncorrelated with the estimations of amount combination effects. In this paper, we give an illustrative example to explain this design. In terms of MSE, residual and fitting the real model, the proposed design is more appropriate than the random design.

Keywords
Keywords: Statistical model; Amount combination; Orthogonal design; MSE; Residual graph

Cite this paper
Junjian Liu, Design and Modeling for Order of Addition Experiments with Amount Effects, SCIREA Journal of Mathematics. Vol. 5 , No. 2 , 2020 , pp. 22 - 31 .

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