D-Optimal Design for Mixture Amount Experiment Involving Split-Plot Design


  • A. Muthiah Nur Angriany IPB University, Jl. Raya Dramaga, Babakan, Dramaga District, Bogor City, West Java, Indonesia
  • Anik Djuraidah IPB University, Jl. Raya Dramaga, Babakan, Dramaga District, Bogor City, West Java, Indonesia
  • Utami Dyah Syafitri IPB University, Jl. Raya Dramaga, Babakan, Dramaga District, Bogor City, West Java, Indonesia


D-optimal, mixture amount experiment, split-plot design


A mixture amount experiment (MAE) is a design that depends on the proportions of the ingredients and the total amounts. The classical MAE contains the classical mixture experiment on each total amount. Consequently, complete randomization is challenging to implement in MAE, so a split-plot design approach was proposed. In the MAE, the whole plot factor is the total amount of mixtures, while the subplot factor is the composition of the ingredients. Another problem in the MAE is if the number of ingredients and total amounts increase, the number of runs increases. The split-plot design with an optimal design approach was proposed. The study aimed to develop a point-exchange algorithm with a split-plot design approach. The case study used is a mixed design consisting of three ingredients and two total amounts of mixtures. The results obtained are that the algorithm compiled in this study produces optimal design points, namely the edge points in the design region.


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How to Cite

A. Muthiah Nur Angriany, Anik Djuraidah, & Utami Dyah Syafitri. (2021). D-Optimal Design for Mixture Amount Experiment Involving Split-Plot Design. International Journal of Sciences: Basic and Applied Research (IJSBAR), 60(4), 386–397. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/13561