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Abstract:
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In mixture-of-mixture (MoM) experiments, major components are defined as the components which themselves are mixtures of some other components, called minor components. In other MoM experiments, components are divided into different categories. Each category is called major component, and the components within it are minor components. The special structure of the MoM experiment makes the design and modeling approaches different from a typical mixture experiment. In this paper, we propose a new modeling approach called the major-minor model. It overcomes some of the limitations of the multiple-Scheffe model, which has been studied and used for MoM experiments. We also introduce a major-minor D-optimal design strategy for designing the experiment. At last, we apply the proposed design and modeling approach to a MoM experiment conducted to formulate a new Pringles potato crisp.
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