A simplex-centroid design for q mixture components comprises of all possible subsets of the q components, present in equal proportions. The design does not contain full mixture blends except the overall centroid. In real-life situations, all mixture blends comprise of at least a minimum proportion of each component. Here, we introduce simplex-centroid designs which contain complete blend...

This article outlines our investigation into the methane production of wastewater sludge (WWS) from a treatment plant (WWTP) and mixture WWS with food waste (FW) green cutting (GC). To determine optimal mixture, two potential experiments were performed using Automatic Methane Potential Test System (AMPTS II). In first experiment, FW used. The highest was measured in FW, lowest WWS. combination ...

Statistical techniques used to analyze data from Mixture Experiments involve fitting Multiple Regression models with the intercept set to zero, Canonical Analysis to determine the shape of the fitted response, and the Response Surface System. One can use Mixture Design Macros (e.g., ADXMIX File) in SAS or the point-and-click ADX Interface of SAS to analyze data and obtain graphs. Contour plot, ...

A mixture experiment, a variant of response surface methodology, was designed to determine the proportion of time to feed broiler starter (23% protein), grower (20% protein), and finisher (18% protein) diets to optimize production and processing variables based on a total production time of 48 d. Mixture designs are useful for proportion problems where the components of the experiment (i.e., le...

For the symmetrical mixture model and test area, lattice point set is used to partition, then corresponding statistics can be constructed. In this paper, we first propose partition methods under sets obtain several sub-simplexes without common interior points. Furthermore, present a method for constructing uniform design on simplex using center points of these sub-simplexes. The designs satisfy...

By integrating the underlying developmental mechanisms for the phenotypic formation of traits into a mapping framework, functional mapping has emerged as an important statistical approach for mapping complex traits. In this note, we explore the feasibility of using the simplex algorithm as an alternative to solve the mixture-based likelihood for functional mapping of complex traits. The results...

We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisfiability modulo theory (SMT), using a mixture of a SAT solver and a simplex-based decision procedure for conjunctions. State-of-the-art SMT solvers use simplex implementations over rational numbers, which perform well ...