Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data
Citations
3,672 citations
Cites background or methods from "Experiments with Mixtures: Designs,..."
...Specific experimental designs (and linear model forms) exist for experiments that combine mixture and process variables (see Cornell (2002) for more details)....
[...]
...Specific experimental designs (and linear model forms) exist for experiments that combine mixture and process variables (see Cornell (2002) for more details). Yeh (1998) takes a different approach to modeling concrete mixture experiments....
[...]
...Yeh (2006) describes a standard type of experimental setup for this scenario called a mixture design (Cornell 2002; Myers and Montgomery 2009)....
[...]
...Yeh (2006) describes a standard type of experimental setup for this scenario called a mixture design (Cornell 2002; Myers and Montgomery 2009). Here, boundaries on the upper and lower limits on the mixture proportion for each ingredient are used to create multiple mixtures that methodically fill the space within the boundaries. For a specific type of mixture design, there is a corresponding linear regression model that is typically used to model the relationship between the ingredients and the outcome. These linear models can include interaction effects and higher-order terms for the ingredients. The ingredients used in Yeh (2006) were:...
[...]
...Specific experimental designs (and linear model forms) exist for experiments that combine mixture and process variables (see Cornell (2002) for more details). Yeh (1998) takes a different approach to modeling concrete mixture experiments. Here, separate experiments from 17 sources with common experimental factors were combined into one “meta-experiment” and the author used neural networks to create predictive models across the whole mixture space. Age was also included in the model. The public version of the data set includes 1030 data points across the different experiments, although Yeh (1998) states that some mixtures were removed from his analysis due to nonstandard conditions....
[...]
1,096 citations
Cites background from "Experiments with Mixtures: Designs,..."
...Doptimal design [54,55] is an example of a DOE algorithm that can take a set of constraints, such as the ones described above, in combination with a target analytical model and determine the optimal set of experimental points to test....
[...]
1,020 citations
Cites methods from "Experiments with Mixtures: Designs,..."
...First, a set of uniformly distributed points on a unit hyperplane are generated using the canonical simplex-lattice design method [65] { ui = ( u(1)i , u 2 i , ....
[...]
813 citations
535 citations