Catalogue Optimisation toolbox 3.1.2
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Design of Experiments
Functions for Design of Experiments (DOE) help you create and test practical plans to gather data for statistical modeling. These plans show you how to manipulate your data inputs in tandem to generate infor­mation about their effect on the outputs. Supported design types include:
• Full factorial
• Fractional factorial
• Response surface (central composite and Box-Behnken)
• D-optimal
• Latin hypercube
You can use the toolbox to define, analyze, and visualize a customized DOE. For example, you can estimate input effects and input interactions using ANOVA, linear regression, and response surface modeling, and visualize results through main effect plots, interaction plots, and multi-vari charts.
Hypothesis Testing
Random variation often makes it difficult to determine whether samples taken under different conditions really are different. Hypothesis testing is an effective tool for analyzing whether sample-to-sample dif­ferences are significant and require further evaluation or are consistent with random and expected data variation.
Statistics Toolbox supports the most widely used parametric and nonparametric hypoth­esis testing procedures, such as:
• One- and two-sample t tests
• One-sample z test
• Nonparametric tests for one sample, paired samples, and two independent samples
• Distribution tests (Chi-square, Jarque-Bera, Lilliefors, and Kolmogorov-Smirnov)
• Comparison of distributions (two-sample Kolmogorov-Smirnov)
• Autocorrelation and randomness tests
• Linear hypotheses tests on regression coefficients
Fitting a decision tree to data (left). The fitting capabilities in Statistics Toolbox let you visualize a deci­sion tree by drawing a diagram of the decision rule and group assignments.
Model of a chemical reaction of an experiment using Design-of-Experiments (DOE) and surface fitting capabilities of Statistics Toolbox (above).
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