3/16/2023 0 Comments Latin hypercube designWidely used methods are fractional- and full-factorial designs, central composite designs and Box-Behnken designs.Įxamples of (a) random sampling, (b) full factorial sampling, and (c) Latin hypercube sampling, for a simple case of 10 samples (samples for τ~ U (6,10) and λ ~ N (0.4, 0.1) are shown). It means that the factors in an experiment are uncorrelated and can be varied independently. “ The orthogonality of a design means that the model parameters are statistically independent. In a helpful taxonomic discussion, Noesis Solutions observes that DOE methods can be classified into two categories: orthogonal designs and random designs. Numerous sampling methods exist to do this: which to use depends on the nature of the problem being studied, and on the resources available-time, computational capacity, how much is already known about the problem. In deciding what values to use-more precisely, in deciding a strategy for choosing values-the goal is to achieve coverage of the design space that yields maximum information about its characteristics with least experimental effort, and with confidence that the set of points sampled gives a representative picture of the entire design space. The experiment consists of exercising the model across some range of values assigned to the defined factors.A model is a mathematical surrogate for the system or process.Common factor types include continuous (may take any value on an interval e.g., octane rating), categorical (having a discrete number of levels e.g., a specific company or brand) and blocking (categorical, but not generally reproducible e.g., automobile driver-to-driver variability). A factor is any variable that the experimenter judges may affect a response of interest.A response is a measurable result-fuel mileage (automotive), deposition rate (semiconductor), reaction yield (chemical process).Integral to a designed experiment are response(s), factor(s) and a model. Even so, our recent case study was typical in referencing the Latin hypercube design-of-experiments method, the radial basis function for generating a response surface model, the non-dominated sorting evolutionary algorithm to generate a Pareto front-all prompting this look into some of the quantitative methods that drive design space exploration.ĭOE fundamentals recap-A designed experiment is a structured set of tests of a system or process. Making design exploration software speak the language of engineers and not mathematicians has been a focus of development since the industry’s inception.
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