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Design of Experiments (DOE)

Planning experiments with systematic data collection

Passive data collection leads to a number of problems in statistical modeling. Observed changes in a response variable may be correlated with, but not caused by, observed changes in individualfactors(process variables). Simultaneous changes in multiple factors may produce interactions that are difficult to separate into individual effects. Observations may be dependent, while a model of the data considers them to be independent.

Designed experiments address these problems. In a designed experiment, the data-producing process is actively manipulated to improve the quality of information and to eliminate redundant data. A common goal of all experimental designs is to collect data as parsimoniously as possible while providing sufficient information to accurately estimate model parameters.

Functions

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ff2n Two-level full factorial design
fullfact Full factorial design
fracfact Fractional factorial design
fracfactgen Fractional factorial design generators
bbdesign Box-Behnken design
ccdesign Central composite design
candexch D-optimal design from candidate set using row exchanges
candgen Candidate set generation
cordexch Coordinate exchange
daugment D-optimal augmentation
dcovary D-optimal design with fixed covariates
rowexch Row exchange
rsmdemo Interactive response surface demonstration
lhsdesign Latin hypercube sample
lhsnorm Latin hypercube sample from normal distribution
haltonset Halton quasirandom point set
qrandstream Construct quasi-random number stream
sobolset Sobol quasirandom point set
interactionplot Interaction plot for grouped data
maineffectsplot Main effects plot for grouped data
multivarichart Multivari chart for grouped data
rsmdemo Interactive response surface demonstration
rstool Interactive response surface modeling

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