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MANE 6313

Week 14, Module A

Student Learning Outcome

  • Select an appropriate experimental design with one or more factors,
  • Select an appropriate model with one or more factors,
  • Evaluate statistical analyses of experimental designs,
  • Assess the model adequacy of any experimental design, and
  • Interpret model results.

Module Learning Outcome

Evaluate central composite designs using R


Central Composite Design in R


ccd.pick()


Example Problem


Data from Example Problem


ccd() to Create Data Frame


ccd() with Uncoded Data


Adding Response Variable


First Model - Coefficients


First Model - Anova


Model Refinement

  • Used \(\alpha=0.05\) for decision making

  • Terms to Keep (8)

  • x1, x2, x3, x1:x2, x1:x3, x1^2, x2^2, x3^2

  • Terms to Remove (12)

  • x4, x5, x1:x4, x1:x5, x2:x3, x2:x4, x2:x5, x3:x4, x3:x5, x4:x5, x4^2, x5^2


Reduced Model


Partial F-test