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MANE 6313

Week 6, Module B

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

Analyze factorial design using Minitab

Resources for the Week 6, Module B micro-lecture are:


Two Factor Factorial Designs

  • Will assume all factors are fixed and \(n\geq 2\)

  • A completely randomized design was used to collect the data.

  • Assume linear statistical model \(\(\begin{aligned} y_{ijk}&=&\mu+\tau_i+\beta_j+(\tau\beta)_{ij}+\varepsilon_{ijk} \left\{\begin{array}{l}i=1,2,\ldots,a\\ j=1,2,\ldots,b\\ k=1,2,\ldots,n\\ \end{array}\right.\end{aligned}\)\)

  • Sum of squares formulas are given on pages 186-188


Problem 5-9

Figure 5.9