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MANE 6313

Week 8, Module D

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 a two-level factorial design in two blocks using R.

Problem 7.5 (9th Edition)

Problem 7.5

Problem 6.11

Data Frame Creation

Data Frame Creation Displaying Block 2

Data Frame Creation, continued

Data Frame Displaying Block 1

Half Normal Plot

  • Notice that \(\alpha\) was set to 0.25

Half Normal Probability Plot

Model 2

Model 2

Model 3

Model 3

Model 4

Model 4

Modeling Summary

  • Since single replicate was created, half normal plot is the first step
  • Set \(\alpha\) to 0.25 to match break in plot
  • Try to balance reasonable values of \(\alpha\) with shape of half normal plot
  • Prefer to use larger \(\alpha\) when starting to analyze unreplicated experiments
  • For Model 2, there as choice of using \(\alpha\)=0.05 or \(\alpha=0.1\). My preference is to make small changes in model so selected \(\alpha=0.1\). In retrospective, could have gone from model 2 to model using \(\alpha\)=0.05

R Demonstration

  • Creating data frame with two blocks