MANE 6313
Week 6, 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
Assessing multiple comparisons
Multiple Comparison
- When the analysis indicates that a main effect factor(s) or interaction are/ is significant, we can employ multiple comparisons techniques on those statistically significant terms
- Only appropriate for fixed model
- Care must be taken when dealing with interactions
- Analysis is very similar to the approach used in One-Way Analysis of Variance in Week 4
Problem 5.9 - Analysis of Variance
Tukey's Procedure
R Output
- Performs Tukey's Procedure for main effects and two-factor interaction
-
Notice number of comparisons
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For Feed Rate with 3 levels, there are \({3\choose 2} = 3\) comparisons
- For Depth of Cut with 4 levels, there are \({4\choose 2}=6\) comparisons
- For the Feed Rate:Depth of Cut interaction with 12 levels, there are \({12\choose 2}=66\) comparisons
Graphical Tukey's Analysis
Graphical Tukey's Analysis - Feed Rate
Graphical Tukey's Analysis - Depth of Cut
Graphical Tukey's Analysis - Interaction
