MANE 6313¶

Week 7, Module F¶

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 Single Replicate of a 2^k with Center Points using R

Adding Center Points¶

Good idea if possible. Allows test for non-linearity
Requires quantitative factors
Will allow for lack of fit test and test for pure quadratic curvature
Notation

\[ \begin{aligned} n_c&:\mbox{ number of center points}\\ n_f&:\mbox{ number of observations at factorial points}\\ \bar{y}_f&:\mbox{ the average value at the factorial points}\\ \bar{y}_c&:\mbox{ the average value at the center point} \end{aligned} \]