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MANE 6313

Week 5, Module C

Student Learning Outcome

Analyze simple comparative experiments and experiments with a single factor.

Module Learning Outcome

Evaluate Latin Square designs.

Resources for the Week 5, Module A micro-lecture are:

Latin Square Design

  • Design that allows the elimination of two nuisance sources of variability.

  • Each row and column represents a restriction on randomization (number of rows=number of columns=number of treatments)

  • The statistical model is

\[ y_{ijk}=\mu+\alpha_i+\tau_j+\beta_k+\varepsilon_{ijk}\;\;\left\{\begin{array}{l}i=1,2,\ldots,p\\ j=1,2,\ldots,p\\ k=1,2,\ldots,p\end{array}\right. \]

where \(\alpha_i\) is the \(i\)th row effect, \(\tau_j\) is the \(j\)th treatment effect, and \(\beta_k\) is the \(k\)th column effect

  • ANOVA and SS formulas given on pg. 155.

Problem 4.28

problem 4.28

Problem 4.28, continued

problem 4.28

Problem 4.28, continued

problem 4.28

Problem 4.28, continued

  • Minitab Demonstration