MANE 6313¶

Week 5, Module D¶

Student Learning Outcome¶

Analyze simple comparative experiments and experiments with a single factor.

Module Learning Outcome¶

Evaluate Latin Square designs.

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