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MANE 6313

Week 5, Module E

Student Learning Outcome

Analyze simple comparative experiments and experiments with a single factor.

Module Learning Outcome

Evaluate Graeco-Latin Square Design.

Graeco-Latin Square Design

  • Is constructed by superimposing two Latin square designs.

  • We can have one factor and three nuisance factors in this design.

  • There is no Graeco-Latin Square model for p=6.

  • The model is given on page 140

  • The ANOVA and SS formulas are given on page 140

Problem 4.41 (9th edition)

Data in Spreadsheet

Problem 4.41 in Excel

Data Created Through Readxl

Data Created through readxl

Data Created Using R

Data Created Using R

Analysis of Variance

Analysis of Variance from R

Randomized Experiment

  • Create with package agricolae
  • Not recommended for homework problems but "real-world" usage

  • Additional steps

  • Create vector with response values

  • Create create data frame containing response values and the design book
  • Analysis with aov

Randomized Experiment, continued

Graeco Latin Square Design - agricolae

R Demonstration