Analysis of Variance

Undergraduate course, NOVA IMS - Universidade Nova de Lisboa, 2019


  • To develop skills on analysis of experiments using R;
  • To design and conduct an experiment that exhibits both a treatment design and randomization design that allow for the testing of differences between the levels of a single or multiple treatment of interest;
  • To specify an appropriate statistical model for observations resulting from a designed experiment;
  • To conduct and correctly interpret statistical hypothesis tests for the overall effect of a treatment and for the effects of contrasts;
  • To employ methods for multiple comparisons to control the experiment error rate when multiple hypothesis tests are conducted;
  • To examine model assumptions using residual plots and a description of the experiment.


  • Principles of Experimental Design and Simple Comparative Experiments
  • Experiments with a Single Factor: The Analysis of Variance
  • Blocking
  • Factorial Design


  • Montgomery, D. C. (2017). Design and analysis of experiments. John wiley & sons.
  • Lawson, J. (2014). Design and Analysis of Experiments with R. CRC Press.
  • Oehlert, G. (2000). A First Course in the Design and Analysis of Experiments. New York: W.H. Freeman. (available online for free at gary/Book.html)