<aside> 🎯 This lecture note contains a summary of what I have learned about experimental design, also known as design of experiments (DOE). Here are some disclaimers:

• The contents of this note are based on the following course:
  • STAT-5303 Experimental Designs offered by Oklahoma State University.
  • Design of Experiments Specialization offered by Arizona State University, hosted by Coursera.
• The contents of this note are also based on the following books:
  • Dean, Voss, Draguljić (2017). Design and Analysis of Experiments (2nd Edition).
  • Kuehl (2000). Design of Experiments - Statistical Principles of Research Design and Analysis (2nd Edition).
  • Montgomery (2017). Design and Analysis of Experiments (9th Edition).
  • Oehlert (2010). A First Course in Design and Analysis of Experiments. </aside>

Research Design Principles

ANOVA and Fixed Effects Models

Random Effects and Mixed Models

Complete Block Designs

1. The three basic principles of experimental design are randomization, replication, and blocking. Sometimes we add the factorial principle to these three.
   1. By randomization we mean that both the allocation of the experimental material and the order in which the individual runs of the experiment are to be performed are randomly determined.
   2. By replication we mean an independent repeat run of each factor combination.
   3. Blocking is a design technique used to improve the precision with which comparisons among the factors of interest are made.