The primary focus in this lesson was to establish the foundation for developing mathematical models in a one-way ANOVA setting. The effects model was discussed, along with the ANOVA model assumptions and diagnostics. The other focus was to illustrate how SAS/Minitab/R can be utilized to run an ANOVA model. Details on SAS/Minitab/R ANOVA basics together with guidance in the interpretation of the outputs were provided. Software-based diagnostics tests to detect the validity of model assumptions were also discussed together with the power analysis procedure which computes any one of the four quantities, sample size, power, effect size, and the significance level, given the other three.

The next lesson will be a continuation of this lesson. Three more different versions of ANOVA model equations that represent a single factor experiment will be discussed. These are known as Overall Mean, Cell Means, and Dummy Variable Regression models.