EMS Tables

"EMS" stands for "Expected Mean Square".
An EMS table is a method for determining the appropriate numerators and denominators for the F-tests performed during an ANOVA study.  The form of the EMS table depends on several things, to include:
  • the form of the model equation,
  • the type of effects (fixed, random, or mixed; see link) and associated hypotheses, and
  • any restrictions on randomization, to including blocking, nesting, etc.
Both Hick's and Montgomery's texts provide reasonably easy to understand instructions for creating an EMS table for a study.  (see attached .pdf files for excerpts)
For an in-depth study of the theory behind fixed, random, and mixed effects models, see the book "Variance Components" by Searle, Casella, and McCulloch.

Subpages (1): EMS Table Rules