17
Analysis of Variance
The focus of this chapter is the development of various experimental designs involving one or more factors having fixed effects, random effects or mixed effects.
Topics Covered:
- Design model and estimable functions
- One-way experimental layouts
- Multiple comparisons
- Determination of sample size
- Kruskal–Wallis test for one-way layouts (nonparametric method)
- Randomized complete block design
- Friedman
-test for randomized complete block designs (RCB) - Experiments with one missing observation in an experiment that used a RCB design
- Experiments with several missing observations in an experiment that used a RCB design
- Two-way experimental designs
- Two-way experimental layouts with one observation per cell
- Two-way experimental layouts with r (>1) observations per cell
- Blocking in two-way experimental designs
- Extending two-way experimental designs to n-way experimental designs
- Latin square designs
- Random effects model
- Mixed effects model
- Nested (hierarchical) design
Learning Outcomes:
After studying this chapter, the reader will be able to
- Design and conduct various kinds of experiments in engineering or other scientific fields involving one or more factors.
- Eliminate effects of one or more nuisance factors using appropriate experimental designs.
- Analyze data coming out of experiments with fixed, random, or mixed effects.
- Perform residual analysis to check the adequacy ...
