Chapter 17Analysis 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 (RCB) design
- Friedman
‐test for RCB designs - 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
(
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, that involve one or more factors.
- Eliminate effects ...
Get Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP, 2nd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
