O'Reilly logo

Statistics and Probability with Applications for Engineers and Scientists by Irwin Guttman, Bhisham C. Gupta

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

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 img-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 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required