Contents

A2. The Multivariate Normal Distribution

• The Multivariate Normal Distribution
• Testing for Multivariate Normality
  • Graphical tests: Chi-square plots
  • Mardina's test: Multivariate skewness and kurtosis
• The Multivariate Breeders' Equation
  • Gaussian Fitness Functions

PDF versions of a recent draft of this chapter are available. Feel free to use this for personal and/or class use until the book is available. Please note that these are copyrighted and that I would greatly appreciate feedback . Public domain PDF viewers (for Unix, Mac, Windows, DOS) can be found at Adobe's WWW site . Note that while the screen view can look funny in places, the printed output is fine.

• Appendix 2 PDF file ( v. 13 December 2000): (510 K, 13 typeset pages)

Programs

• A Mathematica notebook that computes and plots the within- and between-generation changes in the phenotypic and genotypic values for a bivariate character under a Gaussian infinitesimal model.

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Bruce Walsh. jbwalsh@u.arizona.edu . Comments welcome.