Probability and Statistics for Engineers and Scientists, Updated 9th Edition, by Pearson

Chapter 13

One-Factor Experiments: General

13.1 Analysis-of-Variance Technique

In the estimation and hypothesis testing material covered in Chapters 9 and 10, we were restricted in each case to considering no more than two population parameters. Such was the case, for example, in testing for the equality of two population means using independent samples from normal populations with common but unknown variance, where it was necessary to obtain a pooled estimate of σ².

This material dealing in two-sample inference represents a special case of what we call the one-factor problem. For example, in Exercise 10.35 on page 377, the survival time was measured for two samples of mice, where one sample received a new serum for leukemia treatment and the ...