Design and Analysis of Experiments by Douglas Montgomery: A Supplement for Using JMP

2Simple Comparative Experiments

Section 2.2 Basic Statistical Concepts

Section 2.4.1 Hypothesis Testing

Section 2.4.3 Choice of Sample Size

Section 2.5.1 The Paired Comparison Problem

Section 2.5.2 Advantages of the Paired Comparison Design

The problem of testing the effect of a single experimental factor with only two levels provides a useful introduction to the statistical techniques that will later be generalized for the analysis of more complex experimental designs. In this chapter, we develop techniques that will allow us to determine the level of statistical significance associated with the difference in the mean responses of two treatment levels. Rather than only considering the difference between the mean responses across the treatments, ...