Two Level Factorial Designs and Yates' Analysis (UMAP)

This unit shows one way to analyze the results of a two-level factorial experiment. Students will learn how to: 1) use the Yates' method to calculate the effects when data for a two-level factorial design is given; 2) informally interpret the results of the calculation of the effects for a two-level factorial design; and 3) recognize situations for which a factorial design is appropriate.

Table of Contents:

EXPERIMENTAL DESIGNS
Introduction
Factorial Designs

THE DESCRIPTION OF AN EXPERIMENT
Background
The Main Factors
Choosing the Main Factors

A TWO-FACTOR EXPERIMENT
Main Effects
Interaction Effects
Exercises

A THREE-FACTOR EXPERIMENT
Main Effects
Interaction Effects
We Need An Algorithm
The Significance of Effects
Exercises

YATE'S METHOD
A Two-Factor Example
A Three-Factor Example
Demostrating How the Method Works
Exercises

RANDOMIZATION

REPLICATES
Introduction
A Previous Example with Two Replicates
An Experiment with a Disturbance
Exercises

SOLUTIONS TO THE EXERCISES

REFERENCES