Chapter 12

Analysis of Variance

LEARNING OBJECTIVES

After studying this chapter, you should be able to

  • understand how ‘analysis of variance’(ANOVA) can be used to test for the equality of three or more population means.

  • understand and use the terms like ‘response variable’, ‘a factor’ and ‘a treatment’ in the analysis of variance.

  • learn how to summarize F-ratio in the form of an ANOVA table.

There is no merit in equality unless it be equality with best.

—John Spalding

12.1 INTRODUCTION

In Chapter 10 we introduced hypothesis testing procedures to test the significance of differences between two sample means to understand whether the means of two populations are equal based upon two independent random samples. In all these cases the null ...

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