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Chapter 15: Chi-Square Tests

CHAPTER 15

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Chi-Square Tests

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You should study the topics in this chapter if you need to review

or want to learn about

Properties of the chi-square distribution

The chi-square test for goodness-of-fit

The chi-square test for independence

Benford’s Law

15 - 1 Introduction

Here we will study a special probability distribution called the chi-square

(

) distribution. We will discuss the properties of the distribution and use

it to test for goodness-of-fit and independence. As with the

-distribution,

this chi-square distribution will depend on its degrees of freedom

.

Figure

15-1

shows examples or a family of this distribution with varying degrees of

freedom.