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Statistics in a Nutshell, 2nd Edition
book

Statistics in a Nutshell, 2nd Edition

by Sarah Boslaugh
November 2012
Beginner content levelBeginner
594 pages
19h 6m
English
O'Reilly Media, Inc.
Content preview from Statistics in a Nutshell, 2nd Edition

Chapter 6. The t-Test

The t distribution was introduced by a chemist working in quality control for the Guinness brewery in Ireland, William Sealy Gosset. Gosset described the t distribution in an article under the pseudonym Student; hence, the t distribution is sometimes called the Student’s t distribution and the t-test the Student’s t-test. There are three major types of t-test, all of which are concerned with testing the difference between means and involve comparing a test statistic to the t distribution to determine the probability of that statistic if the study’s null hypothesis is true. The one-way analysis of variance (ANOVA) procedure with two groups is mathematically equivalent to the t-test, but the t-test is used so commonly that it deserves its own chapter. In addition, understanding the logic of the t-test should make it easier to follow the logic of more complex ANOVA designs.

The t Distribution

If you’re not familiar with inferential statistics, it might be wise to review Chapter 3 before continuing with this chapter. One basis for inferential statistics is the use of known probability distributions to make inferences about real data sets. In Chapter 3, we discussed the normal and binomial distributions; in this chapter, we discuss the t distribution. Like the normal distribution, the t distribution is continuous and symmetrical. Unlike the normal distribution, the shape of the t distribution depends on the degrees of freedom for a sample, meaning the number of values ...

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Publisher Resources

ISBN: 9781449361129Errata Page