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Nonparametric Statistics
Overview
- 14.1 Introduction to Nonparametric Statistics
- 14.2 Sign Test
- 14.3 Wilcoxon Signed Rank Test for Matched-Pair Data
- 14.4 Wilcoxon Rank Sum Test for Two Independent Samples
- 14.5 Kruskal-Wallis Test
- 14.6 Rank Correlation Test
- 14.7 Runs Test for Randomness
- Chapter 14 Formulas and Vocabulary
- Chapter 14 Review Exercises
- Chapter 14 Quiz
Page 14-2
Has Median Gas Mileage increased?
More than ever, the increasing price of gasoline has made consumers aware of the gas mileage of their cars, trucks, and SUVs. Has the population median gas mileage improved from 2007 to 2014? We attack this problem using the sign test in Section 14.2. Then, in Section 14.6, we test whether a rank correlation exists between the miles per gallon of the vehicles in 2007 and 2014.
THE BIG PICTURE
Where we are coming from and where we are headed …
- In earlier chapters, we learned how to perform hypothesis tests for population parameters, such as the population mean μ or the population proportion p.
- Here, in Chapter 14, we learn about a family of hypothesis tests known as nonparametric hypothesis tests, whose conditions are similar to those in earlier chapters but less stringent.
Congratulations on getting this far in your discovery of the field of statistics! Your data analytic skills will enhance your marketability in the twenty-first century workplace. Best of luck in the future!
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