March 2014
Intermediate to advanced
306 pages
5h 47m
English
Content preview from Statistical Hypothesis Testing with SAS and R
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Chapter 13
Tests on randomness
Section 13.1 deals with run tests. The Wald–Wolfowitz runs test, also known as the single-sample runs test, and the runs up and down test are the most common ones. For the definition of a run please refer to the Glossary (Appendix C). Section 13.2 covers successive difference tests (tests based on the difference of consecutive observations). We introduce the von Neuman test and its rank version also known as Bartels' test. All these tests are useful to test if a dataset is sampled randomly from the same distribution.
13.1 Run tests
13.1.1 Wald–Wolfowitz runs test
| Description: | Tests if a sample is sampled randomly from an underlying population. |
| Assumptions: |
|
| Hypotheses: | (A) Sequence is randomly generated |
| vs Sequence ... |
be a sequence of binary random variables with observations 
. These may also be derived as dichotomized versions of random variables with originally multinomial or quantitative output.
observations thereby contain 
elements with one of the outputs and with the other one.Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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