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Do-it-yourself shuffling and the number of runs under randomness.

Smeeton, N.; Cox, N.J.

Authors

N. Smeeton



Abstract

A common class of problem in statistical science is estimating, as a benchmark, the probability of some event under randomness. For example, in a sequence of events in which several outcomes are possible and the length of the sequence and number of outcomes of each type known, the number of runs gives an indication of whether the outcomes are random, clustered, or alternating. This note explains and illustrates a simple method of random shuffling that is often useful. We show how the conditional probability distribution of the number of runs may be derived easily in Stata, thus yielding p-values for testing the null hypothesis that the type of outcome is random. We also compare our direct approach with that using the simulate command.

Journal Article Type Article
Publication Date 2003-07
Journal The Stata Journal
Print ISSN 1536-867X
Electronic ISSN 1536-8734
Publisher SAGE Publications
Peer Reviewed Peer Reviewed
Volume 3
Issue 3
Pages 270-277
Public URL https://durham-repository.worktribe.com/output/1598029
Publisher URL http://www.stata-journal.com/article.html?article=st0044