Comparing Run Chart and Runs Testsmain topic see also
Comparing Run Chart and Runs TestsMinitab provides two tests for randomness: Runs Test and Run Chart. Use Runs Test with individual observations and tests for randomness without looking for specific nonrandom patterns.
Runs Test bases its test for randomness on the number of runs above and below the mean by default, but you can specify the median. When the subgroup size is one, and you specify the median (instead of the default mean), Runs Test and Run Chart perform the same test.
Run Chart displays the one-sided probabilities associated with the test statistic. In contrast, Runs Test uses a two-sided test. Thus, the p-value reported by Runs Test is approximately twice as large as the smaller p-value reported by Run Chart.