Statistics: runstest

### Function Reference: `runstest`

statistics: h = runstest (x)
statistics: h = runstest (x, v)
statistics: h = runstest (x, `"ud"`)
statistics: h = runstest (…, Name, Value)
statistics: [h, pval, stats] = runstest (…)

Run test for randomness in the vector x.

`h = runstest (x)` calculates the number of runs of consecutive values above or below the mean of x and tests the null hypothesis that the values in the data vector x come in random order. h is 1 if the test rejects the null hypothesis at the 5% significance level, or 0 otherwise.

`h = runstest (x, v)` tests the null hypothesis based on the number of runs of consecutive values above or below the specified reference value v. Values exactly equal to v are omitted.

`h = runstest (x, `"ud"`)` calculates the number of runs up or down and tests the null hypothesis that the values in the data vector x follow a trend. Too few runs indicate a trend, while too many runs indicate an oscillation. Values exactly equal to the preceding value are omitted.

`h = runstest (…, Name, Value)` specifies additional options to the above tests by one or more Name-Value pair arguments.

Name |  | Value
--- | --- | ---
`"alpha"` |  | the significance level. Default is 0.05.
`"method"` |  | a string specifying the method used to compute the p-value of the test. It can be either `"exact"` to use an exact algorithm, or `"approximate"` to use a normal approximation. The default is `"exact"` for runs above/below, and for runs up/down when the length of x is less than or equal to 50. When testing for runs up/down and the length of x is greater than 50, then the default is `"approximate"`, and the `"exact"` method is not available.
`"tail"` |  | a string specifying the alternative hypothesis

| `"both"` |  | two-tailed (default)
| `"left"` |  | left-tailed
| `"right"` |  | right-tailed

See also: signrank, signtest

Source Code: runstest