Phillips–Perron test

In statistics, the Phillips–Perron test (named after Peter C. B. Phillips and Pierre Perron) is a unit root test.

[1] That is, it is used in time series analysis to test the null hypothesis that a time series is integrated of order 1.

It builds on the Dickey–Fuller test of the null hypothesis

might have a higher order of autocorrelation than is admitted in the test equation—making

Whilst the augmented Dickey–Fuller test addresses this issue by introducing lags of

The test is robust with respect to unspecified autocorrelation and heteroscedasticity in the disturbance process of the test equation.

Davidson and MacKinnon (2004) report that the Phillips–Perron test performs worse in finite samples than the augmented Dickey–Fuller test.