"Testing the NAIRU Model for the United States," The Review of Economics and Statistics, 2000.Paper: pdf file
This paper tests, using U.S. data, the dynamics implied by the NAIRU view of the relationship between inflation and the unemployment rate. The results are somewhat sensitive to the measure of inflation used, but they generally reject the dynamics. An alternative way of thinking about the relationship between inflation and the unemployment rate is suggested.
The NAIRU model seems inconsistent with the data. I argue in this paper for thinking in more nonlinear terms and without the NAIRU dynamics. A more recent discussion is in 2021#3.