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Existing studies using standard unit-root tests generally cannot reject the null hypothesis of a unit root in unemployment rates. These findings have been interpreted as support for the hysteresis hypothesis. In this paper, we analyze a panel of unemployment rates of fifteen OECD countries by using a panel-based test. The test exploits the cross-section variations of the constituent series and is more powerful. The critical values are simulated based on our specific panel sizes and time periods. It is found that the null hypothesis of a unit root in unemployment rates can be rejected in general. This casts some doubt on the hysteresis hypothesis and provides limited support for the natural-rate hypothesis of unemployment for these countries.