X-13ARIMA-SEATS has several diagnostics for determining whether an original time series is seasonal and for detecting residual seasonality in an adjusted series. However, seasonality diagnostics are more limited for quarterly series, as the spectrum diagnostic is available only for monthly series. Familiar diagnostics that are available for quarterly series either apply only to X-11 adjustments and not to SEATS adjustments or require an additional run. X-13ARIMA-SEATS's newest seasonality diagnostics are the QS statistics, which were first available in the Bank of Spain’s SEATS software. They measure positive seasonal autocorrelation in the original and adjusted series and are available for both monthly and quarterly, X-11 and SEATS adjustments. This paper compares their efficacy in finding seasonality to that of the spectrum, the F-test of seasonal regressors, and various X-11 diagnostics using both real U.S. Census Bureau series and simulated seasonal and nonseasonal series.

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Time Series and Seasonal Adjustment Working Papers

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