X13

1. Log-level test

pre-specified means not to be tested

Model for logs

  • Transformations (to be applied in the given order)
    • Fixed regression effects
    • Interpolation of missing values
    • Log transformation
    • Length of period adjustment: pre-specified or automatic, if td included in the initial model (pre-specified or remove option)
  • ARIMA
    • Pre-specified or airline
    • Pre-specified mean correction
  • Regression
    • Pre-specified variables
    • Trading days (remove option)
    • Easter (remove option)
    • Leap year (remove option, no automatic pre-adjustment)

Model for levels

  • Transformations
    • Fixed regression effects
    • Interpolation of missing values
  • ARIMA
    • Pre-specified or airline
    • Pre-specified mean correction
  • Regression
    • Pre-specified variables
    • Trading days (remove option)
    • Easter (remove option)
    • Leap year (remove option)

Automatic pre-adjustment is not taken into account in the model in levels. When logs are chosen and automatic pre-adjustment is enabled, the model after log/level test is adapted: the length of period variable is no longer considered in the regression and is replaced by a pre-adjustment (which corresponds, in the case of a leap year correction, to a fixed regression effect of $\pm 3 \%$). If automatic pre-adjustment is disabled, the length-of-period variable remains in the regression).

2. Trading days test

The model chosen in (1) is compared with the same model with/without trading days effects.

In the case of a log transformation, a pre-adjustment or a length-of-period regression variable will be considered, following the pre-adjustment option, as discussed above.

The selection is based on an AIC test