Specifications

Modelling can be performed with pre-defined or user-defined specifications. Specifications are sets of parameters and values assigned to them that contain all information necessary for time series modelling. The default critical values used by the tests included in the specifications can be changed by the user in the Tools → Options menu.

Pre-defined modelling specifications

The Specifications node, which belongs to the Workspace window, contains a set of the pre-defined specifications that enables the user to model the time series using two options: the TRAMO model or the RegARIMA model. The set of pre-defined modelling specifications is presented in the table below. It contains the most commonly used specifications for seasonal adjustment. The pre-defined specifications correspond to the terminology used in TSW+1. The users are strongly advised to start their analysis with one of those specifications (usually RG4c or RG5c for RegARIMA and TR4 or TR5 for TRAMO) then, if need be, to change some of the options afterwards using the Specification button. The default specification for TRAMO is TR5, while for RegARIMA it is RG4c.

Settings Transformation Pre-adjustment for leap-year Working days Trading days Easter effect Outliers ARIMA model
TR0 no no no no no no (0,1,1)(0,1,1)
TR1 test no no no no test (0,1,1)(0,1,1)
TR2 test no test no test test (0,1,1)(0,1,1)
TR3 test no test no no test AMI
TR4 test no test no test test AMI
TR5 test no no test test (Standard) test AMI
TRfull test yes no test test (Include Easter) test AMI
RG0 no no no no no no (0,1,1)(0,1,1)
RG1 test no no no no test (0,1,1)(0,1,1)
RG2c test test test no test test (0,1,1)(0,1,1)
RG3 test no test no no test AMI
RG4c test test test no test test AMI
RG5c test test no test test test AMI

Explanations for the settings:

  • Transformation test – a test is performed to choose between an additive decomposition (no transformation of the series) and a multiplicative decomposition (a logarithmic transformation of the series).
  • Pre-adjustment for leap-year – a correction of the February values applied to the original series before a logarithmic transformation. The original values in February are multiplied by 28.25/29 for leap years and by 28.25/28 for non-leap years. Values for other months are not modified.
  • Working days – a pre-test is made for the presence of the working day effect by using one calendar variable in the specification.
  • Trading days – a pre-test is made for the presence of the trading day effect by using six calendar variable in the specification.
  • Easter effect – the tests for the necessity of a correction for the Easter effect in the original series. The length of the Easter effect, which is considered here, is 6 days (for the TRAMO specifications) and 8 days (for the RegARIMA specifications).
  • Outliers – an automatic identification of three types of outliers: AO (additive outliers), LS (level shifts), TC (transitory changes) using default critical values.
  • ARIMA model – the choice between fixing the ARIMA model structure to (0,1,1)(0,1,1) or searching for the ARIMA model using an automatic model identification procedure (AMI). The (0,1,1)(0,1,1) model (called the Airline model) is used as a default model in several TRAMO/SEATS and X-13ARIMA-SEATS specifications because it has been shown in many studies that this model is appropriate for many real monthly and quarterly time series with a statistically significant seasonal pattern. Moreover, the Airline model approximates well many other models and provides an excellent “benchmark” model2.

User-defined specifications

The user may add new modelling specifications to the Workspace window. To do this, go to the Modelling section, right click on the tramo or regarima item in the specifications node and select New from the local menu. The default values of the parameters can be changed by the user. The possible options are described in the Tramo and RegArima subitems.

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Creating a new user-defined specification in the Modelling section

  1. TSW+ is a Windows extension of programs TRAMO and SEATS. See MARAVALL, A., CAPORELLO, G., PÉREZ, D., and LÓPEZ, R. (2014). 

  2. MARAVALL, A. (2009).