Forecasting, Seasonal Adjustment, and Signal Extraction with uSimX13 in iMetrica


Figire 0. The uSimX13 module in iMetrica provides interactive and dynamic forecasting and signal extraction powered by X-13-ARIMA-SEATS. 


The uSimX13-SEATS (uSimX13) module featured in the iMetrica software suite is an interactive graphical user-interfaced time series modeling and simulation environment. The main attraction of uSimX13 is that it features computational modeling routines from the X- 13ARIMA-SEATS (X-13A-S) software developed and published by the Census Bureau of the US Department of Commerce. The uSimX13 environment offers a unique time series modeling software with the primary goal of analyzing economic time series data using the most commonly used features of X-13ARIMA-SEATS, while providing a large array of classical and modern goodness-of-fit tests to assess different model fits of the data, many different graphical representations of the time series data, adaptive time series decomposition capabilities, and much more all while being accessible to both beginners in the field of econometrics wanting to visualize frequently used tools, and practitioners wanting to obtain forecasts, seasonal/trend adjustments, and/or test and apply regression components to their data.

While there are other X-13A-S “engines” and interfaces in existence, including the original Fortran program and the excellent R package entitled seasonal , uSimX13 in comparison serves to provide most of the commonly used and important features of X-13-ARIMA-SEATS without the use of any programming interface – one simply loads the data into the module (I will show how in this article), and then all the aspects of the modeling, including forecasting, seasonal adjustment, auto-model, and model selection, can be done with just using the iMetrica user-interface. In addition, several interactive features are available to aid in model selection in determining the best model fit for one’s data, some of which are not available in the original Fortran program nor the R package.

To get started, once iMetrica has been launched, the easiest way to get data into the uSimX13 module is to click on the uSimX13 tab, and then access the menu for the uSimX13 tab at the top in the menu bar, as shown in Figure 1.


Figure 1. Opening the uSimX13 menu and selecting Open Data File

For a single data file, click ‘Open Data File’ and a file selection dialog box will appear to choose your data file. I have included a few dozen example real economic time series in the folder called ‘data’ that comes with the iMetrica distribution on my Github. The data files accepted for uSimX13 are very trivial, in that they are simply numerical values given for each time period in each row. If there is a date associated with each time series observation, the date and the observation must be seperated by either a comma or a space. There is also the option of loading in many time series, and this can be achieved by selecting ‘Open Metafile’, and choosing a file that lists all the files to the time series that need to be loaded. It is assumed that all the files are found in the same folder as the Metafile. An example is also given in the ‘data’ directory. Scrolling though the different series that were uploaded can be achieved by accessing the menu, then selecting ‘Simulator Panel’. This will bring up a satellite panel, where on the bottom right you will see a scroll bar with all the loaded time series.

Once the data has been loaded in uSimX13, you will see a plot of the data automatically on the main plotting canvas. The plot should be gray at this point. To turn on the automatic features of the module and begin analyzing, click on ‘Activate uSimX13 engine’ as showm io Figure 1.


With the uSimX13 engine activated, this essentially turns on all the automatic estimation components of X-13-AS. The original data will be plotted in cyan, while all the extraction signals will be accessible through clicking on the checkbars in the control panel. One can change the modeling SARIMA dimensions, add outlier or other regression detection components, and visualize automatically the changes in the extracted components. All signal extraction and goodness-of-fit diagnoistcs are shown on the bottom of the control panel.

Once the data has been loaded in, one exploratory feature on the module is the ‘Sliding Span Activate’ that offers a unique approach to model selection and goodness-of-fit by addressing multi-step ahead forecasting error on ‘test’ portions of the data. Such analysis can be readily achieved by using the ‘Sliding Span Activate’ component along with the ‘Sweep Time Series Control Panel’. Further details of this interactive model selection feature can be found in one of my previous articles on model selection here.

That will get you started with the basic features in loading data into the model. To learn more, click on the .pdf file here usimx13 for a full guide on how to use all the components in the uSimX13, including a quick guide on the inference of model selection with signal extraction goodness-of-fit diagnostics that was featured in a recent paper by myself and colleague Tucker McElroy here .

Coming next week: Interactive modeling with State Space and RegComponent models using the State Space Modeling module in iMetrica.







iMetrica for Linux Ubuntu 64 now available

The MDFA real-time signal extraction module

The MDFA real-time signal extraction module

My first open-source release of iMetrica for Linux Ubuntu 64 can now be downloaded at my Github, with a Windows 64 version soon to follow. iMetrica is a fast, interactive, GUI-oriented software suite for predictive modeling, multivariate time series analysis, real-time signal extraction, Bayesian financial econometrics, and much more.

The principal use of iMetrica is to provide an interactive environment for the numerical and visual analysis of (multivariate) time series modeling, real-time filtering, and signal extraction. The interactive features in iMetrica boast a modeling and graphics environment for analysts, practitioners, and students of econometrics, finance, and real-time data analysis where no coding or modeling experience is necessary. All the system needs is data which can be piped into the system in many forms, including .csv, .txt, Google/Yahoo Finance, Quandle, .RData, and more. A module for connecting to MySQL databases is currently being developed. One can also simulate their own data from a one or a combination of several different popular data generating models.

With the design intending to be interactive and self-enclosed, one can change modeling data/parameter inputs and see the effects in both graphical and numerical form automatically. This feature is designed to help understand the underlying mechanics of the modeling or filtering process. One can test many attributes of the modeling or filtering process this way both visually and numerically such as sensitivity, nonlinearity, goodness-of-fit, any overfitting issues, stability, etc.

All the computational libraries were written in GNU C and/or Fortran and have been provided as Native libraries to the Java platform via JNI, where Java provides the user-interface, control, graphics, and several other components in a module format, and where each module specializes in a different data analysis paradigm. The modules available in this open-source version of iMetrica are as follows:

1) Data simulation, modeling and fitting using several popular econometric models

  • (S)ARIMA, (E)GARCH, (Multivariate) Factor models, Stochastic Volatility, High-frequency volatility models, Cycles/Trends, and more
  • Random number generators from several different types of parameterized distributions to create shocks, outliers, regression components, etc.
  • Visualize in real-time all components of the modeling process

2) An interactive GUI for multivariate real-time signal extraction using the multivariate direct filter approach (MDFA)

  • Construct mulitvariate MA filter designs, classical ARMA ZPA filtering designs, or hybrid filtering designs.
  • Analyze all components of the filtering and signal extraction process, from time-delay and smoothing control, to regularization.
  • Adaptive real-time filtering
  • Construct financial trading signals and forecasts
  • Includes a real-time/frequency analysis module using MDFA

3) An interactive GUI for X-13-ARIMA-SEATS called uSimX13

  • Perform automatic seasonal adjustment on thousands of economic time series
  • Compare SARIMA model choices using several different novel signal extraction diagnostics and tools available only in iMetrica
  • Visualize in real-time several components of modeling process
  • Analyze forecasts and compare with other models
  • All of the most important features of X-13-ARIMA-SEATS included

4) An interactive GUI for RegComponent (State Space and Unobserved Component Models)

  • Construct unobserved signal components and time-varying regression components
  • Obtain forecasts automatically and compare with other forecasting models

5) Empirical Mode Decomposition

  • Applies a fast adaptive EMD algorithm to decompose nonlinear, nonstationary data into a trend and instrinsic modes.
  • Visualize all time-frequency components with automatically generated 2D heat maps.

6) Bayesian Time Series Modeling of ARIMA, (E)GARCH, Multivariate Stochastic Volatility, HEAVY models

  • Compute and visualize posterior distribtions for all modeling parameters
  • Easily compare different model dimensions

7) Financial Trading Strategy Engineering with MDFA

  • Construct financial trading signals in the MDFA module and backtest the strategies on any frequency of data
  • Perform analysis of the strategies using forward-walk schemes
  • Automatically optimize certain components of the signal extraction on in-sample data.
  • Features a toolkit for minimizing probability of backtest overfit

Tutorials on how to use iMetrica can be found on this blog and will be added on a weekly basis, with new tools, features, and modules being added and improved on a consistent basis.

Please send any bug reports, comments, complaints, to