### Introduction

The GAUSS time series module TSMT provides a number of routines for performing:

- Pre-estimation data analysis.
- Model parameter estimation.
- Post-estimation diagnosis.

These tutorials are aimed at illustrating the use of the GAUSS application TSMT 3.0 for performing the fundamentals of time-series analysis.

## Load the TSMT library

In order to use the procedures in the TSMT library, the library must be actively loaded. This is done using the GAUSS `library`

statement:

```
// Make the functions in the 'tsmt'
// library available for use
library tsmt;
```

## Data matrix inputs

Both independent and dependent data matrices (when applicable) can be directly inputted as arguments into TSMT functions.

In functions where independent data is optional, it is included as an optional argument to the function. As an example, consider the `varmaFit`

procedure:

```
// Inputs in square brackets are optional
vout = varmaFit(y, p [, d, q, x, vmc]);
```

Now consider using `varmaFit`

to run a VAR(3) model **with** dependent data and **without** exogenous data. In this case, only the dependent data matrix and the AR order are required:

```
// Create file name with full path
fname = getGAUSSHome() $+ "pkgs/tsmt/examples/mink.csv";
// Load two variables into the matrix 'y'
y = loadd(fname, "LogMink + LogMusk");
// Perform estimation
call varmaFit(y, 3);
```

## Data direct from a dataset

Formula strings allow you to represent a model or collection of variables in a compact and intuitive manner using the variable names in the dataset.

In a model with a dependent variable, the dependent variable will be listed first, followed by a tilde `~`

and
then the independent variables.
For a simple example, consider the case of a linear model:

$$weight = \alpha + \beta_1*height + \epsilon_t$$

The correct formula string would be: `"weight ~ height"`

. Complete details regarding the
use of formula strings is provided in Section 9.11 of the GAUSS help or in the Formula String Tutorials.

As an example of the use of a formula string in TSMT let's again consider `varmaFit`

:

```
// Create file name with full path
fname = getGAUSSHome() $+ "pkgs/tsmt/var_enders_trans.dat";
// Perform estimation using all variables in the file
call varmaFit(fname, ".", 3 );
```

### Conclusion

You have learned how:

- The TSMT functions are made available with the library statement.
- Data can be passed to TSMT functions as matrices, or as a dataset name with a formula string.

The next tutorial will examine using TSMT to simulate ARIMA data.