The AUTOREG Procedure

The RESTRICT statement provides constrained estimation. The syntax of the RESTRICT statement is

RESTRICT equation , ..., equation ;

The RESTRICT statement places restrictions on the parameter estimates for covariates in the preceding MODEL statement. Any number of RESTRICT statements can follow a MODEL statement. Several restrictions can be specified in a single RESTRICT statement by separating the individual restrictions with commas.

Each restriction is written as a linear equation composed of constants and parameter names. Refer to model parameters by the name of the corresponding regressor variable. Each name used in the equation must be a regressor in the preceding MODEL statement. Use the keyword INTERCEPT to refer to the intercept parameter in the model.

The following is an example of a RESTRICT statement:

```   model y = a b c d;
restrict a+b=0, 2*d-c=0;
```

When restricting a linear combination of parameters to be 0, you can omit the equal sign. For example, the following RESTRICT statement is equivalent to the preceding example:

```   restrict a+b, 2*d-c;
```

The following RESTRICT statement constrains the parameters estimates for three regressors (X1, X2, and X3) to be equal:

```   restrict x1 = x2, x2 = x3;
```

The preceding restriction can be abbreviated as follows.

```   restrict x1 = x2 = x3;
```

Only simple linear combinations of parameters can be specified in RESTRICT statement expressions; complex expressions involving parentheses, division, functions, or complex products are not allowed.

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