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The MODEL Procedure

INSTRUMENTS Statement

The INSTRUMENTS statement specifies the instrumental variables to be used in the N2SLS, N3SLS, IT2SLS, IT3SLS, GMM, and ITGMM estimation methods. There are two forms of the INSTRUMENTS statement:

INSTRUMENTS variables [ _EXOG_ ] ;
INSTRUMENTS [instruments] [ _EXOG_ ]
               [ EXCLUDE=( parameters ) ] [ / options ] ;
The first form of the INSTRUMENTS statement is used only before a FIT statement and defines the default instruments list. The items specified as instruments can be variables or the special keyword _EXOG_. _EXOG_ indicates that all the model variables declared EXOGENOUS are to be added to the instruments list.

The second form of the INSTRUMENTS statement is used only after the FIT statement and before the next RUN statement. The items specified as instruments for the second form can be variables, names of parameters to be estimated, or the special keyword _EXOG_. If you specify the name of a parameter in the instruments list, the partial derivatives of the equations with respect to the parameter (that is, the columns of the Jacobian matrix associated with the parameter) are used as instruments. The parameter itself is not used as an instrument. These partial derivatives should not depend on any of the parameters to be estimated. Only the names of parameters to be estimated can be specified.

EXCLUDE= (parameters)
specifies that the derivatives of the equations with respect to all of the parameters to be estimated, except the parameters listed in the EXCLUDE list, be used as instruments, in addition to the other instruments specified. If you use the EXCLUDE= option, you should be sure that the derivatives with respect to the non-excluded parameters in the estimation are independent of the endogenous variables and not functions of the parameters estimated.

The following option is specified on the INSTRUMENTS statement following a slash (/):

NOINTERCEPT
NOINT
excludes the constant of 1.0 (intercept) from the instruments list. An intercept is always included as an instrument unless NOINTERCEPT is specified.

When a FIT statement specifies an instrumental variables estimation method and no INSTRUMENTS statement accompanies the FIT statement, the default instruments are used. If no default instruments list has been specified, all the model variables declared EXOGENOUS are used as instruments.

See "Choice of Instruments" for more details.

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