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failure of (R.2) and (R.3), in particular, are arguments that
the excluded effects are likely to be substantial in practice.
While one may be willing to assume that they are not so in
particular cases, depending on the structure of the model to
be estimated, this seems a dangerous procedure in most eco-
nomy-wide models given the high degree of approximation
which such models inevitably involve. The Proximity Theorem
in more general form will be of considerable help to us below
and is of substantial value in other contexts; for structural
estimation in economy-wide models, it seems a weak reed on
which to rest estimation by ordinary least squares.
2.5. Reduced Form Estimation
Our discussion thus far has run in terms of the estimation
of the parameters of structural equations. The simultaneous
model context in which ordinary least squares is most often
thought to be appropriate, however, is not this at all, but
rather in the estimation of the equations of the reduced form.
Here the difficulties in the use of ordinary least squares which
arise from simultaneity apparently disappear as all variables
on the right-hand side of reduced form equations are either
exogenous or lagged.
In this connection, the argument against the use of ordinary
least squares has generally run in terms of lack of asymptotic
efficiency when compared with estimates of the reduced form
which are derived from structural estimates using overidentify-
ing a priori information. Such lack of asymptotic efficiency
may be particularly important in the event of a structural break
or in the prediction of turning points (14). The argument in
favor of ordinary least squares estimates of reduced form equa-
tions has been the desirability of having forecasts of the endo-
(%) LesNoy [18]
‘61 Fisher - pag. 14