You perform one-way fixed-effects estimation via first differencing by specifying the FDONE option in the MODEL statement. The method of first differencing offers an alternative to the within estimator . Consider the following one-way fixed-effects model:
For this model, the fixed effects are removed by subtracting first-order lags from both sides of the equation:
Define and
, for
and
. You obtain the first-differenced estimator,
, and its variance by performing OLS regression of
on
.
The estimation and parameterization of are identical to that described in the section One-Way Fixed-Effects Model (FIXONE and FIXONETIME Options), with
replaced by
.
The FDONETIME option works similarly, switching the roles of cross sections and time periods in the methodology described previously.