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The TSCSREG Procedure |
The specification for the two-way fixed effects model is
Let X* and y* be the independent and dependent
variables arranged by time and by cross section within each time period.
Let Mt be the number of cross sections observed in year t and
let . Let Dt be the
Mt × N matrix obtained
from the N × N identity matrix from which rows corresponding to
cross sections not observed at time t have been omitted.
Consider
Let
The estimators for the intercept and the fixed effects are given by the usual OLS expressions.
The estimate of the regression slope coefficients is given by
The estimator of the error variance is
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