We describe and apply the methods that have been developed to calibrat
e the Advanced Stokes Polarimeter and to compensate for the polarizati
on effects introduced by the Vacuum Tower Telescope at the National So
lar Observatory/Sunspot. A seven-parameter model of the telescope is f
itted to data obtained at a variety of mirror angles using observation
s of both the center of the solar disk and that point within a sunspot
umbra at which the magnetic field is oriented as close to the line of
sight as possible. The response matrix of the polarimeter itself is d
etermined by the use of polarizing calibration optics that modify the
polarization state of the beam exiting the telescope but before enteri
ng the polarimeter. A global least-squares solution is obtained simult
aneously for the response matrix and the telescope parameters. A detai
led gain-correction procedure is described that reduces the multiplica
tive gain errors in the spectral images to typically less than 1%. We
have successfully recovered net-linear polarization profiles with peak
amplitudes of 1 x 10(-3)I(c) against an instrumentally produced backg
round polarization of similar or equal to 1-5 x 10(-2)I(c). Net-polari
zation signals smaller than similar or equal to 3 x 10(-4)I(c) are los
t, even with sufficient averaging, in a background due to photometric
and other calibration errors.