We show, using simulated data, that the two-component cross-correlatio
n technique is a more discriminating method of determining the morphol
ogy of the host galaxy of a quasar than the chi2 fitting of model inte
nsity distributions to the quasar's radial intensity distribution whic
h previous authors have used. We also show that even if the signal-to-
noise is not high enough to enable galaxy morphology to be determined,
a very accurate measure of the contribution of the central point sour
ce to the image can still be made. This enables much better measuremen
ts of m(qso) and m(gal) than is possible using the methods used by pre
vious authors. We apply this method to an i-band image of PKS 2349 - 0
14 and show that the use of those methods used by previous authors wou
ld have led to significant errors in the measurement of m(gal) and m(q
so) for this object compared to those values obtained using the cross
correlation technique. Such errors could seriously affect the statisti
cal relationships which have been derived between m(qso) and m(gal) fo
r quasars and the relationships between the magnitudes of the host gal
axies of radio-loud quasars and radio-quiet quasars and similar relati
onships between quasar host galaxies and radio galaxies. We suggest th
at a re-analysis of the data using the cross correlation method may af
fect the conclusions reached and should be undertaken. We also suggest
that applying the technique to high S/N data may enable a determinati
on of host galaxy morphology at a high confidence level.