The period-luminosity (PL) relation zero-point determination from Hipparcos
trigonometric parallaxes of Cepheids is contentious. It is shown that the
method used by Feast & Catchpole is equivalent to a standard minimization o
f sum of squares, and that it is free of Lutz-Kelker bias. The same techniq
ue is applied to RR Lyrae and field HB star data, the PL relation being rep
laced by a luminosity-metallicity relation.