The low-luminosity dwarf irregular galaxies are considered. The oxygen abun
dances in H II regions of dwarf irregular galaxies were recalculated from p
ublished spectra through the recently suggested P-method. It has been found
that the metallicity of low-luminosity dwarf irregular galaxies, with a fe
w exceptions, correlates well with galaxy luminosity. The dispersion of oxy
gen abundances around the metallicity-luminosity relationship increases wit
h decreasing galaxy luminosity, as was found by Richer & McCall (1995). The
absence of a relationship between the oxygen abundance and the absolute ma
gnitude in the blue band for irregular galaxies obtained by Hidalgo-Gamez &
Olofsson (1998) can be explained by the large uncertainties in the oxygen
abundances derived through the T-e-method, that in turn can be explained by
the large uncertainties in the measurements of the strengths of the weak o
xygen line [OIII]lambda 4363 used in the T-e-method.