The aim of this paper is to investigate the errors involved by the int
ensity measure of low signal-to-noise ratio narrow emission lines. We
also studied the errors associated with line intensity ratios. The spe
ctral data acquisition was simulated by a Monte-Carlo program. These d
ata were tested for the presence of a line and the lines detected were
measured by a chi2 fitting program. This procedure generated a sample
of intensities for a given signal-to-noise ratio. From these samples,
we have established that the ''measured'' intensities are strongly bi
ased towards overestimated values and their distribution is well repre
sented by a log-normal distribution. If this phenomenon is not taken i
nto account, erroneous astrophysical conclusions may be derived. In ad
dition, we determined that a line ratio follows also a log-normal dist
ribution. Finally we provide some charts able to give the error bars a
ttached to a line intensity measurement and also to a line ratio. Thes
e charts are given in terms of signal-to-noise ratio, and can be easil
y converted into line intensities if the energy of the noise is known.