We study the size of broad-line regions (BLRs) of low-luminosity active galactic nuclei (AGN), also called ‘dwarf AGN’, defined as having LHα≤ 1041 erg s−1. We more than double the sample size analysed previously by Wang & Zhang. In this study we first confirm our previous result that the sizes of BLRs of low-luminosity AGN are larger than those expected from the empirical relation RBLRs–LHα valid for ‘normal’ AGN (Seyfert 1s and quasars), except for objects with accretion rate . Secondly, we find a positive correlation between the linewidth of the narrow emission lines (as a tracer of velocity dispersion and thus bulge and black hole mass) and the size of BLRs for both normal and low-luminosity AGN. In this paper we find a non-linear dependence of the BLR sizes of low-luminosity AGN on black hole masses. We also show that the sizes of BLRs are more strongly dominated by the ‘specific accretion rate’, defined as , than by the masses of their central black holes. An expected result of this is that the size of the emission regions of low-ionization broad Hα of NGC 4395 should be consistent with the value from the empirical relation of RBLRs–LHα, according to the high accretion rate.