In this work, we search for empirical relationships for irregular dwarf galaxies using a collection of observational data published in the NASA and HyperLeda databases. Using a complex statistical analysis, we calculated correlation coefficients between various physical parameters of irregular dwarf galaxies. We found strong correlations between mass and distance, apparent stellar magnitude and distance, mass and absolute magnitude, redshift, and mass for all types of irregular dwarf galaxies as well as for their individual types.