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We examine the possibility that a claimed dependence of the FR 1/2 breakvalue in radio luminosity on the absolute magnitude of the optical host galaxycould be due to the Malmquist bias, where a redshift-luminosity correlationappears in a flux-limited sample because of an observational selection effect.In such a sample, the redshift dependence of a phenomenon could appear as aluminosity-dependent effect and may not be really representing an intrinsicproperty of the radio sample. We test this on the radio complete MRC (MolongloReference Catalog) sample, where Spearman rank correlation and Kendall rankcorrelation tests show that the correlations are indeed stronger between theredshift and the optical luminosity than that between the radio luminosity andthe optical luminosity, suggesting that the latter correlation perhaps arisesbecause of the Malmquist Bias. We further show that similar effects of theMalmquist bias could also be present elsewhere in other correlations claimed inthe literature between the radio luminosity and other observed properties ofFR1 and FR2 sources.

Fanaroff-Riley dichotomy of radio galaxies and the Malmquist bias