Fig. 4.

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Association likelihood ratios versus optical-radio separations of our observed sample. The blue histograms show the distribution for the quasar sample from this work and literature combined. We demonstrate that a similar distribution (p-value = 0.5) of separations can be created by a simple Monte Carlo simulation using the positional offsets from both the Legacy and LoTSS-DR2 catalogue. From this distribution we derive the chance of a quasar having an optical-radio separation larger than 1″ to be ∼2% when assuming no intrinsic difference in the position of the radio and optical emission.
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