Congruences for $q$-binomial coefficients

We discuss $q$-analogues of the classical congruence $\left(\genfrac{}{}{0px}{}{ap}{bp}\right)\equiv \left(\genfrac{}{}{0px}{}{a}{b}\right)(\mathrm{m}\mathrm{o}\mathrm{d}{p}^3)$, valid for primes $p>3$, as well as its generalisations. In particular, we prove related congruences for ($q$-analogues of) integral factorial ratios.