Broadband dielectric spectroscopy (BDS) of pure 5OCB and nanocolloids consisting of 5OCB and paraelectric or ferroelectric BaTiO3 nanoparticles (NPs) was performed on varying pressure or temperature. We found strong impact of NPs on static and dynamic phase behavior. In particular, strongest effects on pretransitional behavior were observed for a relatively low concentration of NPs which we attribute to the NPs-induced disorder. Paramagnetic or ferromagnetic character of NPs did not significantly influence measurements. However, several features measured using temperature or pressure path in nanocolloids where significantly different, contrary to the observed behaviour in pure LC compounds. Dynamical properties were tested using the FDSE (fractional Debye-Stokes-Einstein) relation, yielding the fractional coefficient S = 0.71 and S = 0.3 for the temperature and pressure path, respectively.