  Gamma-Ray Bursts (GRBs) are panchromatic, highly energetic transients whose
energy emission mechanism is still debated. One of the possible explanations is
the standard fireball model, which can be tested with the closure relations
(CRs), or relations between the temporal and spectral indices of a GRB. To test
these, we compile an extensive sample of radio afterglow light curves (LCs)
that span from 1997 to 2020, the most comprehensive analysis of GRBs with radio
observations to date. We fit 202 LCs from 82 distinct GRBs with a broken power
law, obtaining a sample of 26 that display a clear break and a subsample of 14
GRBs that present a radio plateau. We test these samples against CRs
corresponding to a constant-density interstellar medium (ISM) or a stellar wind
medium in both fast- and slow-cooling regimes, as well as three additional
density profiles, $k = 1, 1.5, 2.5,$ following $n \propto r^{-k}$ , and
consider sets of CRs both with and without energy injection. We find that 12 of
the 26 GRBs (46%), of which 7/12 present a radio plateau, fulfill at least one
CR in the sets tested, suggesting our data is largely incompatible with the
standard fireball model. Of the fulfilled CRs, the most preferred environment
is the ISM, SC, $\nu_m < \nu < \nu_c$ without energy injection. Our results are
consistent with previous studies that test the standard fireball model via the
CRs in radio.
