  It is shown here that a model for inertial mass, called quantised inertia, or
MiHsC (Modified inertia by a Hubble-scale Casimir effect) predicts the
rotational acceleration of the 153 good quality galaxies in the SPARC dataset
(2016 AJ 152 157), with a large range of scales and mass, from just their
visible baryonic matter, the speed of light and the co-moving diameter of the
observable universe. No dark matter is needed. The performance of quantised
inertia is comparable to that of MoND, yet it needs no adjustable parameter. As
a further critical test, quantised inertia uniquely predicts a specific
increase in the galaxy rotation anomaly at higher redshifts. This test is now
becoming possible and new data shows that galaxy rotational accelerations do
increase with redshift in the predicted manner, at least up to Z=2.2.
