  In 1990, Klein, Lacroix, and Speis proved (spectral) Anderson localisation
for the Anderson model on the strip of width $W \geqslant 1$, allowing for
singular distribution of the potential. Their proof employs multi-scale
analysis, in addition to arguments from the theory of random matrix products
(the case of regular distributions was handled earlier in the works of
Goldsheid and Lacroix by other means). We give a proof of their result avoiding
multi-scale analysis, and also extend it to the general quasi-one-dimensional
model, allowing, in particular, random hopping. Furthermore, we prove a sharp
bound on the eigenfunction correlator of the model, which implies exponential
dynamical localisation and exponential decay of the Fermi projection.
  Our work generalises and complements the single-scale proofs of localisation
in pure one dimension ($W=1$), recently found by
Bucaj-Damanik-Fillman-Gerbuz-VandenBoom-Wang-Zhang, Jitomirskaya-Zhu,
Gorodetski-Kleptsyn, and Rangamani.
