  Andrews imposed parity restrictions on the Rogers-Ramanujan-Gordon type
partitions, yielding fruitful results. These results were later, advanced by
Kur\c{s}ung\"{o}z, Kim, and Yee. In this paper, we construct a bijection
between lattice paths with three kinds of unitary steps and the
Rogers--Ramanujan--Gordon type partitions. We give some results involving
parity considerations on lattice paths by this bijection which are Andrews'
partition results counterpart. We also give some new results on lattice paths.
