  Recently, the concept of parity bias in integer partitions has been studied
by several authors. We continue this study here, but for non-unitary partitions
(namely, partitions with parts greater than $1$). We prove analogous results
for these restricted partitions as those that have been obtained by Kim, Kim,
and Lovejoy (2020) and Kim and Kim (2021). We also look at inequalities between
two classes of partitions studied by Andrews (2019) where the parts are
separated by parity (either all odd parts are smaller than all even parts or
vice versa).
