  We continue to investigate spt-type functions that arise from Bailey pairs.
In this third paper on the subject, we proceed to introduce additional spt-type
functions. We prove simple Ramanujan type congruences for these functions which
can be explained by a spt-crank-type function. The spt-crank-type functions are
actually defined first, with the spt-type functions coming from setting $z=1$
in the spt-crank-type functions. We find some of the spt-crank-type functions
to have interesting representations as single series, some of which reduce to
infinite products. Additionally we find dissections of the other spt-crank-type
functions when $z$ is a certain root of unity. Both methods are used to explain
congruences for the spt-type functions. Our series formulas require Bailey's
Lemma and conjugate Bailey pairs. Our dissection formulas follow from Bailey's
Lemma and dissections of known ranks and cranks.
