  In this paper, we provide general central limit theorems (CLT's) for
associated random variables (rv's) following the approaches used by Newman
(1980) and Olivera et al.(2012). Given some assumptions, a
Lyapounov-Feller-Levy type theorem is stated. We next specify different
particular CLT versions of associated sequences based on moment conditions. A
comparison study with available CTL's is performed. As a by-product, we
complete an important available theorem where an assumption was missing.
