Speech telecommunication systems are most frequently used in conversational situations. In this regard, assessing the quality of conversational speech is the fundamental requirement for system developers to classify and evaluate their systems. However, it is not enough to provide information about the overall quality, but also to point out sources for possible quality-losses. We present a follow-up study to analyze such perceptual speech quality dimensions in a conversational situation. Until now, seven perceptual quality dimensions have been determined in separate studies. In this contribution, we review all dimensions and validate them in an extensive conversational experiment. This study leads to a deep analysis of perceptual speech quality in a conversational situation.