How to measure the perceptual quality of depth information in stereoscopic natural images, especially images undergoing different types of symmetric and asymmetric distortions, is a fundamentally important issue that is not well understood. In this paper, we present two of our recent subjective studies on depth quality. The first one follows the absolute category rating (ACR) protocol that is widely used in general image quality assessment research. We find that traditional approaches such as ACR is problematic in this scenario because monocular cues and the spatial quality of images have strong impacts on the depth quality scores given by subjects, making it difficult to single out the actual contributions of stereoscopic cues in depth perception. To overcome this problem, we carry out the second subjective study where depth effect is synthesized at different depth levels before various types and levels of symmetric and asymmetric distortions are applied. Instead of following the ...