Numerous phase-shifting interferometry digital hologram compression techniques have been proposed and investigated in the literature. We review some of the most important of them and compare their performance under the same conditions. Comparison is performed based on reconstruction quality. As holograms contain three dimensional information we investigate the compression effects on different distance reconstructions and reconstructions corresponding to different viewing angles. In this way we evaluate the compression performance of the methods not only on a single reconstruction, as it was done so far, but for aspects of the whole range of the holographic three dimensional information. We use holograms of multiple object scenes or objects with sufficient details on different depths so that both parallax and depth effects can be demonstrated.