Slicing newsprint is one test that I always use.
Draw-slicing allows a simple test of the entire sweep of the edge, from heel to point. This is a good test for complete edge formation, and quickly identifies any area of the edge that is not fully sharpened.
Newsprint-slicing also gives two sensory feedback modes - pressure-to-slice and audibility. A moderately-sharp edge will sound harsher than the whispered hiss of a really sharp edge as the fibers are cleanly sliced. The newsprint vibrates, acting essentially as the fabric of your speakers as the fibers are either sliced or torn.
There is a serious potential for error in relying solely on newsprint-slicing - in that a sharpened wire-edge will not be detected. A few hard-pressure full-edge draw-slices on hardwood or plastic material is a good test for a wire-edge, collapsing or tearing off the wire-edge. Following this test, retest the edge with newsprint slicing to confirm a good sharp full edge.
Push-cutting newsprint is generally a test of edge refinement. Generally, a polished edge (fine-stoned or stropped) always excels at push-cutting. Some prefer a polished edge - some prefer a toothier edge for better draw-slicing performance.
Hope this helps!