Why Not Weighted Harmonic Mean?
Since the results of Viewperf are expressed as “frames/second,” the subcommittee was asked why we did not choose the weighted harmonic mean. The weighted harmonic mean would have been the correct composite if the description published for Viewperf read as follows: “Assign a weight to each path based on the percentage of operations in each path…” Given this description, the weighted harmonic mean would be as if you ran the viewset tests for 100 frames, where 100 × weight1 frames were drawn with test1, the next 100 × weight2 frames were drawn by test2, and so on. The 100 frames divided by the total time would be the weighted harmonic mean. Since the weights for the view sets were selected on percentage of time, not percentage of operations, we chose the weighted geometric mean over the weighted harmonic mean.
