Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data
Figure 1
APA election data with both full and partial rankings are shown plotted in lexicographic order on . The four subplots indicate as follows: (a) full ranking data; (b) votes where only the top candidate was given; (c) votes where the top two candidates in order were given; (d) votes where the top three were given. Note that, in each case, the votes peak at different locations: (a) the maximum votes (186) go to the ordering 23154, that is, candidate 2 has top preference, 3 second, followed by 1, 5, and 4 in decreasing preference; (b) the maximum votes (1,198) go to candidate 3; (c) the maximum votes (547) go to the ordering 31; (d) the maximum votes (90) go to the ordering 451. Note that, in (d), the second most popular ordering, getting 83 votes, is 312, which is more consistent with the result of (b) and (c).
