579050.fig.002a
(a)
579050.fig.002b
(b)
579050.fig.002c
(c)
579050.fig.002d
(d)
579050.fig.002e
(e)
579050.fig.002f
(f)
Figure 2: Partial ranking data from the APA election shown plotted in lexicographic order on , with comparisons to the zero-phase (magnitude only) approximations in the left column, and the linear-phase approximations in the right. The linear-phase approximations are in each case adjusted so that the location of their peak value matches that of the original data. The six subplots indicate as follows: (a) first preference only (blue) compared to zero phase (red dashed line); (b) first preference only with linear-phase approximation; (c) and (d) the same for the top two preferences; (e) and (f) the same for the top three preferences. Note that the two-preference data in (d) is well fit by the linear-phase approximation.