These categories give a variety of ways to view how winners are distributed along the ideological spectrum. The available categories for display are
This gives a graphical representation of how “far apart” several voting methods are from each other. You can view the results either as a heat map (where the cells in a matrix show the earthmover distance between the winner ideological distributions for the relevant voting methods), as a dendrogram (which uses those distances to display the proximity of selected voting methods), or both.
Note: for this category, you must select “unknown” as the voting method.
This gives a histogram that represents the ideological distribution of the winning candidate across the 100,000 simulated elections. The winner distribution is shown in blue, and the corresponding distribution of voter ideologies is shown in red. Each graph also shows the median ideological value for both voters and winners.
This gives a histogram that represents where the winning candidate sat relative to the other candidates: the furthest left candidate is “0”, the next furthest left is “1”, etc.
This gives a graphical representation of how “far apart” the Boolean types are from each other for a fixed voting method in a fixed distribution/candidate number/state. You can view the results either as a heat map (where the cells in a matrix show the earthmover distance between the winner ideological distributions for the relevant voting methods), as a dendrogram (which uses those distances to display the proximity of selected voting methods), or both.
Note: for this category, you must select “All” as the boolean type.
This graph shows a histogram for the percentage of voters that are within a distance of 0.125 (ideologically) of the winning candidate. Ideally a candidate would have a large number of voters that are this proximate, so one would prefer this distribution to have as much of its mass to the right as possible. The mean is shown as a vertical dotted line, and the standard deviation is shown as a blue horizontal bar centered on the mean line. Again, ideally the mean is far to the right, and the standard deviation is small.