Abstract
Consider a soccer game with spectators in a stadium acting as voters. The spectators are polled to determine whether a ball has crossed a line. Either the ball has crossed, or it has not, but the opinions of individual voters regarding the truth of the matter may differ because of their differing perspectives on the event. Voters positioned far from the event may be unable to accurately assess the outcome compared to those positioned nearby. In practice, however, voters' opinions may not be independently distributed. For example, the voters may talk among themselves before their opinions are gathered. This can distort the distribution of opinions, and introduce correlations into voter reports, preventing recovery of the true outcome. For example, if an announcer states that the ball did cross the line, then voters who did not observe this may report this authoritative opinion rather than their own.
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