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US presidential election inversions, where the popular vote winner loses, have been likely since the 1800s. Close elections have a 40% chance of inversion, showing they are not rare statistical flukes.

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Area of Science:

  • Political Science
  • Electoral Studies
  • American Politics

Background:

  • US presidential elections have occasionally resulted in inversions, where the popular vote winner does not win the presidency.
  • These inversions have often been perceived as statistical anomalies or rare occurrences.

Purpose of the Study:

  • To analyze the historical likelihood of popular vote inversions in US presidential elections.
  • To determine if inversions are statistically probable events rather than flukes.
  • To assess the stability of inversion probability across different historical periods.

Main Methods:

  • Statistical analysis of historical US presidential election data.
  • Calculation of conditional probabilities for inversions based on popular vote margins.
  • Comparison of inversion likelihood across distinct historical eras.

Main Results:

  • Popular vote inversions have been ex ante likely in US presidential elections since the early 1800s.
  • Elections with a popular vote margin within 1 point have approximately a 40% expected probability of being an inversion.
  • This conditional probability remained stable across historical periods despite significant changes in voting demographics and political landscapes.

Conclusions:

  • Inversions in US presidential elections are not statistical flukes but have been consistently probable events.
  • The relative rarity of inversions is attributable to the limited number of close elections throughout US history.
  • Understanding the probability of inversions is crucial for electoral analysis and reform discussions.