Was there any widespread fraud in 2020 presidential election? What does Benford's Law say?
Keywords:Chi-square test, county vote counts, democracy, election forensics
Fair elections free of any interference are integral tenets of any functioning democracy, and widespread election fraud is undoubtedly a serious threat to a free republic. While instances of electoral fraud are much more prevalent in countries with illiberal democracies, the U.S has recently faced such an accusation. Although he was unable to provide any concrete evidence, the former U.S. President Donald Trump accused his opponent, Joe Biden, now president, of electoral fraud after the presidential election. Fortunately, election forensics are often successful in investigating the validity of such fraud allegations. In this paper, I applied Benford’s law, a rule that should stand up to any large set of natural numbers, such as un-tampered electoral data. Using this law and basic statistical analysis of votes of U.S. counties for candidates of the two major parties, I completed a forensic analysis to investigate Mr. Trump’s allegation. My comprehensive investigation does not find any evidence supporting his allegation.
References or Bibliography
Benford, F. (1938). The Law of Anomalous Numbers. Proceedings of the American Philosophical Society, 78(4), 551-572. Retrieved from http://www.jstor.org/stable/984802
Berton, L. (1995, Jul 10). He's got their number: Scholar uses math to foil financial fraud. Wall Street Journal Retrieved from https://www.proquest.com/newspapers/hes-got-their-number-scholar-uses-math-foil/docview/398472965/se-2?accountid=14537
Charles A. P. N. Carslaw. (1988). Anomalies in Income Numbers: Evidence of Goal Oriented Behavior. The Accounting Review, 63(2), 321-327. Retrieved June 29, 2021, from http://www.jstor.org/stable/248109
Diekmann, A (2007). Not the First Digit! Using Benford's Law to detect fraudulent
scientific data. J Appl Stat., 34 (3), 321-329. Retrieved from https://doi.org/10.1080/02664760601004940
Mebane, Jr., W.R. (2009). Note on the presidential election in Iran, June 2009. University
of Michigan, June 29, 2009, 22-23. Retrieved from http://www-personal.umich.edu/~wmebane/note29jun2009.pdf
MIT Election Data and Science Lab. (2021). County presidential election returns 2000-2020. Retrieved from https://doi.org/10.7910/DVN/VOQCHQ
Newcomb, S. (1881). Note on the Frequency of Use of the Different Digits in Natural Numbers. American Journal of Mathematics, 4(1), 39-40. Retrieved from www.jstor.org/stable/2369148 .
Nigrini, M. J. (1996). A Taxpayer Compliance Application of Benford's Law. The Journal
of the American Taxpayer Association, 18, 72-91. Retrieved from https://www.econbiz.de/Record/a-taxpayer-compliance-application-of-benford-s-law-nigrini-mark-john/10001202885
Politico (2020). Live 2020 election results: Presidency, Senate and House. Retrieved from https://www.politico.com/2020-election/results/
Schäfer, C., Schräpler, J.-P., Müller, K.-R., & Wagner, G. G. (2004). Automatic identification of faked and fraudulent interviews in surveys by two different methods (Working Paper No. 441). DIW Discussion Papers. Retrieved from https://www.econstor.eu/handle/10419/18293
Baucom, C., Bate, J., Ochoa, S., Santos, I., Sergios, A., Lorentzen, L., & Reilly, K. (2019). The Epidemiology of the AIDS Pandemic: Historical, Cultural, Political, Societal Perspectives and Knowledge of HIV. Journal of Student Research, 8(2). Retrieved from https://doi.org/10.47611/jsr.v8i2.781
Byrne, I., Kanaoka, Y., Pollack, N. E., Rhee, H. J., & Sommers, P. M. (2019). An Analysis of Airport Delays Across the United States, 2012-2018. Journal of Student Research, 8(2). Retrieved from https://doi.org/10.47611/jsr.v8i2.775
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Copyright (c) 2021 Deeya Datta; Dr. David Banks
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