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Research ArticleArticles

Detecting Problems in Survey Data Using Benford’s Law

George Judge and Laura Schechter
Journal of Human Resources, January 2009, 44 (1) 1-24; DOI: https://doi.org/10.3368/jhr.44.1.1
George Judge
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Laura Schechter
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References

    1. Benford Frank
    .1938. “The Law of Anomalous Numbers.” Proceedings of the American Philosophical Society 78(4):551–72.
    OpenUrl
    1. Berger Arno,
    2. Hill Theodore P.
    . 2007. “Newton’s Method Obeys Benford’s Law.” American Mathematical Monthly 114(7):588–601.
    OpenUrl
    1. Biemer Paul P.,
    2. Groves Robert M.,
    3. Lyberg Lars E.,
    4. Mathiowetz Nancy A.,
    5. Sudman Seymour
    , eds. 1991. Measurement Errors in Surveys. New York: John Wiley & Sons.
    1. Carslaw Charles A. P. N.
    1988. “Anomalies in Income Numbers: Evidence of Goal Oriented Behavior.” Accounting Review 63(2):321–27.
    OpenUrl
    1. Cho Wendy K. T.,
    2. Gaines Brian J.
    . 2007. “Breaking the (Benford) Law: Statistical Fraud Detection in Campaign Finance.” The American Statistician 61(3):1–6.
    OpenUrlCrossRefWeb of Science
    1. de Marchi Scott,
    2. Hamilton James T.
    . 2006. “Assessing the Accuracy of Self-Reported Data: An Evaluation of the Toxics Release Inventory.” Journal of Risk and Uncertainty 32(1):57–76.
    OpenUrlCrossRefWeb of Science
    1. Diaconis Persi
    . 1977. “The Distribution of Leading Digits and Uniform Distribution Mod 1.” The Annals of Probability 5(1):72–81.
    OpenUrl
    1. Durtschi Cindy,
    2. Hillison William,
    3. Pacini Carl
    . 2004. “The Effective Use of Benford’s Law to Assist in Detecting Fraud in Accounting Data.” Journal of Forensic Accounting 5(1):17–34.
    OpenUrl
    1. Geyer Christina Lynn,
    2. Williamson Patricia Pepple
    . 2004. “Detecting Fraud in Data Sets using Benford’s Law.” Computation in Statistics: Simulation and Computation 33(1):229–46.
    OpenUrl
    1. Giles David E.
    2007. “Benford’s Law and Naturally Occurring Prices in Certain eBay Auctions.” Applied Economics Letters 14(3):157–61.
    OpenUrl
    1. Glewwe Paul,
    2. Dang Hai-Anh Hoang
    . 2005. “The Impact of Decentralized Data Entry on the Quality of Household Survey Data in Developing Countries: Evidence from a Randomized Experiment in Vietnam.” Unpublished.
    1. Grendar Marian,
    2. Judge George,
    3. Schechter Laura
    . 2007. “An Empirical Non-Parametric Likelihood Family of Data-Based Benford-Like Distributions.” Physica A: Statistical Mechanics and its Applications 380:429–38.
    OpenUrl
    1. Grosh Margaret,
    2. Glewwe Paul
    , eds. 2000. Designing Household Survey Questionnaires for Developing Countries: Lessons from 15 Years of the Living Standards Measurement Study, Washington D.C.: The World Bank.
    1. Groves Robert M.
    1989. Survey Errors and Survey Costs, New York: John Wiley & Sons.
    1. Hill Theodore P.
    1995. “A Statistical Derivation of the Significant-Digit Law.” Statistical Science 10(4):354–63.
    OpenUrlWeb of Science
    1. Hill Theodore P.,
    2. Schürger Klaus
    . 2005. “Regularity of Digits and Significant Digits of Random Variables.” Stochastic Processes and Their Applications 115(10):1723–43.
    OpenUrl
    1. Leemis Lawrence M.,
    2. Schmeiser Bruce W.,
    3. Evans Diane L.
    . 2000. “Survival Distributions Satisfying Benford’s Law.” The American Statistician 54(4):236–41.
    OpenUrlCrossRefWeb of Science
    1. Livio Mario
    . 2002. The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number. New York: Broadway.
    1. Morrow John M.
    2007. “Benford’s Law, Families of Distributions, and a Test Basis.” Unpublished.
    1. Newcomb Simon
    . 1881. “Note on the Frequency of Use of the Different Digits in Natural Numbers.” American Journal of Mathematics 4(1):39–40.
    OpenUrlCrossRef
    1. Nigrini Mark J.
    1996. “A Taxpayer Compliance Application of Benford’s Law.” Journal of the American Taxation Association 18(1):72–91.
    OpenUrl
    1. Nye John,
    2. Moul Charles
    . 2007. “The Political Economy of Numbers: On the Application of Benford’s Law to International Macroeconomic Statistics.” The B. E. Journal of Macroeconomics 7(1 (Topics)).
    1. Philipson Tomas,
    2. Malani Anup
    . 1999. “Measurement Errors: A Principal Investigator-Agent Approach.” Journal of Econometrics 91(2):273–98.
    OpenUrl
    1. Pietronero Luciano,
    2. Tosatti Erio,
    3. Tosatti Valentino,
    4. Vespignani Alessandro
    . 2001. “Explaining the Uneven Distribution of Numbers in Nature: The Laws of Benford and Zipf.” Physica A: Statistical Methods and its Applications 293(1–2):297–304.
    OpenUrl
    1. Raimi Ralph
    . 1976. “The First Digit Problem.” American Mathematical Monthly 83(7):521–38.
    OpenUrlCrossRefWeb of Science
    1. Rodriguez Ricardo J.
    2004. “First Significant Digit Patterns from Mixtures of Uniform Distributions.” The American Statistician 58(1):64–71.
    OpenUrlCrossRef
    1. Schatte Peter
    . 1988. “On Mantissa Distributions in Computing and Benford’s Law.” Journal of Information Processing and Cybernetics 24(10):443–55.
    OpenUrl
    1. Scott Paul D.,
    2. Fasli Maria
    . 2001. Benford’s Law: An Empirical Investigation and a Novel Explanation. Unpublished.
    1. Stephens Michael A.
    1970. “Use of the Kolmogorov-Smirnov, Cramer-Von Mises and Related Statistics without Extensive Tables.” Journal of the Royal Statistical Society, Series B 32(1):115–22.
    OpenUrlWeb of Science
    1. Sudman Seymour,
    2. Bradburn Norman M.,
    3. Schwarz Norbert
    . 1996. Thinking About Answers. San Francisco: Jossey-Bass Publishers.
    1. Varian Hal
    . 1972. “Benford’s Law.” The American Statistician 26(3):65.
    OpenUrlCrossRef
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1 Jan 2009
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Detecting Problems in Survey Data Using Benford’s Law
George Judge, Laura Schechter
Journal of Human Resources Jan 2009, 44 (1) 1-24; DOI: 10.3368/jhr.44.1.1

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Detecting Problems in Survey Data Using Benford’s Law
George Judge, Laura Schechter
Journal of Human Resources Jan 2009, 44 (1) 1-24; DOI: 10.3368/jhr.44.1.1
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