The Pleasures of Statistics pp 47-67 | Cite as

# Who Wrote the Disputed Federalist Papers, Hamilton or Madison?

## Abstract

When I worked at the Office of Public Opinion Research with the social psychologist Hadley Cantril, beginning in 1940, I got to know Frederick Williams, a political scientist. He and I collaborated on some articles in the study of public opinion that appeared in a book edited by Hadley Cantril. One day in 1941, Fred said, “Have you thought about the problem of the authorship of the disputed *Federalist* papers?” I didn’t know there were *Federalist* papers, much less that both Hamilton and Madison had claimed authorship of some of them. I had attended an engineering school where very little classical literature was taught at the time. I had, however, been reading in the statistical journal *Biometrika* articles by G. Udny Yule and by C. B. Williams (a different Williams) on the resolution of some disputes about authorship.

## Keywords

Bayesian Inference Bayesian Approach Sentence Length Discrimination Problem Outrageous Event## Preview

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## References

- Airoldi, E. M., Anderson, A. G., Fienberg, S. E., and Skinner, K. K. (2006). Who wrote Ronald Reagan's radio addresses?
*Bayesian Analysis*, 1(2):289–320.CrossRefMathSciNetGoogle Scholar - Cantril, H. and Research Associates in the Office of Public Opinion (1944).
*Gauging Public Opinion*. Princeton, NJ: Princeton University Press.Google Scholar - Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems.
*Annals of Eugenics*, 7, Pt. 2:179–188. [Paper 32 in*Contributions to Mathematical Statistics by R. A. Fisher*(1950). New York: Wiley.]Google Scholar - Francis, I. S. (1966).
*Inference in the Classification Problem*. Ph.D. thesis, Harvard University.Google Scholar - Hamilton, A., Jay, J., and Madison, J. (1787–1788).
*The Federalist Papers: A commentary on the Constitution of the United States, being a collection of essays written in support of the Constitution agreed upon September 17, 1787, by the Federal Convention*. Sesquicentennial edition (1937). Washington, D.C.: National Home Library Foundation.Google Scholar - Holmes, D. I. (2003). Stylometry and the Civil War: The case of the Pickett letters.
*Chance*, 16(2):18–25.MathSciNetGoogle Scholar - Holmes, D. I. and Kardos, J. (2003). Who was the author? An introduction to stylometry.
*Chance*, 16(2):5–8.MathSciNetGoogle Scholar - Howells, W. W. (1972). The importance of being human. In J. M. Tanur, F. Mosteller, W. H. Kruskal, R. F. Link, R. S. Pieters, and G. R. Rising, editors,
*Statistics: A Guide to the Unknown*. San Francisco: Holden-Day. 68–76. (Also appears in the 2nd edition [1979] and the 3rd edition [1989].)Google Scholar - Jeffreys, H. (1939, 1948, 1961).
*Theory of Probability*. 1st, 2nd, and 3rd edition. London: Oxford at the Clarendon Press.MATHGoogle Scholar - Kass, R. E., Tierney, L., and Kadane, J. B. (1989). Approximate methods for assessing influence and sensitivity in Bayesian analysis.
*Biometrika*, 76:663–675.CrossRefMATHMathSciNetGoogle Scholar - Meehl, P. E. (1954).
*Clinical Versus Statistical Prediction: A Theoretical Analysis and a Review of the Evidence*. Minneapolis, MN: University of Minnesota Press.Google Scholar - Miller, G. A. (1956). The magical number seven, plus or minus two: Some limits on our capacity for processing information.
*The Psychological Review*, 63:81–97.CrossRefGoogle Scholar - Mosteller, F. and Wallace, D. L. (1962). Notes on an authorship problem. In
*Proceedings of a Harvard Symposium on Digital Computers and Their Applications*. Cambridge, MA: Harvard University Press. 163–197.Google Scholar - Mosteller, F. and Wallace, D. L. (1963). Inference in an authorship problem: A comparative study of discrimination methods applied to the authorship of the disputed Federalist Papers.
*Journal of the American Statistical Association*, 58:275–309.MATHGoogle Scholar - Mosteller, F. and Wallace, D. L. (1964).
*Inference and Disputed Authorship: The Federalist*. Reading, MA: Addison-Wesley Publishing Company. (Reprinted 2008. Stanford: Center for the Study of Language and Information.)Google Scholar - Mosteller, F. and Wallace, D. L. (1972). Deciding authorship. In J. M. Tanur, F. Mosteller, W. H. Kruskal, R. F. Link, R. S. Pieters, and G. R. Rising, editors,
*Statistics: A Guide to the Unknown*. San Francisco: Holden-Day. 115–125. (Also appears in the 2nd edition [1979] and the 3rd edition [1989].)Google Scholar - Mosteller, F. and Wallace, D. L. (1984).
*Applied Bayesian and Classical Inference: The Case of The Federalist Papers*. New York: Springer-Verlag.CrossRefMATHGoogle Scholar - Rudman, J. (2003). Cherry picking in nontraditional authorship attribution studies.
*Chance*, 16(2):26–32.MathSciNetGoogle Scholar - Runyon, D. (1950). A nice price. Chapter in Vol. II,
*Money from Home*in*The Damon Runyon Omnibus, Three Volumes in One*. Philadelphia: J. B. Lippincott.Google Scholar - Tierney, L., Kass, R. E., and Kadane, J. B. (1989). Fully exponential Laplace approximations to posterior expectations and variances.
*Journal of the American Statistical Association*, 84:710–716.CrossRefMATHMathSciNetGoogle Scholar - Williams, C. B. (1939). A note on the statistical analysis of sentence-length as a criterion of literary style.
*Biometrika*, 31:356–361.Google Scholar - Williams, C. B. (1956). Studies in the history of probability and statistics: IV. A note on an early statistical study of literary style.
*Biometrika*, 43:248–256.MathSciNetGoogle Scholar - Yule, G. U. (1939). On sentence-length as a statistical characteristic of style in prose: with application to two cases of disputed authorship.
*Biometrika*, 30(3/4):363–390.CrossRefGoogle Scholar