# Joseph Berkson

Joseph Berkson (1899 – 1982) was trained as a physicist (M.A., 1922, Columbia), physician (M.D., 1927, Johns Hopkins), and statistician (Dr.Sc., 1928, Johns Hopkins).[1] In 1950, as Head (1934–1964) of the Division of Biometry and Medical Statistics[1] of the Mayo Clinic, Rochester, Minnesota, Berkson wrote a key paper entitled Are there two regressions?.[2] In this paper Berkson proposed an error model for regression analysis that contradicted the classical error model until that point assumed to generally apply and this has since been termed the Berkson error model. Whereas the classical error model is statistically independent of the true variable, Berkson's model is statistically independent of the observed variable.[3] Carroll et al. (1995) refer to the two types of error models as follows:[4]

• error models including the Classical Measurement Error models and Error Calibration Models, where the conditional distribution of W given (ZX) is modeled — use of such a model is appropriate when attempting to determine X directly, but this is prevented by various errors in measurement.
• regression calibration models (also known as controlled-variable or Berkson error models), where the conditional distribution of X given (ZW) is modeled.
Joseph Berkson
Born1899
Died1982
NationalityAmerican
Alma materJohns Hopkins University
Berkson error model
Scientific career
FieldsBiostatistics
InstitutionsMayo Clinic

Berkson is also widely recognised as the key proponent in the use of the logistic in preference to the normal distribution in probabilistic techniques.[5] Berkson is also credited with the introduction of the logit model in 1944,[6] and with coining this term. The term was borrowed by analogy from the very similar probit model developed by Chester Ittner Bliss in 1934.

Berkson was a prominent opponent of the idea that cigarette smoking causes cancer. In the 1957 Liggett & Myers annual report, he was quoted as saying "the evidence, taken as a whole, does not establish, on any reasonable scientific basis, that cigarette smoking causes lung cancer."[7] Following the issuance of the famous report Smoking and Health: Report of the Advisory Committee to the Surgeon General of the United States, he was quoted in Life Magazine as saying it was "very doubtful that smoking causes cancer of the lung."[8]

## Notes

1. ^ a b O'Fallon WM (1998). "Berkson, Joseph". Armitage P, Colton T, Editors-in-Chief. Encyclopedia of Biostatistics. Chichester: John Wiley & Sons. Volume 1, pp. 290-295.
2. ^ Berkson J (1950). "Are there two regressions?". Journal of the American Statistical Association. Journal of the American Statistical Association. 45 (250): 164–180. doi:10.2307/2280676. JSTOR 2280676.
3. ^ Heid IM, Kuchenhoff H, Miles J, Kreienbrock L, Wichmann HE (2004). "Two dimensions of measurement error: Classical and Berkson error in residential radon exposure assessment". J Exp Anal and Env Epi. 14 (5): 365–377. doi:10.1038/sj.jea.7500332. PMID 15361895.
4. ^ Carroll, R. J.; Ruppert, D.; Stefanski, L. A. (2006). Measurement Error in Nonlinear Models (Second ed.). London: Chapman & Hall. pp. 26–32. ISBN 1-4200-1013-1.
5. ^ Lecture notes for Economics students at Sussex university. Online resource: [1]
6. ^ Berkson J (1944). "Application of the logistic function to bio-assay". Journal of the American Statistical Association. Journal of the American Statistical Association, Vol. 39, No. 227. 39 (227): 357–65. doi:10.2307/2280041. JSTOR 2280041.
7. ^ TobaccoDocuments.org. Archived from the original on 2007-12-24.
8. ^ Inc, Time (January 24, 1964). "Verdict on Cigarets: Guilty as Charged". Life Magazine. Time Inc: 52–64.