A place for philosophy? The rise of modeling in statistical science

Author:
Persi Diaconis

Journal:
Quart. Appl. Math. **56** (1998), 797-805

DOI:
https://doi.org/10.1090/qam/99606

MathSciNet review:
QAM99606

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Abstract | References | Additional Information

Abstract: Large statistical models seem to have reached epidemic proportions. I will document the harm they are currently causing and contrast it with some success stories of smaller modeling efforts. A case study involving a model for flipping coins shows how ``adding a few bells and whistles'' can lead to nonsense. Finally, an effort to list the ``real uses'' of models is offered as a start to making sense of current modeling efforts.

**[1]**D. R. Cox,*Role of models in statistical analysis*, Statist. Sci.**5**(1990), no. 2, 169–174. MR**1062575****[2]**B. deFinetti,*Foresight: Its logical laws, its surjective sources*, Ann. l'Institut H. Poincaré**7**, translation in H. Kyburg, H. Smokler (Eds.),*Studies in Subjective Probability*, Krieger, Huntington, N.Y., 1937, pp. 55-131**[3]**B. deFinetti,*Probability, Induction and Statistics*, Wiley, N.Y., 1972**[4]**P. Diaconis,*Recent progress on de Finetti’s notions of exchangeability*, Bayesian statistics, 3 (Valencia, 1987) Oxford Sci. Publ., Oxford Univ. Press, New York, 1988, pp. 111–125. MR**1008047****[5]**P. Diaconis and D. Freedman,*Partial exchangeability and sufficiency*, Statistics: applications and new directions (Calcutta, 1981) Indian Statist. Inst., Calcutta, 1984, pp. 205–236. MR**786142****[6]**P. Diaconis and D. Freedman,*On the consistency of Bayes estimators*, Ann. Statist.**14**, 1-67 (1986)**[7]**P. Diaconis and D. Freedman,*On the uniform consistency of Bayes estimates for multinomial probabilities*, Ann. Statist.**18**(1990), no. 3, 1317–1327. MR**1062710**, https://doi.org/10.1214/aos/1176347751**[8]**Eduardo M. R. A. Engel,*A road to randomness in physical systems*, Lecture Notes in Statistics, vol. 71, Springer-Verlag, Berlin, 1992. MR**1177596****[9]**D. Freedman,*Statistical models and shoe leather*, in*Sociological Methodology*(Peter Marsden, eds.), Amer. Sociol. Assoc. Washington, 1991**[10]**David Freedman,*From association to causation via regression*, Adv. in Appl. Math.**18**(1997), no. 1, 59–110. MR**1425950**, https://doi.org/10.1006/aama.1996.0501**[11]**D. Freedman, T. Rothenberg, and R. Such,*On energy policy models*, Jour. Business and Economic Statistics**1**, 24-36 (1983)**[12]**D. Freedman and K. Wachter,*Heterogeneity and census adjustments for the intercensal base*, Statist. Sci**9**, 476-537 (1994)**[13]**D. A. Freedman and H. Zeisel,*From mouse-to-man: the quantitative assessment of cancer risks*, Statist. Sci.**3**(1988), no. 1, 3–56. With comments and a rejoinder by the authors. MR**959715****[14]**C. F. Gauss,*Theory of the Motion of the Heavenly Bodies Moving About the Sun in Conic Sections*, Translated by C. H. Davis, Dover, N.Y., 1963**[15]**Carl Friedrich Gauss,*Theoria combinationis observationum erroribus minimis obnoxiae/Theory of the combination of observations least subject to errors*, Classics in Applied Mathematics, vol. 11, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1995. Pars prior. Pars posterior. Supplementum/Part One. Part Two. Supplement; Dual Latin-English text; Translated and with an introduction and afterword by G. W. Stewart. MR**1329543****[16]**Joseph B. Keller,*The probability of heads*, Amer. Math. Monthly**93**(1986), no. 3, 191–197. MR**828326**, https://doi.org/10.2307/2323340**[17]**Erich Leo Lehmann,*Theory of point estimation*, Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1983. A Wiley Publication in Mathematical Statistics. MR**702834****[18]**E. L. Lehmann,*Testing statistical hypotheses*, 2nd ed., Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1986. MR**852406****[19]**E. L. Lehmann,*Model specification: the views of Fisher and Neyman, and later developments*, Statist. Sci.**5**(1990), no. 2, 160–168. MR**1062574**

Additional Information

DOI:
https://doi.org/10.1090/qam/99606

Article copyright:
© Copyright 1998
American Mathematical Society