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Exploratory Statistics and Empiricism

Published online by Cambridge University Press:  01 April 2022

Stanley A. Mulaik
Stanley A. Mulaik*
Affiliation:
School of Psychology, Georgia Institute of Technology
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Abstract

Exploratory statistics represents the transformation of a realist theory of statistics held by early nineteenth-century astronomers into an empiricist theory of statistics held by biometricians at the turn of the twentieth century. This paper discusses four key ideas in empiricist thought that influenced the form exploratory statistics took: (1) Baconianism, (2) associationism, (3) the search for cognitive calculi, and (4) phenomenalism.

Some limitations of and alternatives to exploratory statistics as a hypothesis-generating methodology are discussed.

Type
Research Article
Information
Philosophy of Science , Volume 52 , Issue 3 , September 1985 , pp. 410 - 430
Copyright
Copyright © 1985 by the Philosophy of Science Association

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References

REFERENCES

Bernard, C. (1957), An Introduction to the Study of Experimental Medicine. Translated by H. C. Green. New York: Dover. (First published in France, 1865; first issued in English, 1927.)Google Scholar
Bloor, D. (1983), Wittgenstein: A Social Theory of Knowledge. New York: Columbia University Press.CrossRefGoogle Scholar
Borg, I. (ed.) (1981), Multidimensional Data Representations: When & Why. Ann Arbor: Mathesis Press.Google Scholar
Broad, C. D. (1952), Ethics and the History of Philosophy. London: Routledge & Kegan Paul.Google Scholar
Broad, C. D. (1968), Induction, Probability and Causation. Dordrecht: D. Reidel.CrossRefGoogle Scholar
Brooks, G. P., and Aalto, S. K. (1981), “The Rise and Fall of Moral Algebra: Francis Hutcheson and the Mathematization of Psychology”, Journal of the History of the Behavioral Sciences 17: 343–56.3.0.CO;2-8>CrossRefGoogle Scholar
Buck, P. (1981), “From Celestial Mechanics to Social Physics: Discontinuity in the Development of the Sciences in the Early Nineteenth Century”, in Epistemological and Social Problems of the Sciences in the Early Nineteenth Century, Jahnke, H. N. and Otte, M. (eds.). Dordrecht: D. Reidel.Google Scholar
Butts, R. E. (1968), “Introduction”, to William Whewell's Theory of Scientific Method, Butts, R. E. (ed.). Pittsburgh: University of Pittsburgh Press, pp. 3–29.Google Scholar
Chaddock, R. E. (1925), Principles and Methods of Statistics. Boston: Houghton Mifflin Co.Google Scholar
Copi, I. M. (1968), Introduction to Logic. 3rd edition. London: Macmillan.Google Scholar
Daniels, G. H. (1968), American Science in the Age of Jackson. New York: Columbia University Press.Google Scholar
Daston, L. J. (1981), “Mathematics and the Moral Sciences: The Rise and Fall of the Probability of Judgments, 1785–1840”, in Jahnke and Otte, pp. 287–309.CrossRefGoogle Scholar
Ferguson, G. A. (1976), Statistical Analysis in Psychology and Education. 4th edition. New York: McGraw-Hill.Google Scholar
Finch, P. D. (1981), “On the Role of Description of Statistical Enquiry”, British Journal for the Philosophy of Science 32: 127–44.CrossRefGoogle Scholar
Fisher, R. A. (1925), Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.Google Scholar
Galton, F. (1871), “Experiments in Pangenesis by Breeding from Rabbits of a Pure Variety, into Whose Circulation Blood Taken from Other Varieties Has Previously Been Transfused”, Proceedings Royal Society of London 19: 393–406.Google Scholar
Galton, F. (1872), “On Blood-Relationship”, Proceedings Royal Society of London 20: 394–402.Google Scholar
Galton, F. (1875), “Statistics by Intercomparison, with remarks on the law of frequency of error”, Philosophical Magazine 49: 33–46.Google Scholar
Galton, F. (1886), “Family Likeness in Stature,” Proceedings Royal Society of London 40: 49–73.Google Scholar
Galton, F. (1888), “Correlations and Their Measurement, Chiefly from Anthropometric Data”, Proceedings Royal Society of London 45: 135–45.Google Scholar
Galton, F. (1889), Natural Inheritance. London: Macmillan.Google Scholar
Galton, F. (1973), Inquiries into Human Faculty and Its Development. New York: AMS Press, Inc. Reprint of 1908 edition of materials published in 1883.Google Scholar
Goldstine, H. H. (1977), A History of Numerical Analysis from the 16th through the 19th Century. New York and Berlin: Springer-Verlag.CrossRefGoogle Scholar
Good, I. J. (1983), “The Philosophy of Exploratory Data Analysis”, Philosophy of Science 50: 283–95.CrossRefGoogle Scholar
Guttman, L. (1977a), “What Is Not What in Statistics”, in Borg, pp. 20–46.Google Scholar
Guttman, L. (1977b), “What Is Not What in Theory Construction”, in Borg, pp. 47–64.Google Scholar
Guy, W. A. (1839), “On the Value of the Numerical Method as Applied to Science, but Especially to Physiology and Medicine”, Proceedings of the Royal Statistical Society A 2: 25–47.Google Scholar
Hacking, I. (1975), The Emergence of Probability. Cambridge: Cambridge University Press.Google Scholar
Hankins, F. H. (1908), Adolphe Quetelet as Statistician. Studies in History, Economics and Public Law. Vol. 21 New York: Columbia University Press.Google Scholar
Hartley, D. [1749] (1966), Observations on Man, His Frame, His Duty, and His Expectations. Gainesville, Florida: Scholars' Facsimiles & Reprints. Facsimile of 1749 edition, published by Leake & Frederick, London.Google Scholar
Herschel, J. F. W. [1830] (1966), A Preliminary Discourse on the Study of Natural Philosophy. New York: Johnson Reprint Corporation. Facsimile of 1830 edition, published by Longman, Rees, Brown & Green and John Taylor, London.Google Scholar
Hilts, V. L. (1973), “Statistics and Social Science”, in Foundations of Scientific Method: The Nineteenth Century, Giere, R. N. and Westfall, R. S. (eds.). Bloomington: Indiana University Press.Google Scholar
Hogben, L. (1957), Statistical Theory. London: George Allen & Unwin.Google Scholar
Laplace, P. S. [1796] (1951), A Philosophical Essay on Probabilities. Translated by F. W. Trustcott and F. L. Emory. New York: Dover. (First published in 1796).Google Scholar
Laudan, L. (1980), “Why Was the Logic of Discovery Abandoned?”, in Scientific Discovery, Logic, and Rationality, Nickles, T. (ed.). Boston Studies in the Philosophy of Science, vol. 56. Dordrecht: D. Reidel, pp. 173–83.Google Scholar
Laudan, L. (1981), Science and Hypothesis. Dordrecht: D. Reidel.CrossRefGoogle Scholar
Lazarsfeld, P. F. (1961), “Notes on the History of Quantification in Sociology—Trends, Sources, and Problems”, in Quantification, Woolf, H. (ed.). Indianapolis: Bobbs-Merrill, pp. 147–203.Google Scholar
Levy, S. (1981), “Lawful Roles of Facets in Social Theories”, in Borg, pp. 66–107.Google Scholar
MacKenzie, D. (1978), “Statistical Theory and Social Interests”, Social Studies in Science 8: 35–83.CrossRefGoogle ScholarPubMed
Mill, J. S. [1843] (1891), A System of Logic. London: Longmans, Green. (First published in 1843.)Google Scholar
Mulaik, S. A. (1980), “A Critical History of the Origins of Exploratory Statistics in British Empiricism”, paper presented to the Annual Meeting of the Society for Multivariate Experimental Psychology, Fort Worth, Texas, November 7–8, 1980.Google Scholar
Niles, H. E. (1922), “Correlation causation and Wright's theory of ‘path coefficients‘”, Genetics, 7: 258–73.CrossRefGoogle Scholar
Norton, B. J. (1978), “Karl Pearson and Statistics: The Social Origins of Scientific Innovation”, Social Studies of Science 8: 3–34.CrossRefGoogle Scholar
Passmore, J. (1957), A Hundred Years of Philosophy. London: G. Duckworth.Google Scholar
Pearson, E. S. (1970), “Some Incidents in the Early History of Biometry and Statistics 1890–95” in Pearson and Kendall 1970. (First published in Biometrika 52: 3–18, 1965.)CrossRefGoogle Scholar
Pearson, E. S., and Kendall, M. G. (eds.) (1970), Studies in the History of Statistics and Probability. London: Charles Griffin.Google Scholar
Pearson, K. (1896), “Mathematical Contributions to the Theory of Evolution. III. Regression, Heredity and Panmixia”, Philsophical Transactions A 192: 253–318.Google Scholar
Pearson, K. (1903), “The Law of Ancestral Heredity”, Biometrika 2: 211–29.CrossRefGoogle Scholar
Pearson, K. [1892] (1911), The Grammar of Science. Part I: Physical. London: Adam & Charles Black.Google Scholar
Pearson, K. (1924), The Life, Letters and Labours of Francis Galton, vol. 2. Cambridge: Cambridge University Press.Google Scholar
Pearson, K., and Lee, A. (1903), “On the Laws of Inheritance in Man. I. Inheritance of Physical Characters”, Biometrika 2: 357–462.CrossRefGoogle Scholar
Perrot, M. (1977?), “Premières mésures des faits sociaux: les débuts de la statistique criminelle en France (1780–1830)”, Pour une Histoire de la Statistique 1: 125–37.Google Scholar
Quetelet, M. A. (1849), Letters Addressed to H.R.H. the Grand Duke of Saxe Coburg and Gotha, On the Theory of Probability as Applied to the Moral and Political Sciences. Translated by O. G. Downes. London: Charles and Edwin Layton. (Originally written in 1837 but published as Lettres … sur la théorie des probabilités, Brussels, 1846.)Google Scholar
Reid, T. [1895] (1968), “Essays on the Intellectual Powers of Man”, in Thomas Reid: Philosophical Works, Hamilton, W. (ed.). Hildesheim: Georg Olms Verlagsbuchhandlung. (Originally published in quarto, 1785, then incorporated in the current work, the 8th edition of which, published in Edinburgh, 1895, was the basis for the 1968 offprint.)Google Scholar
Seal, H. L. (1970), “The Historical Development of the Gauss Linear Model”, in Pearson and Kendall, pp. 207–30.Google Scholar
Shye, S. (1978), “On the Search for Laws in the Behavioral Sciences”, in Theory Construction and Data Analysis in the Behavioral Sciences, Shye, S. (ed.). San Francisco: Jossey-Bass Publishers, pp. 2–24.Google Scholar
Smith, J. G. (1934), Elementary Statistics. New York: Henry Holt.Google Scholar
Suppe, F. (ed.) (1977), The Structure of Scientific Theories. 2nd edition. Urbana: University of Illinois Press.Google Scholar
Thurstone, L. L. (1925), The Fundamentals of Statistics. New York: Macmillan.Google Scholar
Tukey, J. W. (1977), Exploratory Data Analysis. Reading, MA: Addison-Wesley.Google Scholar
Urbach, P. (1982), “Francis Bacon as a Precursor to Popper”, British Journal for the Philosophy of Science 33: 113–32.CrossRefGoogle Scholar
von Wright, G. H. (1951), A Treatise on Induction and Probability. London: Routledge and Kegan PaulGoogle Scholar
Walker, H. M. (1975), Studies in the History of Statistical Method. New York: Arno Press. (First published in Baltimore, 1929, by Willams & Wilkins.)Google Scholar
Warren, H. C. (1921), A History of the Association Psychology. New York: Charles Scribner's.CrossRefGoogle Scholar
Weld, L. D. (1916), Theory of Errors and Least Squares. New York: Macmillan.Google Scholar
Westergaard, H. (1968), Contributions to the History of Statistics. New York: Agathon Press. (First published in London, 1932, by P. S. King & Son.)Google Scholar
Whewell, W. [1847] (1966), The Philosophy of the Inductive Sciences Founded upon Their History. 2 Volumes. 2nd edition. New York: Johnson Reprint Corporation.Google Scholar
Whewell, W. (1968), William Whewell's Theory of Scientific Method, Butts, R. E. (ed.). Pittsburgh: University of Pittsburgh Press.Google Scholar
Worrall, J. (1982), “Scientific Realism and Scientific Change”, Philosophical Quarterly 32: 201–31.CrossRefGoogle Scholar
Wright, S. (1921), “Correlation and Causation”, Journal of Agricultural Research 20: 557–85.Google Scholar
Yule, G. U. (1897), “On the Theory of Correlation”, Journal of the Royal Statistical Society 60: 812–54.CrossRefGoogle Scholar
Yule, G. U. (1909), “The Applications of the Method of Correlation to Social and Economic Statistics”, Journal of the Royal Statistical Society 72: 721–30.CrossRefGoogle Scholar
Yule, G. U. (1911), An Introduction to the Theory of Statistics. London: Charles Griffin.CrossRefGoogle Scholar
Yule, G. U., and Kendall, M. (1949), An Introduction to the Theory of Statistics. 13th edition. London: Charles Griffin.Google Scholar