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Introductory Remarks on Metastatistics for the Practically Minded Non-Bayesian Regression Runner

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Abstract

It would appear that much debate among practically minded researchers in economics, social science, and in other fields, is rooted in (frequently) unstated assumptions about the underlying philosophical justification for the statistical procedures being debated. In this chapter, I try to provide a simple non-technical introduction to some long-standing debates about “metastatistical” questions, especially those that divide (some) “Bayesians” from (some) non-Bayesians while attempting to draw out some implications for the “practically minded non-Bayesian regression runner.” Some of the issues which have prompted the most raucous debate in philosophical circles include: the meaning of “probability,” the importance or unimportance of pre-designation (pre-specified research design), the role of “models,” and the practical value of hypothesis testing and other common statistical practices. I discuss some of the links between these philosophical views and actual practice and consider two different case studies — one from medicine and another from labor economics.

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References

  • Abowd, J. and H. Farber (1982) Job queues and the union status of workers. Industrial and Labor Relations Review 35.

    Google Scholar 

  • Allais, M. (1953) Le comportement de l’homme rationnel devant le risque: critique des postulats et axiomes de l’ecole americaine. Econometrica 21, 503–46.

    Article  Google Scholar 

  • Allan, C.K., R.R. Thiagarajan, P.J. del Nido, S.J. Roth, M.C. Almodovar and P.C. Laussen (2007) Indication for initiation of mechanical circulatory support impacts survival of infants with shunted single-ventricle circulation supported with extracorporeal membrane oxygenation. Journal of Thoracic and Cardiovascular Surgery 133, 660–7.

    Article  Google Scholar 

  • Angrist, J. (2004) Treatment effect heterogeneity in theory and practice. Economic Journal 114, 52–83.

    Article  Google Scholar 

  • Ashenfelter, O. (1978) Union relative wage effects: new evidence and a survey of their implications for wage inflation. In R. Stone and W. Peterson (eds.), Economic Contributions to Public Policy, pp. 31–63. New York: St. Martin’s Press.

    Chapter  Google Scholar 

  • Askie, L.M. and T. Win (2003) The use of oxygen in neonatal medicine: half a century of uncertainty. Neoreviews 4, e340–8.

    Article  Google Scholar 

  • Bahra, A., M. Walsh, S. Menon and P.J. Goadsby (2003) Does chronic daily headache arise de novo in association with regular use of analgesics? Headache 43, 179–90.

    Article  Google Scholar 

  • Barnard, G.A. (1947a) The meaning of a significance test. Biometrika 34, 179–82.

    Article  Google Scholar 

  • Barnard, G.A. (1947b) A review of Sequential Analysis by Abraham Wald. Journal of the American Statistical Association 42, 658–69.

    Article  Google Scholar 

  • Barnouw, J. (1979) A review of The emergence of probability: a philosophical study of early ideas about probability, induction and statistical inference. Eighteenth Century Studies 12, 438–43.

    Article  Google Scholar 

  • Bartlett, R.H. (2005) Extracorporeal life support: history and new directions. American Society for Artificial Internal Organs Journal 51, 487–9.

    Article  Google Scholar 

  • Bartlett, R.H., D.W. Roloff, R.G. Cornell, A.F. Andrews, P.W. Dillon and J.B. Zwischenberger (1985) Extracorporeal circulation in neonatal respiratory failure: a prospective randomized study. Pediatrics 76, 479–87.

    Google Scholar 

  • Bayes, T. (1958) An essay towards solving a problem in the doctrine of chances. Biometrika 45, 296–315 by the late Reverend Mr. Bayes, communicated by Mr. Price, in a letter to John Canton, M.A. and F.R.S.

    Article  Google Scholar 

  • Berger, J.O. and R.L. Wolpert (1988) The Likelihood Principle (second edition). Hayward, Calif.: Institute of Mathematical Statistics.

    Google Scholar 

  • Berry, D.A. (1989) [Investigating therapies of potentially great benefit: ECMO]: Comment: ethics and ECMO. Statistical Science 4, 337–40.

    Article  Google Scholar 

  • Berry, D.A. (2006) Bayesian clinical trials. Nature Reviews Drug Discovery 5, 27–36.

    Article  Google Scholar 

  • Berry, S.M. and J.B. Kadane (1997) Optimal bayesian randomization. Journal of the Royal Statistical Society, Part B 59, 813–19.

    Article  Google Scholar 

  • Bickel, P.J. and E.L. Lehmann (2001) Frequentist inference. In N.J. Smelser and P.B. Baltes (eds.), International Encyclopedia of the Social and Behavioral Sciences pp. 5789–96. Oxford: Pergamon.

    Chapter  Google Scholar 

  • Boes, C.J. and D.J. Capobianco (2005) Chronic migraine and medication-overuse headache through the ages. Cephalalgia 25, 378–90.

    Article  Google Scholar 

  • Bottke, W.F., D. Vokrouhlický and D. Nesvorný (2007) An asteroid breakup 160 million years ago as the probable source of the K/T impactor. Nature 449, 48–53.

    Article  Google Scholar 

  • British Journal of Ophthalmology (1974) Editorial: retrolental fibroplasia (rlf) unrelated to oxygen therapy. British Journal of Ophthalmology 58, 487–9.

    Article  Google Scholar 

  • Capobianco, D.J., J.W. Swanson and D.W. Dodick (2001) Medication-induced (analgesic rebound) headache: historical aspects and initial descriptions of the North American experience. Headache 41, 500–2.

    Article  Google Scholar 

  • Card, D. (1992) The effect of unions on the distribution of wages: redistribution or relabelling? NBER Working Paper 4195. Cambridge, Mass.: National Bureau of Economic Research.

    Book  Google Scholar 

  • Card, D. (1996) The effect of unions on the structure of wages: a longitudinal analysis. Econometrica 64, 957–79.

    Article  Google Scholar 

  • Card, D. (2007) Lecture notes for Topics in Labor Economics. Cambridge: Mass.: Department of Economics, Harvard University.

    Google Scholar 

  • Card, D., T. Lemieux and C.W. Riddell (2003) Unionization and wage inequality: a comparative study of the U.S., U.K. and Canada. NBER Working Paper 9473. Cambridge, Mass.: National Bureau of Economic Research.

    Book  Google Scholar 

  • Cartwright, N. (1984) How the Laws of Physics Lie. New York: Oxford University Press.

    Google Scholar 

  • Chew, S.H. (1983) A generalization of the quasilinear mean with application to the measurement of income inequality and decision-theory resolving the Allais paradox. Econometrica 51, 1065–92.

    Article  Google Scholar 

  • Chib, S. and B.H. Hamilton (2002) Semiparametric Bayes analysis of longitudinal data treatment models. Journal of Econometrics 110, 67–89.

    Article  Google Scholar 

  • Couzin, J. (2004) The new math of clinical trials. Science 303, 784–6.

    Article  Google Scholar 

  • Davis, P.G., A. Tan, C. O’Donnell and A. Schulze (2004) Resuscitation of newborn infants with 100% oxygen or air: a systematic review and meta-analysis. Lancet 364, 1329–33.

    Article  Google Scholar 

  • Deaton, A. and J. Muellbauer (1980) Economics and Consumer Behavior. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • deFinetti, B. (1974) The Theory of Probability (two volumes). New York: John Wiley.

    Google Scholar 

  • DiNardo, J. (2007) Interesting questions in freakonomics. Journal of Economic Literature 45, 973–1000.

    Article  Google Scholar 

  • DiNardo, J. and D.S. Lee (2004) Economic impacts of new unionization on private sector employers: 1984–2001. Quarterly Journal of Economics 119, 1383–441.

    Article  Google Scholar 

  • DiNardo, J. and T. Lemieux (1992) Alcohol, marijuana, and American youth: the unintended, consequences of government regulation. NBER Working Paper 4212. Cambridge, Mass.: National Bureau of Economic Research.

    Book  Google Scholar 

  • DiNardo, J. and T. Lemieux (1997) Diverging male wage inequality in the United States and Canada, 1981–1988: do institutions explain the difference? Industrial and Labor Relations Review 50(4), 629–51.

    Google Scholar 

  • DiNardo, J. and T. Lemieux (2001) Alcohol, marijuana, and American youth: the unintended consequences of government regulation. Journal of Health Economics 20, 991–1010.

    Article  Google Scholar 

  • Earman, J. (1992) Bayes or Bust: A Critical Examination of Bayesian Confirmation Theory. Cambridge, Mass.: MIT Press.

    Google Scholar 

  • Edmeads, J. (1990) Analgesic-induced headaches: an unrecognized epidemic. Headache 30, 614–15.

    Article  Google Scholar 

  • Edwards, W., H Lindman and L.J. Savage (1963) Bayesian statistical inference for psychological research. Psychological Review 70(3).

    Google Scholar 

  • Einstein, A. (1920) Relativity: The Special and General Theory, trans. Robert W. Lawson. New York: Henry Holt and Company.

    Google Scholar 

  • Feller, W. (1950) An Introduction to Probability Theory and Its Applications, Volume 1. New York: John Wiley.

    Google Scholar 

  • Ferrari, A., C. Coccia and E. Sternieri (2008) Past, present, and future prospects of medication-overuse headache classification. Headache 48(7), 1096–102.

    Article  Google Scholar 

  • Fisher, C.M. (1978) Analgesic rebound headache refuted. Headache 28, 666.

    Article  Google Scholar 

  • Food and Drug Administration, US Department of Health and Human Services (2006) Guidance for the use of Bayesian statistics in medical device clinical trials — draft guidance for industry and FDA staff. Accessed Center for Devices and Radiological Health, Division of Biostatistics, Office of Surveillance and Biometrics.

    Google Scholar 

  • Freedman, D.A. (1995) Some issues in the foundation of statistics. Foundations of Science 1, 19–39.

    Article  Google Scholar 

  • Freeman, R. (1984) Longitudinal analysis of the effects of trade unions. Journal of Labor Economics 2, 1–26.

    Article  Google Scholar 

  • Freeman, R.B. and M. Kleiner (1990) The impact of new unionization on wages and working conditions. Journal of Labor Economics 8, S8–25.

    Article  Google Scholar 

  • Freeman, R.B. and M.M. Kleiner (1999) Do unions make enterprises insolvent? Industrial and Labor Relations Review 52, 510–27.

    Article  Google Scholar 

  • Friedman, M. (1950) Some comments on the significance of labor unions for economic policy. In D.M. Wright (ed.), The Impact of the Union: Eight Economic Theorists Evaluate the Labor Union Movement New York: Harcourt, Brace and Company, and Institute on the Structure of the Labor Market, American University, Washington DC.

    Google Scholar 

  • Fuchs, V.R., A.B. Krueger and J.M. Poterba (1998) Economists’ views about parameters, values, and policies: Survey results in labor and public economics. Journal of Economic Literature 36, 1387–425.

    Google Scholar 

  • Garber, D. and S. Zabell (1979) On the emergence of probability. Archive for the History of the Exact Sciences 21, 33–53, communicated by C. Truesdell.

    Article  Google Scholar 

  • Gillies, D. (2000) Philosophical Theories of Probability. Philosophical Issues in Science. London: Routledge.

    Google Scholar 

  • Gladstone, J.P. and D.W. Dodick (2004) From hemicrania lunaris to hemicrania continua: an overview of the revised international classification of headache disorders. Headache 44, 692–705.

    Article  Google Scholar 

  • Glaeser, E.L. and E.F.P. Luttmer (1997) The misallocation of housing under rent control. NBER Working Paper 6220. Cambridge, Mass: National Bureau of Economic Research.

    Book  Google Scholar 

  • Glaeser, E.L. and E.F.P. Luttmer (2003) The misallocation of housing under rent control. American Economic Review 93, 1027–46.

    Article  Google Scholar 

  • Good, I.J. (1971) 46656 varities of Bayesians. American Statistician 25, 62–3.

    Google Scholar 

  • Good, I.J. (1983) Good Thinking: The Foundations of Probability and Its Applications. Minneapolis: University of Minnesota Press.

    Google Scholar 

  • Good, I.J. and R.A. Gaskins (1971) Nonparametric roughness penalties for probability densities. Biometrika 58, 255–77.

    Article  Google Scholar 

  • Goodman, S.N. (1999) Toward evidence-based medical statistics. 1: The p value fallacy. Annals of Internal Medicine 130, 995–1004.

    Article  Google Scholar 

  • Goodman, S. (2004) Basic Bayes — I. Technical report. Johns Hopkins University National Institutes of Health, Bethesda, Maryland, from a Workshop sponsored by the Food and Drug Administration and Johns Hopkins University on “Can Bayesian Approaches to Studying New Treatments Improve Regulatory Decision-Making?” Groopman, J. (2007) How Doctors Think. Boston: Houghton Mifflin.

    Google Scholar 

  • Gupta, V.K. (2004a) Chronic daily headache with analgesic overuse: epidemiology and impact on quality of life. Neurology 63, 1341.

    Article  Google Scholar 

  • Gupta, V.K. (2004b) Classification of primary headaches: pathophysiology versus nosology? British Medical Journal, Letter to the Editor.

    Google Scholar 

  • Gupta, V.K. (2004c) De novo headache and analgesic consumption: pathophysiological insights from nosologic complexity? Headache 44, 375.

    Article  Google Scholar 

  • Hacking, I. (1965) The Logic of Statistical Inference. Cambridge: Cambridge University Press.

    Google Scholar 

  • Hacking, I. (1967) Slightly more realistic personal probability. Philosophy of Science 34, 311–25.

    Article  Google Scholar 

  • Hacking, I. (1975) The Emergence of Probability: A Philisophical Study of Early Ideas About Probability, Induction and Statistical Inference. Cambridge: Cambridge University Press.

    Google Scholar 

  • Hacking, I. (1983) Representing and Intervening: Introductory Topics in the Philosophy of Natural Science. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Hacking, I. (1990) The Taming of Chance. Number 17 in Ideas in Context. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Hacking, I. (2001) An Intoduction to Probability and Inductive Logic. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Hansmann, G. (2004) Neonatal resuscitation on air: it is time to turn down the oxygen tanks [corrected]. Lancet 364, 1293–94.

    Article  Google Scholar 

  • Headache Classification Committee of the International Headache Society (2004) The international classification of headache disorders: second edition. Cephalalgia 24, 9–160.

    Article  Google Scholar 

  • Headache Classification Committee of the International Headache Society (2006) New appendix criteria open for a broader concept of chronic migraine. Cephalalgia 26, 742.

    Article  Google Scholar 

  • Heckman, J.J. (1990) Varieties of selection bias. American Economic Review 80, 313–18.

    Google Scholar 

  • Hollis, S. and F. Campbell (1999) What is meant by intention to treat analysis? Survey of published randomized controlled trials. British Medical Journal 319, 670–4.

    Article  Google Scholar 

  • Hoover, K.D. and M.V. Siegler (2008a) Sound and fury: McCloskey and significance testing in economics. Journal of Economic Methodology 15, 1–37.

    Article  Google Scholar 

  • Hoover, K.D. and M.V. Siegler (2008b) The rhetoric of signifying nothing: a rejoinder to Ziliak and McCloskey. Journal of Economic Methodology 15, 57–68.

    Article  Google Scholar 

  • Horowitz, J.L. and C.F. Manski (1998) Censoring of outcomes and regressors due to survey nonresponse: identification and estimation using weights and imputations. Journal of Econometrics 84, 37–58.

    Article  Google Scholar 

  • Howson, C. (1997) A logic of induction. Philosophy of Science 64, 268–90.

    Article  Google Scholar 

  • Howson, C. and P. Urbach (1993) Scientific Reasoning: The Bayesian Approach (second edition). Chicago and La Salle, Ill.: Open Court.

    Google Scholar 

  • Humphrey, T. (1992) Marshallian cross diagrams and their uses before Alfred Marshall: the origins of supply and demand geometry. Federal Bank of Richmond Economic Review, March–April, 3–23.

    Google Scholar 

  • International Headache Society (1988) Classification and diagnostic criteria for headache disorders, cranial neuralgias and facial pain. Headache Classification Committee of the International Headache Society. Cephalagia 8 (Supplement 7), 1–96.

    Google Scholar 

  • Jakubson, G. (1991) Estimation and testing of the union wage effect using panel data. Review of Economic Studies 58, 971–91.

    Article  Google Scholar 

  • Jaynes, E.T. (1976) Confidence intervals vs Bayesian intervals. In W.L. Harper and C.A. Hooker (eds.), Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science, Volume II. Holland: Reidel Publishing Co.

    Google Scholar 

  • Jenkin, F. (1868) Trade-unions: how far legitimate? In S.C. Colvin and J.A. Ewing (eds.), Papers, Literary, Scientific, &c by the late Fleeming Jenkin, Volume 2. London: Longmans, Green & Co., originally published in the North British Review, March 1868.

    Google Scholar 

  • Jenkin, F. (1870) The graphic representation of the laws of supply and demand, and their application to labour. In S.C. Colvin and J.A. Ewing (eds.), Papers, Literary, Scientific, &c by the late Fleeming Jenkin Volume 2. London: Longmans, Green & Co.

    Google Scholar 

  • Jones, H.L. (1958) Inadmissible samples and confidence limits. Journal of the American Statistical Association 53, 482–90.

    Article  Google Scholar 

  • Joyce, J.M. (1999) The Foundations of Causal Decision Theory. Cambridge, Mass.: MIT Press.

    Book  Google Scholar 

  • Keane, M.P. (2007) Structural vs. atheoretic approaches to econometrics. Journal of Econometrics, http://gemini.econ.umd.edu/jrust/research/JE_Keynote_7.pdf.

  • Keynes, J.M. (1921) A Treatise on Probability. London: Macmillan and Co., Limited.

    Google Scholar 

  • Kline, B. and J. Tobias (2008) The wages of BMI: Bayesian analysis of a skewed treatment-response model with nonparametric endogeneity. Journal of Applied Econometrics. Forthcoming.

    Google Scholar 

  • Kmenta, J. (2000) Elements of Econometrics (second edition). Ann Arbor, Mich.: University of Michigan Press.

    Google Scholar 

  • Koenker, R. (2007) Personal communication.

    Google Scholar 

  • Krashinsky, H.A. (2004) Do marital status and computer usage really change the wage structure? Journal of Human Resources 3, 774–91.

    Article  Google Scholar 

  • Kyburg Jr., H.E. and M. Thalos (eds.) (2003) Probability is the Very Guide to Life: The Philosophical Uses of Chance. Chicago and La Salle, Ill.: Open Court.

    Google Scholar 

  • Lance, F., C. Parkes and M. Wilkinson (1988) Does analgesic abuse cause headaches de novo? Headache 28, 61–2.

    Article  Google Scholar 

  • Laplace, P.S. (1795) Essai Philosophique sur les Probabilités sixth edition, translated as “Philosophical Essay on Probabilities” from the sixth French edition by Frederick Wilson Truscott and Frederick Lincoln Emory and first US edition published in 1902. New York: John Wiley & Sons .

    Google Scholar 

  • LeCam, L. (1977) A note on metastatistics or “an essay toward stating a problem in the doctrine of chances.” Synthese 36, 133–60.

    Article  Google Scholar 

  • LeCam, L. (1990) Maximum likelihood: an introduction. International Statistical Review 58, 153–71.

    Article  Google Scholar 

  • Lemieux, T. (1998) Estimating the effects of unions on wage inequality in a panel data model with comparative advantage and non-random selection. Journal of Labor Economics 16, 261–91.

    Article  Google Scholar 

  • Lequier, L. (2004) Extracorporeal life support in pediatric and neonatal critical care: a review. Journal of Intensive Care Medicine 19, 243–58.

    Article  Google Scholar 

  • Lewis, H.G. (1963) Unionism and relative wages in the United States. Chicago: University of Chicago Press.

    Google Scholar 

  • Lewis, H.G. (1986) Union relative wage effects. In O. Ashenfelter and R. Layard (eds.), Handbook of Labor Economics, Volume 2, Ch. 20, pp. 1139–82. Amsterdam: North-Holland.

    Chapter  Google Scholar 

  • Lindley, D.V. (1971) The estimation of many parameters. In V.P. Godambe and D.A. Sprott (eds.), Foundations of Statistical Inference, pp. 435–447. Toronto: Holt, Rinehart and Winston.

    Google Scholar 

  • Lindley, D.V. (2000) The philosophy of statistics. The Statistician 49, 293–337.

    Google Scholar 

  • Lipman, A.G. (2004) Does opiophobia exist among pain specialists? Journal of Pain and Palliative Care Pharmacotherapy 18, 1–5.

    Google Scholar 

  • Mathew, N.T. (2008) Response: drug-induced refractory headache. Headache 48, 729.

    Article  Google Scholar 

  • Mathew, N.T., R. Kurman and F. Perez (1990) Drug induced refractory headache — clinical features and management. Headache 30, 634–38.

    Article  Google Scholar 

  • Mayo, D.G. (1979) Testing statistical testing. In J.C. Pitt (ed.), Philosophy in Economics, Volume 16 of The University of Western Ontario Series in Philosophy of Science, pp. 175–203. Dordrecht, Holland: D. Reidel Publishing Company. Papers Deriving from and Related to a Workshop on Testability and Explanation in Economics held at Virginia Polytechnic Institute and State University, 1979.

    Google Scholar 

  • Mayo, D.G. (1982) On after-trial criticisms of Neyman-Pearson theory of statistics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1, 145–58.

    Google Scholar 

  • Mayo, D.G. (1996) Error and the Growth of Experimental Knowledge: Science and its Conceptual Foundations. Chicago: University of Chicago Press.

    Book  Google Scholar 

  • Mayo, D.G. (2003) Severe testing as a guide for inductive reasoning. In H.E. Kyburg, Jr. and M. Thalos (eds.), Probability is the Very Guide of Life: The Philosophical Uses of Chance, pp. 89–117. Chicago and La Salle, Ill.: Open Court.

    Google Scholar 

  • Mayo, D.G. and M. Kruse (2002) Principles of inference and their consequences. In D. Corfield and J. Williamson (eds.), Foundations of Bayesianism, Volume 24 of Applied Logic. Kluwer Academic Publishers.

    Google Scholar 

  • Mayo, D.G. and A. Spanos (2006) Severe testing as a basic concept in a Neyman-Pearson philosophy of induction. British Journal for the Philosophy of Science 57, 323–57.

    Article  Google Scholar 

  • McCloskey, D. (1985) The loss function has been mislaid: the rhetoric of significance tests. American Economic Review Supplement 75, 201–5.

    Google Scholar 

  • McCloskey, D. and S. Ziliak (1996) The standard error of regressions. Journal of Economic Literature 34, 97–114.

    Google Scholar 

  • McFadden, D. (1974) Conditional logit analysis of qualitative choice behavior. In P. Zarembka (ed.), Frontiers of Econometrics, Volume 3, Ch. 4, pp. 105–42. New York and London: Academic Press.

    Google Scholar 

  • Meldrum, M.L. (2003) A capsule history of pain management. Journal of the American Medical Association 290, 2470–5.

    Article  Google Scholar 

  • Newey, W. (1985) Generalized method of moments specification tests. Journal of Econometrics 29, 229–56.

    Article  Google Scholar 

  • Neyman, J. (1957) Inductive behavior as a basic concept of philosophy of science. Revue d’Institute International de Statistique 25, 7–22.

    Article  Google Scholar 

  • Obermann, M. and Z. Katsarava (2007) Management of medication-overuse headache. Expert Review of Neurotherapeutics 7, 1145–55.

    Article  Google Scholar 

  • Olesen, J., M.-G. Bousser, H.-C. Diener, D. Dodick, M. First, P. Goadsby, H. Göbel, M. Lainez, J. Lance, R. Lipton, G. Nappi, F. Sakai, J. Schoenen, S. Silberstein and T. Steiner (2006) New appendix criteria open for a broader concept of chronic migraine. Cephalalgia 26, 742.

    Article  Google Scholar 

  • Paneth, N. and S. Wallenstein (1985) Extracorporeal membrane oxygenation and the play the winner rule. Pediatrics 76, 622–3.

    Google Scholar 

  • Peirce, C.S. (1878a) The doctrine of chances. Popular Science Monthly 12, 604–15.

    Google Scholar 

  • Peirce, C.S. (1878b) The probability of induction. Popular Science Monthly 12, 705–18.

    Google Scholar 

  • Peirce, C.S. (1958) Collected papers. In A. Burks (ed.), Collected Papers, Volumes 7–8. Cambridge, Mass.: Harvard University Press.

    Google Scholar 

  • Pini, L.-A., A. Cicero and M. Sandrini (2001) Long-term follow-up of patients treated for chronic headache with analgesic overuse. Cephalalgia 21, 878–83.

    Article  Google Scholar 

  • Poirier, D.J. (1995) Intermediate Statistics and Econometrics: A Comparative Approach. Cambridge, Mass.: MIT Press.

    Google Scholar 

  • Rust, J. (2007) Comments on Michael Keane’s “Structural vs. atheoretic approaches to econometrics.” Journal of Econometrics. Forthcoming.

    Google Scholar 

  • Saper, J.R. (2005) Editorial to the guidlines for trials of behavioral treatments for recurrent headache. Headache 45 (Supplement 2), S90–1.

    Article  Google Scholar 

  • Saper, J.R. and A.E. Lake (2006a) Medication overuse headache: type i and type ii. Cephalalgia 26, 1262.

    Article  Google Scholar 

  • Saper, J.R. and A.E. Lake (2006b) Sustained opioid therapy should rarely be administered to headache patients: clinical observations, literature review and proposed guidelines Headache Currents 3, 67–70.

    Article  Google Scholar 

  • Saper, J.R., A.E. Lake, R.L. Hamel, T.E. Lutz, B. Branca, D.B. Sims and M.M. Kroll (2004) Daily scheduled opioids for intractable head pain: long-term observations of a treatment program. Neurology 62, 1687–94.

    Article  Google Scholar 

  • Savage, L.J. (1967) Difficulties in the theory of personal probability. Philosophy of Science 34, 305–10.

    Article  Google Scholar 

  • Savage, L.J. (1972) The Foundations of Statistics. New York: Dover Publications. Revised and expanded version of the original 1954 work.

    Google Scholar 

  • Savage, L.J., M. Bartlett, G.A. Barnard, D.R. Cox, E.S. Pearson, C.A.B. Smith, et al. (1962) The foundations of statistical inference: a discussion. In G.A. Barnard and D.R. Cox (eds.), The Foundations of Statistical Inference: A Discussion. Methuen’s Monographs on Applied Probability and Statistics. London and Colchester: Spottiswoode Ballantyne & Co. Ltd. (A Discussion Opened by L.J. Savage at the Joint Statistics Seminar of Birbeck and Imperial Colleges. Discussants also include H. Ruben, I.J. Good, D.V. Lindley, P. Armitage, C.B. Winsten, R. Syski, E.D. Van Rest and G.M. Jenkins.)

    Google Scholar 

  • Scadding, J.W. (2004) Treatment of neuropathic pain: historical aspects. Pain Medicine 5 (Supplement 1), S3–8.

    Article  Google Scholar 

  • Schuster, L. (2004) Revised guidelines for medication overuse headache. Neurology Reviews 12.

    Google Scholar 

  • Shah, P.S. (2005) Resuscitation of newborn infants. Lancet 365, 651–2; author reply, 652–3.

    Article  Google Scholar 

  • Silberstein, S. (2004) Introduction: Aching heads. In J. Kempner (ed.), Aching Heads, Making Medicine: Gender and Legitimacy in Headache. Philadelphia.

    Google Scholar 

  • Silberstein, S.D., R.B. Lipton, S. Solomon and N.T. Mathew (1994) Classification of daily and near-daily headaches: proposed revisions to the IHS criteria. Headache 34, 1–7.

    Article  Google Scholar 

  • Silverman, W.A. (1980) Retrolental Fibroplasia. A Modern Parable London: Grune and Stratton.

    Google Scholar 

  • Silverman, W.A. (2004) A cautionary tale about supplemental oxygen: the albatross of neonatal medicine. Pediatrics 113, 394–96.

    Article  Google Scholar 

  • Simon, J. (1997) The philosophy and practice of resampling statistics, http://www.juliansimon.com/writings/Resampling_Philosophy/, accessed May 1, 2008.

    Google Scholar 

  • Sober, E. (2002) Bayesianism: its scope and limits. In R. Swinburne (ed.), Proceedings of the British Academy, Volume 113, pp. 21–38. Oxford: Oxford University Press and the British Academy.

    Google Scholar 

  • Society, I.H. (1988) Classification and diagnostic criteria for headache disorders, cranial neuralgias and facial pain. Cephalagia 8, 1–96.

    Article  Google Scholar 

  • Stigler, S.M. (1982) Thomas Bayes’s Bayesian inference. Journal of the Royal Statistical Society, Series A (General) 145, 250–8.

    Article  Google Scholar 

  • Thourani, V.H., P.M. Kirshbom, K.R. Kanter, J. Simsic, B.E. Kogon, S. Wagoner, F. Dykes, J. Fortenberry and J.M. Forbess (2006) Venoarterial extracorporeal membrane oxygenation (VA-ECMO) in pediatric cardiac support. Annals of Thoracic Surgery 82, 138–45.

    Article  Google Scholar 

  • Urbach, P. (1985) Randomization and the design of experiments. Philosophy of Science 52, 256–73.

    Article  Google Scholar 

  • Vanderveen, D.K., T.A. Mansfield and E.C. Eichenwald (2006) Lower oxygen saturation alarm limits decrease the severity of retinopathy of prematurity. Journal of the American Association for Pediatric Ophthalmology and Strabismus 10, 445–8.

    Article  Google Scholar 

  • Venn, J. (1888) The Logic of Chance: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to its Logical Bearings and its Application to Moral and Social Science. London and New York: Macmillan, third edition (first edition, 1866, second edition, greatly expanded, 1876, third edition, 1888).

    Google Scholar 

  • von Mises, R. (1957) Probability, Statistics, and Truth. London and New York: Allen and Unwin Ltd. and the Macmillan Company.

    Google Scholar 

  • Ward, T.N. (2008) My favorite article: drug-induced refractory headache. Headache 48, 728–9.

    Article  Google Scholar 

  • Ware, J.H. (1989) Investigating therapies of potentially great benefit: ECMO. Statistical Science 4, 298–306.

    Article  Google Scholar 

  • Wei, L.J. and S. Durham (1978) The randomized play-the-winner rulein medical trials. Journal of the American Statistical Association 73, 840–3.

    Article  Google Scholar 

  • Whitney, C.W. and M. Von Korff (1992) Regression to the mean in treated versus untreated chronic pain. Pain 50, 281–5.

    Article  Google Scholar 

  • Willis, T. (1683) Two discourses concerning the soul of brutes which is that of the vital and sensitive of man. The first is physiological, shewing the nature, parts, powers, and affections of the same. The other is pathological, which unfolds the diseases which affect it and its primary seat; to wit, the brain and nervous stock, and treats of their cures: with copper cuts. By Thomas Willis, doctor in physick, professor of natural philosophy in Oxford, and also one of the Royal Society, and of the renewned college of physicians in London. Englished by S. Pordage, student in physick. Englished by S. Pordage, student in physick. Imprint: London: printed for Thomas Dring at the Harrow near Chancery-Lane End in Fleetstreet Ch. Harperat the Flower-de-Luce against St. Dunstan’s Church in Fleet-street, and John Leigh at Stationers-Hall, 1683.

    Google Scholar 

  • Wilson, E.B. (1952) An Introduction to Scientific Research. New York: McGraw-Hill.

    Google Scholar 

  • Zed, P.J., P.S. Loewen and G. Robinson (1999) Medication-induced headache: overview and systematic review of therapeutic approaches. Annals of Pharmacotherapy 33, 61–72.

    Article  Google Scholar 

  • Zelen, M. (1969) Play the winner rule and the controlled clinical trial. Journal of the American Statistical Association 64, 131–46.

    Article  Google Scholar 

  • Zellner, A. (1984) Causality and econometrics. In Basic Issues in Econometrics, Ch. 1, pp. 35–74. Chicago and London: University of Chicago Press.

    Google Scholar 

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© 2009 John DiNardo

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DiNardo, J. (2009). Introductory Remarks on Metastatistics for the Practically Minded Non-Bayesian Regression Runner. In: Mills, T.C., Patterson, K. (eds) Palgrave Handbook of Econometrics. Palgrave Macmillan, London. https://doi.org/10.1057/9780230244405_3

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