- 148 Downloads
Scientific inference is thought to be hypothetical-deductive: from given facts or experimental findings we infer laws or theories from which the facts follow or which account for the facts. This is an oversimplification, though, for the facts or findings are seldom logical consequences of the explanatory theory, but merely ‘agree’ with the theory. Bayes’ rule then enters as a more general scheme of hypothetical deduction: from given facts, to infer the most plausible theory that affords those facts highest probability.
KeywordsMultinomial Model Information Matrix Sample Coverage Category Probability Linkage Parameter
Unable to display preview. Download preview PDF.
- Birnbaum, A.: 1969, ‘Concepts of Statistical Evidence’, Philosophy, Science and Method (S. Morgenbesser, P. Suppes, M. White, eds.), St. Martin’s Press, New York.Google Scholar
- Edwards, A. W. F.: 1972, Likelihood, Cambridge University Press, Cambridge.Google Scholar
- Einstein, A. and Infeld, L.: 1938, The Evolution of Physics, Simon and Schuster, New York.Google Scholar
- Hintikka, K. J. J.: 1967, ‘Induction by Elimination and Induction by Enumeration’, The Problem of Inductive Logic (I. Lakatos, ed.), North-Holland Publ. Co., Amsterdam.Google Scholar
- Jeffreys, H. and Wrinch, D.: 1921, ‘On Certain Fundamental Principles of Scientific Inquiry’, Phil. Mag. 42, 369–390.Google Scholar
- Popper, K. R.: 1959, Logic of Scientific Discovery, Hutchinson, London.Google Scholar
- Rosenkrantz, R. D.: 1976, ‘Simplicity’, Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science (W. A. Harper and C. K. Hooker, eds.), D. Reidel, Dordrecht, Vol. 1, 167–203.Google Scholar
- Smith, C. A. B.: 1969, Biomathematics, Vol. 2, Griffin, London.Google Scholar
- Sober, E.: 1975, Simplicity, Oxford University Press, Oxford.Google Scholar
- Sinnott, E. W., Dunn, L. C., and Dobzhansky, T.: 1958, Principles of Genetics, McGraw-Hill, New York.Google Scholar