Statistics as Inductive Inference
| Abstract | This chapter1 concerns the relation between statistics and inductive logic. I start by describing induction in formal terms, and I introduce a general notion of probabilistic inductive inference. This provides a setting in which statistical procedures and inductive logics can be cap- tured. Speciacally, I discuss three statistical procedures (hypotheses testing, parameter estimation, and Bayesian statistics) and I show to what extend they can be captured by certain inductive logics. I end with some suggestions on how inductive | |||||||||
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P. D. Magnus (2008). Demonstrative Induction and the Skeleton of Inference. International Studies in the Philosophy of Science 22 (3):303 – 315.
David H. Sanford (1990). The Inductive Support of Inductive Rules: Themes From Max Black. Dialectica 44:23-41.
Stephen Hetherington (2001). Why There Need Not Be Any Grue Problem About Inductive Inference as Such. Philosophy 76 (1):127-136.
Wesley C. Salmon (1977). Hempel's Conception of Inductive Inference in Inductive-Statistical Explanation. Philosophy of Science 44 (2):179-185.
Andrés Rivadulla (1991). Mathematical Statistics and Metastatistical Analysis. Erkenntnis 34 (2):211 - 236.
John D. Norton (2003). A Material Theory of Induction. Philosophy of Science 70 (4):647-670.
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