Volume II Foundations and Philosophy of Statistical Inference
Editors: William Leonard Harper, Clifford Alan Hooker
In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and algebraic structure in probabilistic and statistical theories. These advances, which include the development of the relations between semantics and metamathematics, between logics and algebras and the algebraic-geometrical foundations of statistical theories (especially in the sciences), have led to striking new insights into the formal and conceptual structure of probability and statistical theory and their scientific applications in the form of scientific theory. The foundations of statistics are in a state of profound conflict. Fisher's objections to some aspects of Neyman-Pearson statistics have long been well known. More recently the emergence of Bayesian statistics as a radical alternative to standard views has made the conflict especially acute. In recent years the response of many practising statisticians to the conflict has been an eclectic approach to statistical inference. Many good statisticians have developed a kind of wisdom which enables them to know which problems are most appropriately handled by each of the methods available. The search for principles which would explain why each of the methods works where it does and fails where it does offers a fruitful approach to the controversy over foundations.
Table of contents
Front Matter
Pages I-XI
The Poverty of Statisticism
Pages 1-46
On the Equivalence of Standard Inference Procedures
Pages 47-62
Empirical Probability, Objective Statistical Methods, and Scientific Inquiry
Pages 63-101
Philosophy of Survey-Sampling Practice
Pages 103-123
The Bayesian Influence, or How to Sweep Subjectivism under the Carpet
Pages 125-174
Confidence Intervals vs Bayesian Intervals
Pages 175-257
On Tests of Significance
Pages 259-272
Statistics and the Philosophers
Pages 273-314
Statistical Knowledge and Statistical Inference
Pages 315-352
Bayesian Statistics
Pages 353-363
A Theory of Statistical Evidence
Pages 365-436
Testing Theories and the Foundations of Statistics
Pages 437-455
Back Matter
Pages 456-456
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Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science
Volume I Foundations and Philosophy of Epistemic Applications of Probability Theory
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Volume III Foundations and Philosophy of Statistical Theories in the Physical Sciences
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