Ebook: Topics in the Foundation of Statistics

Foundational research focuses on the theory, but theories are to be related also to other theories, experiments, facts in their domains, data, and to their uses in applications, whether of prediction, control, or explanation. A theory is to be identified through its class of models, but not so narrowly as to disallow these roles. The language of science is to be studied separately, with special reference to the relations listed above, and to the consequent need for resources other than for theoretical description. Peculiar to the foundational level are questions of completeness (specifically in the representation of measurement), and of interpretation (a topic beset with confusions of truth and evidence, and with inappropriate metalinguistic abstraction).

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Foundational research focuses on the theory, but theories are to be related also to other theories, experiments, facts in their domains, data, and to their uses in applications, whether of prediction, control, or explanation. A theory is to be identified through its class of models, but not so narrowly as to disallow these roles. The language of science is to be studied separately, with special reference to the relations listed above, and to the consequent need for resources other than for theoretical description. Peculiar to the foundational level are questions of completeness (specifically in the representation of measurement), and of interpretation (a topic beset with confusions of truth and evidence, and with inappropriate metalinguistic abstraction).

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Foundational research focuses on the theory, but theories are to be related also to other theories, experiments, facts in their domains, data, and to their uses in applications, whether of prediction, control, or explanation. A theory is to be identified through its class of models, but not so narrowly as to disallow these roles. The language of science is to be studied separately, with special reference to the relations listed above, and to the consequent need for resources other than for theoretical description. Peculiar to the foundational level are questions of completeness (specifically in the representation of measurement), and of interpretation (a topic beset with confusions of truth and evidence, and with inappropriate metalinguistic abstraction).
Content:
Front Matter....Pages 1-3
A Philosophical Approach to Foundations of Science....Pages 5-9
A Pluralistic View of Foundations of Science....Pages 9-14
The Foundation of Science....Pages 14-18
Some Issues in the Foundation of Statistics....Pages 19-39
Rejoinder....Pages 69-83
Applications of Quantum Statistics in Psychological Studies of Decision Processes....Pages 85-97
Operationism, Probability and Quantum Mechanics....Pages 99-118
Computational Empiricism....Pages 119-130
Discussion of David Freedman’s “Some Issues in the Foundations of Statistics”....Pages 41-44
Foundational Issues in Statistics: Theory and Practice....Pages 45-49
Some Reflections on Freedman’s Critiques....Pages 50-57
Comments on Freedman’s Paper....Pages 58-63
Thoughts on the Concept and Application of Statistical Models....Pages 63-67
Blame Not the Laws of Nature....Pages 131-154
Biographical Notes....Pages 155-157
On Association for the Foundation of Science, Language and Cognition, AFOS; some history and some recent developments....Pages 159-160
Summary of AFOS Workshop, 1994....Pages 161-166

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Foundational research focuses on the theory, but theories are to be related also to other theories, experiments, facts in their domains, data, and to their uses in applications, whether of prediction, control, or explanation. A theory is to be identified through its class of models, but not so narrowly as to disallow these roles. The language of science is to be studied separately, with special reference to the relations listed above, and to the consequent need for resources other than for theoretical description. Peculiar to the foundational level are questions of completeness (specifically in the representation of measurement), and of interpretation (a topic beset with confusions of truth and evidence, and with inappropriate metalinguistic abstraction).
Content:
Front Matter....Pages 1-3
A Philosophical Approach to Foundations of Science....Pages 5-9
A Pluralistic View of Foundations of Science....Pages 9-14
The Foundation of Science....Pages 14-18
Some Issues in the Foundation of Statistics....Pages 19-39
Rejoinder....Pages 69-83
Applications of Quantum Statistics in Psychological Studies of Decision Processes....Pages 85-97
Operationism, Probability and Quantum Mechanics....Pages 99-118
Computational Empiricism....Pages 119-130
Discussion of David Freedman’s “Some Issues in the Foundations of Statistics”....Pages 41-44
Foundational Issues in Statistics: Theory and Practice....Pages 45-49
Some Reflections on Freedman’s Critiques....Pages 50-57
Comments on Freedman’s Paper....Pages 58-63
Thoughts on the Concept and Application of Statistical Models....Pages 63-67
Blame Not the Laws of Nature....Pages 131-154
Biographical Notes....Pages 155-157
On Association for the Foundation of Science, Language and Cognition, AFOS; some history and some recent developments....Pages 159-160
Summary of AFOS Workshop, 1994....Pages 161-166
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