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Some issues in the foundation of statistics. (With comments by J. Berger, E. L. Lehmann, P. W. Holland, C. C. Clogg, N. W. Henry and the author’s rejoinder). (English) Zbl 0945.62004
Summary: After sketching the conflict between objectivists and subjectivists on the foundations of statistics, this papcr discusses an issue facing statisticians of both schools, namely, model validation. Statistical models originate in the study of games of chance, and have been successfully applied in the physical and life sciences. However, there are basic problems in applying the models to social phenomena; some of the difficulties will be pointed out. Hooke’s law will be contrasted with regression models for salary discrimination, the latter being a fairly typical application in the social sciences.

MSC:
62A01 Foundations and philosophical topics in statistics
62P25 Applications of statistics to social sciences
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