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A historical overview of textbook presentations of statistical science

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  • Alan Agresti

Abstract

We discuss the evolution in the presentation of statistical science in English‐language textbooks, focusing on the period 1900–1970 as the field became increasingly influenced by research contributions of R. A. Fisher and Jerzy Neyman. George Udny Yule authored an early popular book that had 14 editions. Methods books authored by Fisher and George Snedecor guided scientists in implementing modern statistical methods. In the World War 2 era, textbooks authored by Maurice Kendall, Samuel Wilks, and Harald Cramér presented a dramatically different “mathematical statistics” portrayal that centered on theoretical foundations. The textbook emergence of the Bayesian approach occurred later, influenced by books by Harold Jeffreys and Leonard J. Savage. The quarter century after World War 2 saw an explosion of books in mathematical statistics and in particular topic areas. In addition to his highly cited research contributions, Sir David Cox was a prolific author of books on a great variety of topics. Most were published after the 1900–1970 period considered in this article, but we also summarize them as part of this special issue to honor his memory. We conclude by discussing the future of textbooks on the foundations of statistical science in the emerging, ever‐broader, era of data science.

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  • Alan Agresti, 2023. "A historical overview of textbook presentations of statistical science," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 50(4), pages 1641-1666, December.
    • Handle: RePEc:bla:scjsta:v:50:y:2023:i:4:p:1641-1666
    DOI: 10.1111/sjos.12641
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    1. Elja Arjas, 2011. "On Future Directions in Statistical Methodologies – Some Speculations," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 38(2), pages 185-194, June.
    2. Shewhart, Walter A., 1939. "Statistical Method from the Viewpoint of Quality Control," USDA Miscellaneous 327285, United States Department of Agriculture.
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