Oscar Kempthorne

Oscar Kempthorne
Born	January 31, 1911(1911-01-31) St. Tudy, Cornwall
Died	November 15, 2000(2000-11-15) (aged 89)
Residence	Ames, Iowa, United States
Fields	Statistics Genetics Philosophy of science
Institutions	Rothamsted Experimental Station Iowa State University
Alma mater	Clare College at Cambridge University
Academic advisors	Joseph Oscar Irwin
Doctoral students	Sidney Addelman Virgil Anderson John Leroy Folks Franklin Graybill Charles Roy Henderson Klaus Heinrich Hinkelmann Thomas Neil Throckmorton Robert White Martin Wilk George Zyskind
Other notable students	Walter Federer
Known for	Randomization analysis of randomized experiments "Iowa school" of analysis of variance Design of experiments Genetics
Influences	Ronald A. Fisher Frank Yates Debabrata Basu
Influenced	Debabrata Basu Luis A. Escobar
Notable awards	President of the International Biometric Society 1961 President of the Institute of Mathematical Statistics 1984-5 Fellow of the American Statistical Association Fellow of the AAAS Honorary Fellow of the Royal Statistical Society

Oscar Kempthorne (1911–2000) was a statistician and geneticist known for his research on randomization-analysis and the design of experiments, which had wide influence on research in agriculture, genetics, and other areas of science. Born in St Tudy, Cornwall and educated in England, Kempthorne moved to the United States, where he was for many decades a professor at Iowa State University.

Randomization analysis

Main article: randomization test

See also: permutation test

Kempthorne developed a randomization-based approach to the statistical analysis of randomized experiments, which was expounded in pioneering textbooks and articles. Kempthorne's insistence on randomization followed the early writings of Ronald A. Fisher, particularly Fisher's youthful writings on randomized experiments.^[1]

Kempthorne is the founder of the "Iowa school" of experimental design and analysis of variance.^[2] Kempthorne and many of his former doctoral students have often emphasized the use of the randomization distribution under the null hypothesis. Kempthorne was skeptical of "statistical models" (of populations), when such models are proposed by statisticians rather than created using objective randomization procedures.

Kempthorne's randomization-analysis has influenced the causal model of Donald Rubin; in turn, Rubin's randomization-based analysis and his work with Rosenbaum on propensity scores influenced Kempthorne's analysis of covariance.^[3]

Model-based analysis

Oscar Kempthorne was skeptical towards (and often critical of) model-based inference, particularly two influential alternatives: Kempthorne was skeptical of, first, neo-Fisherian statistics, which is inspired by the later writings of Ronald A. Fisher and by the contemporary writings of David R. Cox and John Nelder; neo-Fisherian statistics emphasizes likelihood functions of parameters.^[4]

Second, Kempthorne was skeptical of Bayesian statistics, which use not only likelihoods but also probability distributions on parameters.^[5] Nonetheless, while subjective probability and Bayesian inference were viewed skeptically by Kempthorne, Bayesian experimental design was defended. In the preface to his second volume with Hinklemann (2004), Kempthorne wrote,

We strongly believe that design of experiment is a Bayesian experimentation process, . . . one in which the experimenter approaches the experiment with some beliefs, to which he accommodates the design. (xxii)

Appointments

Kempthorne served as professor of statistics at Iowa State University.

Bibliography

• Kempthorne, Oscar (1979). The Design and Analysis of Experiments (Corrected reprint of (1952) Wiley ed.). Robert E. Krieger. ISBN 0-88275-105-0. MR45368. 
• Hinkelmann, Klaus; Kempthorne, Oscar (2008). Design and Analysis of Experiments. I , II (Second ed.). Wiley. ISBN 978-0-470-38551-7. MR2363107. http://eu.wiley.com/WileyCDA/WileyTitle/productCd-0470385510.html. 
  • Hinkelmann, Klaus; Kempthorne, Oscar (2008). Design and Analysis of Experiments, Volume I: Introduction to Experimental Design (2nd ed.). Wiley. ISBN 978-0-471-72756-9. MR2363107. http://books.google.com/?id=T3wWj2kVYZgC&printsec=frontcover. 
  • Hinkelmann, Klaus; Kempthorne, Oscar (2005). Design and Analysis of Experiments, Volume 2: Advanced Experimental Design (First ed.). Wiley. ISBN 978-0-471-55177-5. MR2129060. http://books.google.com/books?id=GiYc5nRVKf8C. 
• Kempthorne, Oscar. "Intervention experiments, randomization and inference". In Malay Ghosh and Pramod K. Pathak. Current Issues in Statistical Inference—Essays in Honor of D. Basu. Hayward, CA: Institute for Mathematical Statistics. pp. 13–31. doi:10.1214/lnms/1215458836. MR1194407. 
• Kempthorne, Oscar (1957). An introduction to genetic statistics. New York: John Wiley and Sons, Inc.. pp. xvii+545 pp.. MR89119. 
• Kempthorne, Oscar; Folks, Leroy (1971). Probability, statistics, and data analysis. Ames, Iowa: The Iowa State University Press. pp. xvii+555 pp.. ISBN 0813812852. MR321213. 

Writings about Oscar Kempthorne

• Klaus Hinkelmann, ed (1984). Experimental design, statistical models, and genetic statistics: Essays in honor of Oscar Kempthorne. Statistics: Textbooks and Monographs. 50. New York: Marcel Dekker, Inc.. pp. x+409 pp. ISBN 0-8247-7151-6. MR787258. 
  • Bancroft, T. A. (1984). "The years 1950-1972". In Klaus Hinkelmann. Experimental design, statistical models, and genetic statistics: Essays in honor of Oscar Kempthorne. Statistics: Textbooks and Monographs. 50. New York: Marcel Dekker, Inc.. pp. 3–7. ISBN 0-8247-7151-6. MR787259. 
  • David, H. A.. "The years 1972-1984". pp. 9–13. MR787260. 
• Folks, J. Leroy (1995). "A Conversation with Oscar Kempthorne". Statistical Science 10 (4): 321–336. doi:10.1214/ss/1177009867. JSTOR 2246132. 
• Hinkelmann, Klaus (2001). "Remembering Oscar Kempthorne (1919–2000)". Statistical Science 16 (2): 169–183. doi:10.1214/ss/1009213289. MR1861071. 
• Hinkelmann, Klaus. "Oscar Kempthorne 1919–2000". Statisticians in History. http://www.amstat.org/about/statisticiansinhistory/index.cfm?fuseaction=biosinfo&BioID=8. 

Notes

1. ^ Randomization-based inference and randomized experiments were introduced by Charles S. Peirce, whose writings were recognized by Kempthorne (in later years). Kempthorne praised Peirce repeatedly in Hinkelmann and Kempthorne (2008), for example as being "the foremost philosopher of science" (page 8 in the first edition, 1994). Answering the question "What do you see as the important problems of statistics?", Kempthorne replied finally, "I feel that much of philosophy needs to be read—particularly the writings of the great American philosopher, C. S. Peirce." (Folks, p. 336)
2. ^ The "Iowa school" is named on page 262 in Bailey and Speed:
   • T. P. Speed and R. A. Bailey (December 1987). "Factorial Dispersion Models". International Statistical Review / Revue Internationale de Statistique 55 (3): 261–277. doi:10.2307/1403405. JSTOR 1403405. 
3. ^ See Chapter 8 in Hinkelmann and Kempthorne 2008.
4. ^ Kempthorne often distinguished between the randomization-based analysis of early Fisher and the model-based analysis of (post-Neyman) Fisher, for example in Kempthorne's comments on Debabrata Basu's paper "The Fisher randomization test" in the Journal of the American Statistical Association (1978).
5. ^ However, Kempthorne recognized that the planning of experiments used scientific knowledge and beliefs, and therefore Kempthorne was interested in optimal designs, especially Bayesian experimental design:

   The optimal design is dependent upon the unknown theta, and there is no choice but to invoke prior information about theta in choosing the design. I would like to say there has never been the slightest argument about this. In the design of experiments, one has to use some informal prior knowledge. (Folks, 334)

   Kempthorne's skepticism towards Bayesian inference focused on the prior's use in analyzing data from randomized experiments; for analyzing data from randomized experiments, Kempthorne advocated using the objective randomization-distribution, which was induced by the randomization specified in the experimental protoocol and implemented in the actual experimental plan.

See also

Analysis of variance Bayesian experimental design Biostatistics ("Biometry" or "Biometrics") Design of experiments

Genetics Optimal design Philosophy of science Philosophy of statistics

Random assignment Randomization Randomized block design Randomized clinical trial

External links

Oscar Kempthorne at the Mathematics Genealogy Project.

Persondata
Name	Kempthorne, Oscar
Alternative names
Short description
Date of birth	1911-1-31
Place of birth	St. Tudy, Cornwall
Date of death	2000-11-15
Place of death