Biography:Richard Loree Anderson

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Richard L. Anderson
Born(1915-04-20)April 20, 1915
North Liberty, Indiana, US
DiedFebruary 19, 2003(2003-02-19) (aged 88)
Lexington, Kentucky, US
Alma materIowa State College
DePauw University
Scientific career
FieldsEconometrics
InstitutionsUniversity of Kentucky
North Carolina State University
Doctoral advisorGerhard Tintner
Doctoral studentsGeoffrey Watson

Richard Loree Anderson (April 20, 1915 – February 19, 2003) was an American econometrician. He was a Professor of Statistics at North Carolina State University from 1941 to 1966. In 1967, he took up chairmanship of the newly established Department of Statistics at the University of Kentucky, a position he held until 1979.[1] In 1951 he was elected as a Fellow of the American Statistical Association.[2] While a professor at the University of Kentucky, he consulted with a number of drug companies on clinical trials. Even before, he had been consulting several computer programming companies including IMSL, BMDP, and SAS.[3]

Anderson was good friends with William Gemmell Cochran before the latter died in 1980.[4] The two had first met at Iowa State University in 1938.[4]

Research

In 1942, Anderson found the probability density function of the serial correlation coefficient RN:=X1XL+1+X2XL+2+⋯+XNXL−(∑iXi)2/N∑iXi2−(∑iXi)2/N when the variables Xi are independent and identically distributed and follow the normal distribution.[5] Anderson recalled that he preliminarily calculated this based on characteristic functions and presented it in the winter of 1940, but he thought it would be intractable for N > 9.[4] The next day, he received a note from Cochran asking him to try out Cochran's theorem, which turned out to be the answer.[4]

In 1962, Anderson, W. T. Wells, and John W. Cell calculated the probability density function for the product of two noncentral chi-squared variables using the Mellin transform.[6]

In 1980, Anderson, Walter W. Stroup, and James W. Evans devised an algorithm to compute maximum likelihood estimates for the completely random balanced incomplete block design.[7]

In 1985, Anderson, Sastry G. Pantula, and Larry A. Nelson, proposed an estimator for the covariance matrix for a mixed linear model, where the model describes an experiment conducted over several sites for several years.[8] The model takes the form yijk=∑m=1sxijkmβm+uijk, where i indexes sites, j indexes "blocks" at each site, and k indexes treatments.[8]

In 1996, Anderson, Pao-Sheng Shen, and P. L. Cornelius used simulations to study nested mating designs. They concluded that asymptotic variances severely underestimate the actual variance in the simulation.[9]

Awards and honors

In 1992 Anderson was awarded the American Statistical Association's Founders Award.[10]

References

  1. ↑ Anderson, R. L. (1982). "My Experience as a Statistician: From the Farm to the University". The Making of Statisticians. Springer. pp. 129–148. ISBN 0-387-90684-3. https://books.google.com/books?id=tzHrBwAAQBAJ&pg=PA129. 
  2. ↑ View/Search Fellows of the ASA , accessed 2016-07-23.
  3. ↑ "Richard L. Anderson: 1915–2003". AMS. https://www.amstat.org/about/statisticiansinhistory/index.cfm?fuseaction=biosinfo&BioID=19. 
  4. ↑ 4.0 4.1 4.2 4.3 Anderson, R. L. (1980). "William Gemmell Cochran 1909-1980: A Personal Tribute". Biometrics 36 (4): 574–578. ISSN 0006-341X. PMID 7018604. https://www.jstor.org/stable/2556111?seq=2. 
  5. ↑ Anderson, R. L. (March 1942). "Distribution of the Serial Correlation Coefficient" (in en). The Annals of Mathematical Statistics 13 (1): 1–13. doi:10.1214/aoms/1177731638. ISSN 0003-4851. http://projecteuclid.org/euclid.aoms/1177731638. 
  6. ↑ Wells, W. T.; Anderson, R. L.; Cell, John W. (September 1962). "The Distribution of the Product of Two Central or Non-Central Chi-Square Variates" (in en). The Annals of Mathematical Statistics 33 (3): 1016–1020. doi:10.1214/aoms/1177704469. ISSN 0003-4851. http://projecteuclid.org/euclid.aoms/1177704469. 
  7. ↑ Walter, W. Stroup; Evans, James W.; Anderson, R. L. (1980). "Maximum likelihood estimation of variance components in a completely random bib design" (in en). Communications in Statistics - Theory and Methods 9 (7): 725–756. doi:10.1080/03610928008827916. ISSN 0361-0926. http://www.tandfonline.com/doi/abs/10.1080/03610928008827916. 
  8. ↑ 8.0 8.1 Pantula, Sastry G.; Nelson, Larry A.; Anderson, Richard L. (1985). "Estimation of linear models for field experiments" (in en). Communications in Statistics - Theory and Methods 14 (9): 2199–2217. doi:10.1080/03610928508829038. ISSN 0361-0926. https://www.tandfonline.com/doi/abs/10.1080/03610928508829038. 
  9. ↑ Shen, Pao-Sheng; Cornelius, P. L.; Anderson, R. L. (1996). "Planned Unbalanced Designs for Estimation of Quantitative Genetic Parameters II: Nested Matings". Journal of Agricultural, Biological, and Environmental Statistics 1 (4): 490–505. doi:10.2307/1400441. ISSN 1085-7117. https://www.jstor.org/stable/1400441. 
  10. ↑ "Founders Award". American Statistical Association. https://www.amstat.org/your-career/awards/founders-award. 

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