Charles Roy Henderson

Charles Roy Henderson ((1911-04-01)April 1, 1911 – (1989-03-14)March 14, 1989) was an American statistician and a pioneer in animal breeding — the application of quantitative methods for the genetic evaluation of domestic livestock. This is critically important because it allows farmers and geneticists to predict whether a crop or animal will have a desired trait, and to what extent the trait will be expressed. He developed mixed model equations to obtain best linear unbiased predictions of breeding values and, in general, any random effect. He invented three methods for the estimation of variance components in unbalanced settings of mixed models, and invented a method for constructing the inverse of Wright's numerator relationship matrix based on a simple list of pedigree information. He, with his Ph.D. student Shayle R. Searle, greatly extended the use of matrix notation in statistics. His methods are widely used by the domestic livestock industry throughout the world and are a cornerstone of linear model theory.

Charles Roy Henderson
Born(1911-04-01)April 1, 1911
Coin, Iowa, US
DiedMarch 14, 1989(1989-03-14) (aged 77)
Urbana, Illinois, US
NationalityAmerican
Alma materIowa State University
Known for
AwardsElected to the United States National Academy of Sciences
Scientific career
Fields
Institutions
Doctoral advisor
Doctoral studentsShayle R. Searle

Henderson obtained his B.Sc., M.Sc.(nutrition) and Ph.D.(breeding) degrees at Iowa State University, where he was a student of Professor L. N. Hazel. Henderson joined the faculty of the Department of Animal Science at Cornell University in 1948, and headed the Animal Breeding division for nearly 30 years until he retired in 1976. After retiring from Cornell, he was a visiting professor at the University of Guelph and University of Illinois until his death. He completed his book in 1984 at the University of Guelph.

Honors and awards

Selected bibliography
1990s
  • Henderson, CR (1990). "Accounting for Selection and Mating Biases in Genetic Evaluation". In Gianola, Daniel; Hammond, Keith (eds.). Advances in Statistical Methods for Genetic Improvement of Livestock. Springer-Verlag Inc. pp. 413–436. ISBN 978-3-540-50809-0.
  • Henderson, CR (1990). "Statistical Methods in Animal Improvement: Historical Overview". In Gianola, Daniel; Hammond, Keith (eds.). Advances in Statistical Methods for Genetic Improvement of Livestock. Springer-Verlag Inc. pp. 2–14. ISBN 978-3-540-50809-0.
1980s
1970s
  • Henderson, C. R.; Henderson, C. R. (1979). "Analysis of covariance in mixed models with unequal subclass numbers". Communications in Statistics - Theory and Methods. 8 (8): 751. doi:10.1080/03610927908827798.
  • Henderson, CR (February 1978). "Simulation to examine distributions of estimators of variances and ratios of variances". Journal of Dairy Science: 267–273.
  • Henderson, C. R. (1978). "Variance-Covariance Matrix of Estimators of Variances in Unweighted Means ANOVA". Biometrics. 34 (3): 462–468. doi:10.2307/2530609. JSTOR 2530609.
  • Henderson, CR; McAllister, AJ (April 1978). "The missing subclass problem in two way fixed models". Journal of Animal Science: 1125–1137.
  • Henderson, CR (May 1977). "Best linear unbiased prediction of breeding values not in the model for records". Journal of Dairy Science: 783–787.
  • Henderson, C. R. (1977). "Prediction of the merits of single crosses". Theoretical and Applied Genetics. 49 (6): 273–282. doi:10.1007/BF00275133. PMID 24407416.
  • Henderson, C. R. (1976). "A Simple Method for Computing the Inverse of a Numerator Relationship Matrix Used in Prediction of Breeding Values". Biometrics. 32 (1): 69–83. doi:10.2307/2529339. JSTOR 2529339.
  • Henderson, CR (September 1976). "Inverse of a matrix of relationships due to sires and maternal grandsires in an inbred population". Journal of Dairy Science: 1585–1588.
  • Henderson, CR (April 1976). "Multiple trait sire evaluation using the relationship matrix". Journal of Dairy Science: 769–774.
  • Henderson, CR; Quaas, RL (December 1976). "Multiple trait evaluation using relatives' records". Journal of Animal Science: 1188–1197.
  • Henderson, C. R. (1975). "Rapid Method for Computing the Inverse of a Relationship Matrix". Journal of Dairy Science. 58 (11): 1727–1730. doi:10.3168/jds.S0022-0302(75)84776-X.
  • Henderson, C. R. (1975). "Best Linear Unbiased Estimation and Prediction under a Selection Model". Biometrics. 31 (2): 423–447. doi:10.2307/2529430. JSTOR 2529430. PMID 1174616.
  • Henderson, CR (September 1975). "Comparison of alternative sire evaluation methods". Journal of Animal Science: 760–770.
  • Henderson, CR (December 1975). "Inverse of a matrix of relationships due to sires and maternal grandsires". Journal of Dairy Science: 1917–1921.
  • Henderson, CR (November 1975). "Rapid method for computing the inverse of a relationship matrix". Journal of Dairy Science: 1727–1730.
  • Henderson, CR (December 1975). "Use of all relatives in intraherd prediction of breeding values and producing abilities". Journal of Dairy Science: 1910–1916.
  • Henderson, CR (November 1975). "Use of relationships among sires to increase accuracy of sire evaluation". Journal of Dairy Science: 1731–1738.
  • Henderson, C. R.; Searle, S. R.; Schaeffer, L. R. (1974). "The Invariance and Calculation of Method 2 for Estimating Variance Components". Biometrics. 30 (4): 583–588. doi:10.2307/2529223. JSTOR 2529223.
1960s
1950s
  • Henderson, C. R.; Kempthorne, O.; Searle, S. R.; Von Krosigk, C. M. (1959). "The Estimation of Environmental and Genetic Trends from Records Subject to Culling". Biometrics. 15 (2): 192–218. doi:10.2307/2527669. JSTOR 2527669.
  • Henderson, C. R. (1953). "Estimation of Variance and Covariance Components". Biometrics. 9 (2): 226–252. doi:10.2307/3001853. JSTOR 3001853.

References

Footnotes
  1. Lanoy Nelson Hazel 1911-1992 Archived May 5, 2014, at the Wayback Machine
  2. List of people honored with the Herman-von-Nathusius-Medaille
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