Charles Roy Henderson

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Charles Roy Henderson
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Born (1911-04-01)April 1, 1911
Coin, Iowa
Died March 14, 1989(1989-03-14) (aged 77)
Urbana, Illinois
Nationality American
Alma mater Iowa State University
Doctoral advisor
Doctoral students Shayle R. Searle
Known for
Notable awards Elected to the United States National Academy of Sciences

Charles Roy Henderson ((1911-04-01)April 1, 1911 – March 14, 1989(1989-03-14)) was an American statistician and a pioneer in animal breeding — the application of quantitative methods for the genetic evaluation of domestic livestock. 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.

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[edit]

Selected bibliography[edit]

  • Henderson, CR (1990). "Accounting for Selection and Mating Biases in Genetic Evaluation". In Gianola, Daniel; Hammond, Keith. Advances in Statistical Methods for Genetic Improvement of Livestock. Springer-Verlag Inc. pp. 413–436. ISBN 3-540-50809-0. 
  • Henderson, CR (1990). "Statistical Methods in Animal Improvement: Historical Overview". In Gianola, Daniel; Hammond, Keith. Advances in Statistical Methods for Genetic Improvement of Livestock. Springer-Verlag Inc. pp. 2–14. ISBN 3-540-50809-0. 
  • Henderson, C. R. (1989). "Prediction of Merits of Potential Matings from Sire-Maternal Grandsire Models with Nonadditive Genetic Effects". Journal of Dairy Science. 72 (10): 2592–2605. doi:10.3168/jds.S0022-0302(89)79400-5. 
  • Henderson, C. R. (1988). "A Simple Method to Account for Selected Base Populations". Journal of Dairy Science. 71 (12): 3399–3404. doi:10.3168/jds.S0022-0302(88)79945-2. 
  • Henderson, C. R. (1988). "Exact Prediction Error Variances for Full Model Computed from Reduced Model". Journal of Dairy Science. 71 (11): 3128–3134. doi:10.3168/jds.S0022-0302(88)79913-0. 
  • Henderson, C. R. (1988). "Simple Method to Compute Biases and Mean Squared Errors of Linear Estimators and Predictors in a Selection Model Assuming Multivariate Normality". Journal of Dairy Science. 71 (11): 3135–3142. doi:10.3168/jds.S0022-0302(88)79914-2. 
  • Henderson, C. R. (1988). "The use of equivalent linear models in mixed model estimation and prediction". Communications in Statistics - Theory and Methods. 17 (4): 969–982. doi:10.1080/03610928808829668. 
  • Henderson, CR (July 1988). "Use of an average numerator relationship matrix for multiple-sire joining". Journal of animal science. 66: 1614–1621. 
  • Henderson, C. R. (1986). "Estimation of Singular Covariance Matrices of Random Effects". Journal of Dairy Science. 69 (9): 2379–2385. doi:10.3168/jds.S0022-0302(86)80677-4. 
  • Henderson, C. R. (1986). "Estimation of Variances in Animal Model and Reduced Animal Model for Single Traits and Single Records". Journal of Dairy Science. 69 (5): 1394–1402. doi:10.3168/jds.S0022-0302(86)80546-X. 
  • Henderson, CR (1986). "Recent Developments in Variance and Covariance Estimation". Journal of Animal Science. 63: 208–216. 
  • Henderson, CR (January 1985). "Best linear unbiased prediction of nonadditive genetic merits in noninbred populations". Journal of animal science. 60: 111–117. 
  • Henderson, C. R. (1985). "Best Linear Unbiased Prediction Using Relationship Matrices Derived from Selected Base Populations". Journal of Dairy Science. 68 (2): 443–448. doi:10.3168/jds.S0022-0302(85)80843-2. 
  • Henderson, C. R. (1985). "Equivalent Linear Models to Reduce Computations". Journal of Dairy Science. 68 (9): 2267–2277. doi:10.3168/jds.S0022-0302(85)81099-7. 
  • Henderson, CR (1985). "MIVQUE and REML Estimation of Additive and Nonadditive Genetic Variances". Journal of Animal Science. 61: 113–121. 
  • Henderson, CR (1984). "ANOVA, MIVQUE, REML, and ML Algorithms for Estimation of Variances and Covariances". In David, H. A.; David, H. T. Statistics: An Appraisal. Iowa State University. pp. 257–280. ISBN 0-8138-1721-8. 
  • Henderson, C. R. (1984). "Estimation of Variances and Covariances under Multiple Trait Models". Journal of Dairy Science. 67 (7): 1581–1589. doi:10.3168/jds.S0022-0302(84)81480-0. 
  • Henderson, CR (1984). Applications of Linear Models in Animal Breeding. Guelph, Ont: University of Guelph. ISBN 0-88955-030-1. 
  • Henderson, CR (1980). "Comparison of Unbiased Estimators and Approximate Tests of Hypothesis in the Unbalanced Mixed Model with Unknown Variances". ASA Proceedings of the Statistical Computing Section. American Statistical Association. pp. 47–51. 
  • 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. JSTOR 2530609. doi:10.2307/2530609. 
  • 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. PMID 24407416. doi:10.1007/BF00275133. 
  • 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. JSTOR 2529339. doi:10.2307/2529339. 
  • 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. JSTOR 2529430. PMID 1174616. doi:10.2307/2529430. 
  • 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. 
  • 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. 
  • Henderson, C. R. (1953). "Estimation of Variance and Covariance Components". Biometrics. 9 (2): 226–252. JSTOR 3001853. doi:10.2307/3001853. 



  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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