Abstract
This review is restricted primarily to some history of the development of methods for evaluation of animals. It deals with linear models with emphasis on missing subclass problems. Some topics covered are selection index and its pioneers including Wright and Lush; analysis of variance particularly as related to variance estimation and maximum likelihood, both due to Fisher; formalized selection index of Smith and Hazel; unequal numbers analysis due greatly to Fisher, Yates and Iowa State University.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Anderson RD (1979) On the history of variance component estimation. In: Van Vleck LD, Searle SR (eds) Variance components and animal breeding. Cornell Univ, Ithaca, New York, pp 19–42
Brandt AE (1933) The analysis of variance in a 2xs table with disproportionate frequencies. J Am Stat Assoc 28:164–173
Buhner MG (1980) The mathematical theory of quantitative genetics. Clarendon Press, Oxford
Cochran WG (1951) Improvement by means of selection. In: Neyman J (ed) Proc Second Berkeley Symp Math Stat and Prob, pp 449–470
Cockerham CC (1954) An extension of the concept of partitioning hereditary variance for analysis of covariances among relatives when epistasis is present. Genetics 39:859– 882
Crump SL (1947) The estimation of components of variance in multiple classifications. PhD Thesis, Iowa State Univ
Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc B 39:1–38
Fernando RL, Gianola D (1986) Optimal properties of the conditional mean as a selection criterion. Theor Appl Genet 72:822–825
Fisher RA (1922) On the mathematical foundations of theoretical statistics. Phil Trans R Soc Lond Ser A 222:309–368
Fisher RA (1925) Statistical methods for research workers. Oliver and Boyd, London
Gianola D, Foulley JL, Fernando RL (1986) Prediction of breeding values when variances are not known. In: Dickerson GE, Johnson RD (eds) Proc 3rd World Congr Genet Appl Livest Prod. Agric Commun, Univ Nebraska, Lincoln, Nebraska XII:356–370
Goffinet B (1983) Selection on selected records. Genet Sel Evol 15:91–97
Goldberger AS (1962) Best linear unbiased prediction in the generalized linear regression model. J Am Stat Assoc 57:369–375
Hartley HO, Rao JNK (1967) Maximum likelihood estimation for the mixed analysis of variance model. Biometrika 54:93–108
Hazel LN (1943) The genetic basis for constructing selection indexes. Genetics 28:476–490
Hazel LN, Terril CE (1945) Effects of some environmental factors on weanling traits of range Rambouillet lambs. J Anim Sci 4:331–341
Henderson CR (1949) Estimates of changes in herd environment. J Dairy Sci (Abstr) 32:706
Henderson CR (1950) Estimation of genetic parameters. Ann Math Stat (Abstr) 21:309
Henderson CR (1953) Estimation of variance and covariance components. Biometrics 9:226– 252
Henderson CR (1963) Selection index and expected genetic advance. In: Statistical genetics and plant breeding. Nat Acad Sci — Nat Res Counc Publ No 982, Washington DC, pp 141–163
Henderson CR (1973) Sire evaluation and genetic trends. In: Proc Anim Breed Genet Symp in Honor of Dr. J.L. Lush. ASAS and ADSA, Champaign, Illinois, pp 10–41
Henderson CR (1975) Best linear unbiased estimation and prediction under a selection model. Biometrics 31:423–447
Henderson CR (1976) A simple method for computing the inverse of a numerator relationship matrix used in prediction of breeding values. Biometrics 32:69–83
Henderson CR (1985) MIVQUE and REML estimation of additive and nonadditive genetic variances. J Anim Sci 61:113–121
Henderson CR, Kempthorne O, Searle SR, von Krosigk CM (1959) The estimation of environmental and genetic trends from records subject to culling. Biometrics 15:192– 218
Herr DG (1986) On the history of ANOVA in unbalanced, factorial designs: the first 30 years. Am Stat 40:265–270
Lush JL (1931) The number of daughters necessary to prove a sire. J Dairy Sci 14:209–220
Lush JL (1933) The bull index problem in the light of modern genetics. J Dairy Sci 16:501– 522
Lush JL (1948) The genetics of populations. Animal breeding graduate students, Iowa State Univ, Ames, Iowa Mimeo, p 381
Patterson HD, Thompson R (1971) Recovery of interblock information when block sizes are unequal. Biometrika 58:545–554
Pearson K (1903) Mathematical contributions to the theory of evolution. XI. On the influence of natural selection on the variability of organs. Phil Trans of the R Soc London A 200:1–66
Quaas RL, Pollak EJ (1980) Mixed model methodology for farm and ranch beef cattle testing programs. J Anim Sci 51:1277–1287
Rao CR (1971) Minimum variance quadratic unbiased estimation of variance components. J Multiv Anal 1:445–456
Schaeffer LR, Kennedy BW (1986) Computing solutions to mixed model equations. In: Dickerson GE, Johnson RK (eds) Proc 3rd World Congr Genet Appl Livest Prod. Agric Commun, Univ Nebraska, Lincoln, Nebraska XII:382–393
Smith HF (1936) A discriminant function for plant selection. Ann Eugen 7:240–250
Snedecor GW (1946) Statistical methods. First Edition. Iowa State College Press, Ames
Thompson R (1977) Estimation of quantitative genetic parameters. In: Pollak E, Kempthorne O, Bailey TB (eds) Proc Int Conf Quant Genet. Iowa State Univ Press, Ames, pp 639–657
Wright S (1921a) Correlation and causation. J Agr Res 20:557–585
Wright S (1921b) Systems of mating. Genetics 6:111–178
Wright S (1931) On the evaluation of dairy sires. Proc Am Soc Anim Prod (Abstr) 71
Yates F (1934) The analysis of multiple classifications with unequal numbers in the different subclasses. J Am Stat Assoc 29:51 -66
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Henderson, C.R. (1990). Statistical Methods In Animal Improvement: Historical Overview. In: Gianola, D., Hammond, K. (eds) Advances in Statistical Methods for Genetic Improvement of Livestock. Advanced Series in Agricultural Sciences, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74487-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-74487-7_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-74489-1
Online ISBN: 978-3-642-74487-7
eBook Packages: Springer Book Archive