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Theoretical and Applied Genetics

, Volume 46, Issue 1, pp 55–61 | Cite as

Multi-stage index selection

  • E. P. Cunningham
Article

Summary

Selection index theory is extended to cover the case of selection in several stages. General algebra is given for adjusting in later stages for the effects of selection in earlier stages. In addition a method is developed for the incorporation of an index into an index. This simplifies the reuse of data from earlier stages of selection. A numerical example is used to illustrate the methods and to compare three single-stage and three two-stage selection procedures.

Keywords

Prior Selection Aggregate Genotype 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature

  1. Cochran, W.G.: Improvement by means of selection. Proc. 2nd Berkeley Symp. on Math., Stat. and Probability, ed. Neyman, J. 449–470 (1951)Google Scholar
  2. Cohen, J.A.C.: Estimating the mean and variance of normal populations from singly truncated and doubly truncated samples. Annals Math. Stat. 21, 557–569 (1950)CrossRefGoogle Scholar
  3. Dickerson, G.E.; Hazel, L.N.: Effectiveness of selection on progeny performance as a supplement to earlier culling in livestock. J. Agric. Res. 69, 459–475 (1944)Google Scholar
  4. Finney, D.J.: The consequences of selection for a variate subject to errors of measurement. Rev. Inst. Intern. Statistique 24, 1–10 (1956)CrossRefGoogle Scholar
  5. Harris, D.L.: Expected and precided progress from index selection involving estimates of population parameters. Biometrics 20, 46–72 (1964)CrossRefGoogle Scholar
  6. Hazel, L.N.: The genetic basis for constructing selection indexes. Genetics 28, 476–490 (1943)PubMedPubMedCentralGoogle Scholar
  7. Heidhues, T.H.; Henderson, C.R.: Beitrag zum Pro-Problem des Basisindex. Z.f. Tierez. 77, 291–311 (1962)Google Scholar
  8. Heidhues, T.H.; Henderson, C.R.: Selection index and expected genetic advance. In: Statistical genetics and plant breeding, ed. Hanson, W.D. and Robinson, H.F. Natl. Acad. Sci. Nat Res. Council Publ. 982 111–163 (1963)Google Scholar
  9. Jain, J.P.; Amble, V.N.: Improvement through selection at successive stages. J.Ind. Soc. Agr. Stat. 8, 88–109 (1962)Google Scholar
  10. Robson, D.S.: Note on repeated selection in the normal case. Report No. BU-171-M. Cornwall University (1964)Google Scholar
  11. Wang, Y. Ying: Selection problems under multivariate normal distribution. Biometrics 28, 223–233 (1972)CrossRefPubMedGoogle Scholar
  12. Young, J.C.: The moments of a distribution after repeated selection with error. J. Am. Stat. Assoc. 6, 206–210 (1972)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • E. P. Cunningham
    • 1
  1. 1.Animal Breeding & Genetics DepartmentThe Agricultural InstituteDunsinea, Castleknock, Co. DublinIreland

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