Advertisement

Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Asymptotically efficient partial diallel crosses

  • 33 Accesses

  • 1 Citations

Summary

The asymptotic efficiency of partial diallel crosses is defined, and circulant plans having such a property are identified. In the absence of an optimal plan to suit his requirements, the breeder should opt for suggested plans to derive maximum information for given resources.

This is a preview of subscription content, log in to check access.

References

  1. Anand IJ, Murty BR (1969) Serial analysis of combinating ability in diallel and fractional diallel crosses in linseed. Theor Appl Genet 39:88–94

  2. Arya AS (1983) Circulant plants for partial diallel crosses. Biometrics 39:43–52

  3. Arya AS (1989) On equivalence and enumeration of circulant partial diallel crosses. Sankhyā Ser B 51:184–195

  4. Arya AS, Narain P (1977) Partial diallel crosses based on some association schemes with three and four associate classes. Sankhyā Ser B 39:394–399

  5. Bray RA (1971) Quantitative evaluation of the circulant partial diallel cross. Heredity 27:189–204

  6. Curnow RN (1963) Sampling the diallel cross. Biometrics 19:287–306

  7. Fyfe JL, Gilbert NEG (1963) Partial diallel crosses. Biometrics 19:278–286

  8. Hinkelmann K, Kempthorne O (1963) Two classes of group divisible partial diallel crosses. Biometrika 50:281–291

  9. Kearsey MJ (1965) Biometrical analysis of a random mating population: A comparison of five experimental designs. Heredity 20:205–235

  10. Kempthorne O, Curnow RN (1961) The partial diallel crosses. Biometrics 17:229–250

  11. Levings CS III, Dudley JW (1963) Evaluation of certain mating designs for estimation of genetic variance in autotetraploid alfalfa. Crop Sci 3:532–535

  12. Mathur SN, Narain P (1976) Some optimal plans for partial diallel crosses. Ind J Genet 36:301–308

  13. Murty BR, Arunachalam V, Anand IJ (1967) Diallel and partial diallel analysis of some yield factors in Linum usitatissimum. Heredity 22:35–41

  14. Narain P, Arya AS (1981) Truncated triangular association scheme and related partial diallel crosses. Sankhyā Ser B 43:93–103

Download references

Author information

Additional information

Communicated by B. R. Murty

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Arya, A.S., Narain, P. Asymptotically efficient partial diallel crosses. Theoret. Appl. Genetics 79, 849–852 (1990). https://doi.org/10.1007/BF00224255

Download citation

Key words

  • Partial diallel cross
  • Circulant plan
  • Combining ability
  • Optimal and asymptotically efficient plans