Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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Robustness of Complete Diallel cross designs with a Single Missing Observation

  • Kwon, Yong-Man (Department of computer science and statistics, Chosun University) ;
  • Lee, Jang-Jae (Department of computer science and statistics, Chosun University)
  • Received : 2012.06.03
  • Accepted : 2012.06.24
  • Published : 2012.06.30
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Abstract

The reduction of efficiency of missing observations on complete diallel cross designs are examined. we studies robustness of optimal block designs for estimating general combining ability against loss of missing observations in diallel cross. A-efficiencies suggest that these designs are fairly robust. Simple g-inverses may be found for the information matrices of the line effects which allow evaluation of expressions for the variances of the differences between the pairs of line effects with missing observations. we numerically calculate the reduction of efficiency for estimating general combining ability against loss of missing observations in diallel cross.

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References

  1. B. Griffing, "A generalized treatment of the use of diallel crosses in quantitative inheritance", Heredity, Vol. 10, pp. 31-50, 1956. https://doi.org/10.1038/hdy.1956.2
  2. S. Gupta and S. Kageyama, "Optimal complete diallel crosses", Biometrika, Vol. 81, No. 2, pp. 420- 424, 1994. https://doi.org/10.1093/biomet/81.2.420
  3. D.A. Preece, "Nested balanced incomplete block designs", Biometrika, Vol. 54, pp. 479-486, 1967. https://doi.org/10.1093/biomet/54.3-4.479
  4. B.M. Most, and B.M., "Resistance of balanced incomplete block designs", Ann. Statist, Vol. 3, No. 5, pp. 1149-1162, 1975. https://doi.org/10.1214/aos/1176343246
  5. P.W.M. John, "Robustness of balanced incomplete block design", Ann. Statist, Vol. 4, No. 5, pp. 960- 962, 1976. https://doi.org/10.1214/aos/1176343593
  6. A. Das, and S. Kageyama, "Robustness of BIB and extended BIB designs against the unavailability of any number of observations in a block", Comput. Statist. Data Anal, Vol. 14, No. 3, pp. 343-358, 1992. https://doi.org/10.1016/0167-9473(92)90044-G
  7. R.A. Mansson and P. Prescott, "Missing observations in Youden square designs", Comput. Statist. Data Anal, Vol. 40, pp. 329-338, 2002. https://doi.org/10.1016/S0167-9473(02)00009-9
  8. M. Singh and K. Hinkelmann, "On generation of efficient partial diallel crosses plans", Biometrika, Vol. 32, pp. 177-187, 1990.