Planning incomplete block experiments when treatments are genetically related

Biometrics

Volumn 59, Issue 2, 2003, Pages 375-381

  Bueno Filho, Júlio S de S ^a   Gilmour, Steven G ^b  

^a Universidade Federal de Lavras Campus Universitário   (Brazil)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Breeding; Design of experiments; Family structure; Mixed models; Optimal design

Indexed keywords

OPTIMAL SYSTEMS; RANDOM PROCESSES; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION;

BLOCK DESIGNS; BREEDING; COVARIANCE STRUCTURES; FAMILY STRUCTURE; LINEAR MODELING; MIXED MODELING; OPTIMAL DESIGN; OPTIMALITY; OPTIMALITY CRITERIA; RANDOM EFFECT PARAMETERS;

DESIGN OF EXPERIMENTS;

BREEDING; EXPERIMENTAL DESIGN; GENETIC STRUCTURE; MODELING;

ARTICLE; BREEDING; EXPERIMENTAL DESIGN; GENETIC CORRELATION; GENETIC SELECTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONHUMAN; POPULATION STRUCTURE; STATISTICAL MODEL;

ANIMALIA;

EID: 0038545795     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/1541-0420.00044     Document Type: Article

References (21)

1. Bernardo, R. (1994). Prediction of maize single-cross performance using RFLP's and information from related hybrids. Crop Science 34, 20-25.
2. Chai, F. S. and Mukerjee, R. (1999). Optimal designs for diallel crosses with specific combining abilities. Biometrika 86, 453-458.
3. Chaloner, K. and Verdinelli, I. (1996). Bayesian experimental design: A review. Statistical Science 10, 270-304.
4. Fisher, R. A. (1918). The correlation between relatives on the supposition of mendelian inheritance. Transactions of the Royal Society of Edinburgh 52, 399-433.
5. Gianola, D. and Fernando, R. L. (1986). Bayesian methods in animal breeding theory. Journal of Animal Science 63, 217-244.
6. Harville, D. A. (1974). Bayesian inference for variance components using only error contrasts. Biometrika 61, 383-385.
7. Harville, D. A. (1997). Matrix Algebra from a Statistician's Perspective. New York: Springer.
8. Henderson, C. R. (1963). Selection index and expected genetic advance. In Statistical Genetics and Plant Breeding, W. D. Hansen and H. F. Robinson (eds). Washington, D.C.: National Academy of Sciences and National Research Council.
9. Henderson, C. R. (1975). Best linear unbiased estimation and prediction under a selection model. Biometrics 31, 423-449.
10. Henderson, C. R. (1976). A simple method for computing the inverse of a numerator relationship matrix used in prediction of breeding values. Biometrics 32, 69-83.
11. Henderson, C. R., Kempthorne, O., Searle, S. R., and von Krosig, C. M. (1959). The estimation of environmental and genetic trends from records subject to culling. Biometrics 15, 192-218.
12. John, P. W. M. (1971). Statistical Design and Analysis of Experiments. New York: Macmillan.
13. Kempthorne, O. (1966). An Introduction to Genetic Statistics. New York: Wiley.
14. Lindley, D. V. and Smith, A. F. M. (1972). Bayes estimates for the linear model. Journal of the Royal Statistical Society, Series B 34, 1-41.
15. Lynch, M. and Ritland, K. (1999). Estimation of pairwise relatedness with molecular markers. Genetics 152, 1753-1766.
16. Nejati-Javaremi, A., Smith, C., and Gibson, J. P. (1997). Effect of total allelic relationship on accuracy of evaluation and response to selection. Journal of Animal Science 75, 1738-1745.
17. Patterson, H. D. and Thompson, R. (1971). Recovery of inter-block information when block sizes are unequal. Biometrika 58, 545-554.
18. Robinson, G. K. (1991). That BLUP is a good thing: The estimation of random effects. Statistical Science 6, 15-51.
19. Searle, S. R., Casella, G., and McCulloch, C. E. (1992). Variance Components. New York: Wiley.
20. Sölkner, J. (1993). Choice of optimality criteria for the design of crossbreeding experiments. Journal of Animal Science 71, 2867-2873.
21. Tiao, G. C. and Afonja, B. (1976). Some Bayesian considerations of the choice of design for ranking, selection, and estimation. Annals of the Institute of Statistical Mathematics. 28, 167-186.