Predicting Cultivar Differences Using Covariates

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 3, Issue 2, 1998, Pages 151-162

  Piepho, Hans Peter ^a   Denis, Jean Baptiste ^b   Van Eeuwijk, Fred A ^c  

^a UNIVERSITY OF KASSEL   (Germany)

^b CEMAGREF   (France)

^c WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Covariate selection; Cultivar location interaction; Genotype environment interaction; Mean squared error of prediction; Mixed model

Indexed keywords

EID: 0042341558     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.2307/1400648     Document Type: Article

References (24)

1. Allen, D. M. (1971), "Mean Square Error of Prediction as a Criterion for Selection Variables," Technometrics, 13, 469-475.
2. Aitkin, M. A. (1974), "Simultaneous Inference and the Choice of Variable Subsets," Technometrics, 16, 221-227.
3. Denis, J. B., Piepho, H. P., and Eeuwijk, F. A. (1997), "Modelling Expectation and Variance for Genotype by Environment Interaction," Heredity, 79, 162-171.
4. Freeman, G. H., and Perkins, J. M. (1971), "Environmental and Genotype-Environmental Components of Variability. VIII. Relations Between Genotypes Grown in Different Environments and Measures of These Environments," Heredity, 27, 15-23.
5. Galpin, J. S., and Hawkins, D. M. (1986), "Selecting a Subset of Regression Variables So as to Maximize the Prediction Accuracy at a Specified Point," Journal of Applied Statistics, 13, 187-198.
6. Hardwick, R. C., and Wood, J. T. (1972), "Regression Methods for Studying Genotype-Environment Interactions," Heredity, 28, 209-222.
7. Harville, D. A., and Jeske, D. R. (1992), "Mean Squared Error of Estimation or Prediction Under a General Linear Model," Journal of the American Statistical Association, 87, 724-731.
8. Hébel, P., Faivre, R., Goffinet, B., and Wallach, D. (1993), "Shrinkage Estimators Applied to Prediction of French Winter Wheat Yield," Biometrics, 49, 281-293.
9. Hocking, R. R. (1976), "The Analysis and Selection of Variables in Linear Regression," Biometrics, 32, 1-10.
10. Kundler, P., Lieberoth, I., and Schmidt, R. (1978), "Gliederung der Landwirtschaftlich genutzten Standorte nach Eignungsgebieten, Standortgruppen und Bodengruppen," Feldwirtschaft, 1, 38-41.
11. Krzanowski, W. J. (1988), Principles of Multivariate Analysis, Oxford: Clarendon Press.
12. Lauritzen, S. L., and Wermuth, N. (1989), "Graphical Models for Association Between Variables, Some of Which are Qualitative and Some Quantitative," Annals of Statistics, 17, 31-57.
13. Miller, A. J. (1990), Subset Selection in Regression, London: Chapman and Hall.
14. Narula, S. C. (1974), "Predictive Mean Square Error and Stochastic Regressor Variables," Applied Statistics, 23, 11-16.
15. Olkin, I., and Tate, R. F. (1961), "Multivariale Correlation Models With Mixed Discrete and Continuous Variables," Annals of Mathematical Statistics, 32, 448-465 (Corr. 63, 343-344).
16. Rao, C. R. (1972), "Estimation of Variance and Covariance Components in Linear Models," Journal of the American Statistical Association, 67, 112-115.
17. Rao, C. R. (1973), Linear Statistical Inference and Its Applications, New York: North-Holland.
18. Rao, C. R., and Kleffe, J. (1988), Estimation of Variance Components and Applications, New York: North-Holland.
19. SAS Institute Inc. (1997), SAS/STAT: Changes and Enhancements Through Release 6. 12, Cary, NC: Author.
20. Schachtschabel, P., Blume, H. P., Hartge, K. H., and Schwertmann, U. (1976), "Lehrbuch der Bodenkunde, Stuttgart: Enke.
21. Searle, S. R., Casella, G., and McCulloch, C. E (1992), Variance Components, New York: Wiley.
22. Van Eeuwijk, F. A., Denis, J. B., and Kang, M. S. (1996), "Incorporating Additional Information on Genotypes and Environments in Models for Two-Way Genotype by Environment Tables," Genotype-by-Environment Interaction, eds. M. S. Kang and H. G. Gauch, Jr., Boca Raton: CRC Press, pp. 15-50.
23. Wood, J. T. (1976), "The Use of Environmental Variables in the Interpretation of Genotype-Environment Interaction," Heredity, 37, 1-7.
24. Zyskind, G. (1967), "On Canonical Forms, Non-negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models," Annals of Mathematical Statistics, 38, 1092-1109.