Abstract
In crop variety testing it is frequently of interest to estimate measures of yielding stability or phenotypic stability. The common procedures for stability analysis require a balanced two-way table of genotypes and environments, in which all cells are filled. Frequently, however, empirical data sets are unbalanced due to missing observations. This paper explores methods to estimate stability when some cells are empty. A set of wheat data is used to exemplify these methods.
Similar content being viewed by others
Article PDF
References
Becker, H C, and Leon, J. 1988. Stability analysis in plant breeding. Plant Breeding, 101, 1–23.
Ellenberg, J H. 1977. The joint distribution of the standardized row sums of squares from a balanced two-way layout. J Am Stat Ass, 72, 407–411.
Graybill, F A. 1954. Variance heterogeneity in a randomized block design. Biometrics, 10, 516–520.
Grubbs, F E. 1948. On estimation of precision of measuring instruments and product variability. J Am Stat Ass, 43, 243–264.
Han, C P. 1969. Testing the homogeneity of variances in a two-way classification. Biometrics, 25, 153–158.
Hühn, M, and Nassar, R. 1989. On tests of significance for nonparametric measures of phenotypic stability. Biometrics, 45, 997–1000.
Jaech, J L. 1985. Statistical Analysis of Measurement Errors. Wiley, New York.
Levy, K J. 1975. A multiple range procedure for correlated variances in a two-way classification. Biometrics, 31, 243–246.
Lin, C S, Binns, M R, and Levkovitch, L P. 1986. Stability analysis: where do we stand? Crop Sci, 26, 894–900.
Mudholkar, G S, and Sarkar, I C. 1992. Testing homo-scedascity in a two-way table. Biometrics, 48, 883–888.
Nassar, R, and Hühn, M. 1987. Studies on estimation of phenotypic stability: tests of significance for nonparametric measures of phenotypic stability. Biometrics, 43, 45–53.
Piepho, H P. 1992. Vergleichende Untersuchungen der statistischen Eigenschaften verschiedener Stabilitatsmasse mit Anwendungen auf Hafer, Winterraps, Ackerbohnen sowie Futter-und Zuckerrüben. Doctoral Thesis, Kiel.
Rao, C R. 1970. Estimation of heteroscedastic variances in linear models. J Am Stat Ass, 65, 161–172.
Rao, C R. 1972. Estimations of variance and covariance components in linear models. J Am Stat Ass, 67, 112–115.
Shukla, G K. 1972. Some statistical aspects of partitioning genotype-environmental components of variability. Heredity, 29, 237–245.
Searle, S R, Cassella, G, and McCulloch, C E. 1992. Variance Components. Wiley, New York.
Snee, R D. 1982. Nonadditivity in a two-way classification: is it interaction or nonhomogeneous variance? J Am Stat Assoc, 77, 515–519.
Westcott, B. 1986. Some methods of analysing genotype-environment interactions. Heredity, 56, 243–253.
Wricke, G. 1965. Die Erfassung der Weschselwirkungen zwischen Genotyp und Umwelt bei quantitativen Eigenschaften. Zeitschrift für Pflanzenzüchtung, 53, 266–343.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Piepho, HP. Missing observations in the analysis of stability. Heredity 72, 141–145 (1994). https://doi.org/10.1038/hdy.1994.20
Received:
Issue date:
DOI: https://doi.org/10.1038/hdy.1994.20


