Summary
There is an increasing number of stability parameters for genotypes grown in different environments. It is therefore useful to study the statistical relations between these parameters. One approach is the calculation of rank correlations between different stability parameters in empirical data sets. In the data analysed there are high rank correlations between ecovalence Wi, deviation mean square s2 di, the nonparametric measures Si (1), Si (2), and two new measures Ri and Li as well as between environmental variance S2 xi and regression coefficient bi. The results suggest that Si (1), Si (2), Li, and Ri can be used as alternatives to Wi and the stability variance σ2 i. This may be worthwhile, if certain statistical assumptions do not hold, particularly if significance testing is needed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Becker, H.C., 1981. Biometrical and empirical relations between different concepts of phenotypic stability. In: A. Gallais (Ed.) Quantitative Genetics and Breeding Methods. I.N.R.A., Versailles, p. 307–314.
Becker, H.C. & J. Léon, 1988. Stability analysis in plant breeding. Plant Breeding 101: 1–23.
Conover, W.J., 1980. Practical nonparametric statistics. 2nd ed. Wiley, New York.
Eberhart, S.A. & W.A. Russell, 1966. Stability parameters for comparing varieties. Crop Sci. 6: 36–40.
Finlay, K.W. & G.N. Wilkinson, 1963. The analysis of adaption in a plant breeding programme. Aust. J. Agric. Res. 14: 742–754.
Hochberg, Y. & A.C. Tamhane, 1987. Multiple comparison procedures. Wiley, New York.
Hühn, M., 1979. Beiträge zur Erfassung der phänotypischen Stabilität. I. Vorschlag einiger auf Ranginformationen beruhender Stabilitätsparameter. EDV Med. Biol. 10: 112–117.
Hühn, M., 1990a. Nonparametric measures of phenotypic stability. Part 1: Theory. Euphytica 47: 189–194.
Hühn, M., 1990b. Nonparametric measures of phenotypic stability. Part 2: Applications. Euphytica 47: 189–194.
Hühn, M. & R. Nassar, 1989. On tests of significance for nonparametric measures of phenotypic stability. Biometrics 45: 997–1000.
Hühn, M. & R. Nassar, 1991. Phenotypic stability of genotypes over environments: On tests of significance for two nonparametric measures. Biometrics 47: 1096–1097.
Levene, H., 1960. Robust tests for equality of variances. In: I. Olkin, S.G. Ghurye, W. Hoeffding, W.G. Madow & H.B. Mann (Eds.) Contributions to probability and statistics. Essays in honor of Harold Hotelling. Stanford University Press, Stanford, Carolina, p. 278–292.
Lin, C.S., M.R. Binns & L.P. Levkovitch, 1986. Stability analysis: Where do we stand? Crop Sci. 26: 894–900.
Miller, R.G., 1981. Simultaneous statistical inference (2nd ed.). Springer Series in Statistics. Springer, New York.
Nassar, R. & M. Hühn, 1987. Studies on estimation of phenotypic stability: Tests of significance for nonparametric measures of phenotypic stability. Biometrics 43: 45–53.
Pham, H.N. & M.S. Kang, 1988. Interrelationships among and repeatability of several stability statistics estimated from international maize trials. Crop Sci. 28: 381–385.
Shukla, G.K., 1972. Some statistical aspects of partitioning genotype-environmental components of variability. Heredity 29: 237–345.
Weber, W.E. & G. Wricke, 1987. Wie zuverlässig sind Schätzungen von Parametern der phänotypischen Stabilität? Vortr. Pflanzenzücht. 12: 120–133.
Westcott, B., 1986. Some methods of analysing genotype-environment interactions. Heredity 56: 243–253.
Wricke, G., 1962. Über eine Method zur Erfassung der ökologischen Streubreite in Feldversuchen. Z. Pflanzenzücht. 47: 92–96.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Piepho, HP., Lotito, S. Rank correlation among parametric and nonparametric measures of phenotypic stability. Euphytica 64, 221–225 (1992). https://doi.org/10.1007/BF00046052
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00046052