Study of different parametric stability measures when the basic data/variables are non-normal
DOI:
https://doi.org/10.56093/ijas.v87i9.74231Keywords:
Genotype environment interaction, Parameter methods, Probability distributions, Simulations, Stability measuresAbstract
The presence of genotype-environment interactions (GEI) necessitates the developments of varieties or breeds suited for different agro-environments based on their stability and adaptability characteristics. In many situations, the assumptions about the normality and independence of observations as well as homogeneity of error variances are not fulfilled. Therefore, there is a need to investigate the performance of different parametric methods for stability measures when the basic data is not normally distributed. This important aspect is taken up in the present investigation. Using simulation technique,power of the test has been computed for different sample sizes when the underlying dataset is normal as well as non-normal like gamma, beta, t, weibull, log normal etc. In most of the cases it is found that Eberhart and Russell parametric stability measure gives better performance.Downloads
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Drazic S, Zinanovic T and Prodanovic S. 2014. Stability ofproductive traits of genotypes of cultivated medicinal plants offamily Apiaceae. Biotechnology and Biotechnolgical Equipments 21(1): 100–6. DOI: https://doi.org/10.1080/13102818.2007.10817424
Dehghani, M R, Majidi, M, Mirlohi, A and Saeidi G. 2016. Integrating parametric and non-parametric measures to investigate genotype × environment interactions in tall fescue. Euphytica 208(3): 583–96. DOI: https://doi.org/10.1007/s10681-015-1611-0
Kang M S, Prabhakaran V T and Mehra R B. 2002. Genotype by Environment interaction in crop improvement. Invited paper presented at Diamond Jubilee Symposium on Hundred years of post - Mendelian genetics and plant breeding - Retrospect and Prospects, Indian Society of Genetics and Plant Breeding, New Delhi, 6-9 November.
Kennedy and Gentle. 1980. Statistical Computing, p 220. Marcel Dekker , INC, New York.
Kinderman A J, Mohana J F and Range J G. 1977. Computer methods for sampling from student t distribution. Mathematics of Computation 31: 1009–8 DOI: https://doi.org/10.2307/2006133
Lal R K. 2014. Stability and genotype × environment interactionin fennel. Journal of Herbs, Spices and Medicinal Plants 13(3): 47–54. DOI: https://doi.org/10.1300/J044v13n03_05
Nassar R and Huhn M. 1987. Studies on estimation of phenotypic stability: Test of significance for non-parametric measures of phenotypic stability. Biometrics 43: 45–53. DOI: https://doi.org/10.2307/2531947
Nassar R, Leon J and Huhn M. 1994. Tests of significance for combined measures of plant stability and performance. Biometrical Journal 36: 109–23. DOI: https://doi.org/10.1002/bimj.4710360115
Paul A K, Paul R K, prabhakaran V T, Singh I and Dhandapani A. 2015a. Performance of parametric and non-parametric stability measures. Journal of the Indian Society of Agricultural Statistic 69(3): 289–99.
Paul A K, Paul R K, Das S, Behera S K and Dhandapani A. 2015b. Nonparametric stability measures for analyzing non-normal data. Indian Journal of Agricultural Sciences 85(8): 113–7.
Perkins J M and Jinks J L. 1968. Environmental and genotype environmental components of variability,III. Multiple lines and crosses. Heridity 23: 339–56 DOI: https://doi.org/10.1038/hdy.1968.48
Pinthus M J. 1973. Estimate of genotypic value: A proposed method. Euphytica 22: 121–3. DOI: https://doi.org/10.1007/BF00021563
Prabhakaran, V T and Jain J P. 1994. Statistical Techniques for Studying Genotype-Environment Interactions. South Asian Publishers, New Delhi.
Shukla G K. 1972. Some statistical aspects of partitioning genotype-environment components of variability. Heridity 29: 237–45. DOI: https://doi.org/10.1038/hdy.1972.87
Thennarasu K. 1995. On certain non-parametric procedures for studying genotype environment interactions and yield stability. Indian Journal of Genetics 60: 433–9.
Verma, P. and Solanki, R K. 2015. Stability of seed yield and its component traits in fennel (Foeniculum vulgare). Indian Journal of Agricultural Sciences 85(11): 1504–7.
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