Sample size for the evaluation of selection traits of nuts in hazelnut varieties

Abstract

Planning works on the study of coblnut (hazelnut) requires establishing the sample size, taking into account the magnitude of the error and the significance of the results. Such studies have not been carried out in full with regard to plant varieties, taking into account modern requirements. The purpose of the research is to determine the sample size for calculating the value of selection traits of nuts in hazelnut varieties with different error rates and significance levels. For this purpose 12 main economically valuable breeding traits of nuts have been studied in 8 varieties – taste, weight, indestructibility, kernel yield, the presence of husks on it, strength and color of the shell, nut weight, one-dimensionality of fruits in size and shape, overall score. A well-known method has been used to calculate the sample size for evaluating each indicator with different relative and absolute errors for different levels of significance. The largest contribution to the overall maximum score of 59 points is made by the core indicators: taste – 25.42%, weight – 22.29%, indestructibility – 16.9%, yield – 11.31%. The share of other features is estimated at 2.25 – 6.78%. For a relative estimate of 5% accepted in Biology the estimated sample size for weight indicators was at a significance level of α = 0.05 / α = 0.1: walnut weight 30/21, kernel weight – 43/30 nuts; scoring indicators: shell color – 18/13, shell strength – 22/16, presence of husks on the kernel – 137/95, indestructibility of the kernel – 27/19, taste of the kernel – 25/17, total score of the selection category – 11/7 nuts. For indicators expressed as a percentage for α = 0.05: kernel yield with an error of 1% – 98, damaged by diseases, pests with an error of 10% – 62, one-dimensional in size with an error of 10% – 57, one-dimensional in shape – with 10%, error – 54 hazelnuts.