The important characteristics of economic plants and animals from the view-point of breeding are usually expressed as continuous random variables which are analyzed statistically to see the genetical behavior of those characteristics. In the case, the linear models are postulated for the genetical structure of the characteristics. Accordingly many genetical parameters such as genetic variance, environmental variance, heritability, genetic correlation etc. are defined. To extend breeding techniques it is desirable to use such parameters if they exist. But the estimators of these Parameters always vary according to the sampling and the parameters themselves change under varying situations. Then we adopted the heritability, one of genetic parameters, as a clue of the study for the purpose to see whether the analysis of quantitative characteristics by means of such a method with genetic statistics is useful or not for the actual breeding, because the heritability is meaningful, historically and somewhat practically, to combine genetic statistics with actual breeding. Experiments were conducted on paddy rice plants, for two years at four localities, soybean plants for five years at four localities and silkworms for two years at three localities. The estimators of heritability were calculated by various methods and in. vestigated based on the data of these experiments. In this first report, details of our purpose and opinions for the experiments are described. Concerning with them, adopted methods estimating the heritability and the confidence intervals of these estimators(as possble to set up)are also introduced.
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