RSR法中各指标按任意系数进行编秩的探讨

目的 完善秩和比法的编秩方法。方法 首先总结出ＲＳＲ原编秩方法，即指标赋予值０，±１，±１／２，±１／２＾２，±１／２＾３，．．．．时的编秩公式，并利用数学归纳法给予证明，然后定义了当各指标赋予任意系数时的编秩公式。结果 通过实例证实了新编秩公式的合理性。结论 新编方法进一步突出了ＲＳＲ法具有的简单，直观，应用范围广的非参数统计特点，又突出了ＲＳＲ具有的精确，效能高的参数统计特点。

An Equivalent Form of the Dedekind Axiomand Its Application(Ⅱ)——Also on the unity of the Continuous Induction,the Mathem atical Induction and the Transfinite Induction

In this paper,a common characteristic of real number system and well ordered set is revealed and proved to be an equivalent form of the Dedekind Axiom or the Continuous Induction in R. Basing on it,we get the unified form of the mathematical induction,the transfinite induction and the continuous induction and generalize induction to totally ordered set that has the same characteristic.

An Equivalent Form of the Dedekind Axiomand Its Application(Ⅰ)——Also on theunity ofthe ContinuousInduction,theMathem aticalInduction and theTransfiniteInduction

In this paper,a common characteristic of real number system and well ordered set is revealed and proved to be an equivalent form of the Dedekind Axiom or the Continuous Induction in R. Basing on it,we get the unified form of the mathematical induction,the transfinite induction and the continuous induction and generalize induction to totally ordered set that has the same characteristic.