度量样本散布差异的组合平均法

Combination Average Method of Measuring Sample Distribution Deviation

针对目前几种度量散布差异的方法,在小子样应用时存在的不足,通过组合平均提出确定度量散布(分布)差异的样本组合平均标准差,从而形式上统一了样本标准差和极差这两种方法。并采用计算机仿真技术确定不同分布的修正系数,使得修正后的样本组合平均标准差计算与分布有关。经实例计算,取得了满意的结果。

Focused on existing methods of measuring distribution deviation and their shortcomings in small sub-sample application, the average standard deviation of sample combination for measuring sample distribution deviation was presented by means of combination average method which can integrate both methods of sample standard deviation and range formally. The modified average standard deviation of sample combination was related to sample distribution with correction coefficient determined by computer simulation. The satisfactory result was achieved by verification with examples.