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The concept of diagonal average difference of matrix is proposed. Based on this concept, calculating the values influenced by factors in double factor product index is transformed into calculating the diagonal average difference of matrix. Through proper transformation, the values influenced by factors in quotient index, product sum index and weighted mean index can also be determined by means of the matrix method, and the factor analysis method of... The concept of diagonal average difference of matrix is proposed. Based on this concept, calculating the values influenced by factors in double factor product index is transformed into calculating the diagonal average difference of matrix. Through proper transformation, the values influenced by factors in quotient index, product sum index and weighted mean index can also be determined by means of the matrix method, and the factor analysis method of statistical index is thus unified and simplified to a certain extent. 引入矩阵的对角均差概念,将计算双因素积指标的因素影响值转化为计算矩阵的对角均差。通过适当的变换,商指标、积和指标以及加权平均指标的因素影响值也都能用矩阵方法求解,从而使统计指标的因素分析方法在一定程度上得到了统一与简化。 This paper analyzes and evaluates the influencial factors in current average index changes. It puts forward the existence of the variation consequential factors in average index changes and provides a further study on some methods of its calculation and analysis. 本文对现行的平均指标变动中的影响因素进行了分析和评价,提出了平均指标变动中存在共变影响因素的观点,并对其计算和分析方法作了较深入的讨论。 In the statistics circles, there are a few uncertain points in the exposition on the concept of average norm, mathematical statistics as well as its applied analysis. This paper intends to redefine the concept of the average norm, elaborate the difference between statistic average and mathematic average, and further clarify the applicative situations of mediate average. 目前统计界在对平均指标的概念、数理基础及应用分析等方面的阐述还存在一些疑点。重新界定平均指标的概念、阐明统计平均数与数学平均数的区别、进一步明确调和平均数的应用场合 ,是非常必要的
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