从体育科研的角度探讨方差分析的思想及其应用

Research on the ldea and its Application of Variance Analysis from the Angle of Science Research in Physical Education

方差分析在理论上比较抽象、复杂 ,应用中又灵活多样 ,难以掌握。在体育统计教科书中 ,仅限于介绍方差分析的计算步骤 ,掩盖了方差分析的思想 ,局限了其应用范围 ,以致于方差分析不能广泛地运用于体育科研。本文运用数理统计中的理论结果 ,从应用的角度阐述了方差分析的真正思想 ,揭示了其实质 ,指出方差分析是按指定来源分解变异的一种技巧 ,并就如何运用方差分析的问题 ,提出了具体看法。

Variance analysis could not be mastered easily,for the abstract and complex of its theory and the flexibility of its appliance.In textbooks of sports statistics,only the step of variance analysis was introduced,so that the idea was covered and its application range was reduced.In this paper,based on the theoretical results,the idea of variance analysis was expounded from applied angle and the substance was revealed.It was pointed out that variance analysis is a skill of resolving variation according to the source.The concrete view was suggested on the problem about how to apply variance analysis.