在协方差分析中离均差乘积和计算方法的改进研究  

Improvement of Sum of Squares of Deviation from Average and its Calculating Method in Analysis of Covariance

作　　者：夏敏慧[1] 祁国鹰[2] 

机构地区：[1]海南师范学院体育部,海南海口571158 [2]北京体育大学,北京100084

出　　处：《北京体育大学学报》2003年第4期492-493,533,共3页Journal of Beijing Sport University

基　　金：第六届体育科学大会专题报告

摘　　要：针对协方差分析中离均差乘积和的计算方法较为复杂这一难点,根据大多数人掌握在具有统计功能的计算器或计算机中计算相关系数比较便利的特点,应用协方差分析中离均差乘积和的计算公式与积差相关系数的计算公式的相同部分,利用代入法和换算法推导出新的离均差乘积和的计算公式。对新建立的公式进行了推导和验证运算,均准确无误。并用相同的实例证明原公式与新公式的计算结果完全相同,且新公式简捷,有效及实用。The calculation of the sum of squares of deviation from average in analysis of covariance is complex and difficult. However, most people are convenient to master the skill of calculating correlation coefficient by a calculator or a computer with statistical functions. Based on this fact, by applying the similar part of the calculation formula of the sum of squares of deviation from average in analysis of covariance and the calculation formula of differenceproduct correlation coefficient the new calculation formula of the sum of squares of deviation from average was deducted by using the substitution method and conversion method. The newly established formula was checked and validated by operation, which was correct and without mistakes. The calculated results of both the old and the new formulas were proved to be completely the same by using the similar examples. Moreover, the new formula is simple, effective and practical.

关 键 词：协方差分析 离均差乘积 新公式 研究 

分 类 号：G80-32[文化科学—运动人体科学]