非常规约束条件下的方差分析计算方法

An Algorithm for Analysis of Varia nce without the Usual Constraints

方差分析是实际工作中广为运用的一种统计方法。然而,目前通用的方差分析计算方法都是在对相应线性模型给定常规约束条件下导出的,只能用于平衡资料的分析。另外,由于不同实验设计模型对应不同的约束条件,给编制通用的方差分析计算程序造成了极大障碍。本文讨论的非约束条件下的方差分析计算方法可以克服以上缺点。

It is well known that the commonly used met-hods of variance analysis for the balance data arederived from the linear models with“the usual co-nstraints”.Because there are so many constraintsfor different experimental design models,it is difficult to make a computer software for analysingdifferent experimental data by a general procedureof decomposing the sum of squares.To overcomethe problem,we developed an algorithm for vari-ance analysis under the condition without“the us-ual constraints”