论文标题
多重回归和ANOVA的F统计数据的三种特性
Three Properties of F-Statistics for Multiple Regression and ANOVA
论文作者
论文摘要
本文在多回归和方差分析中建立了F统计量的三个特性，以推断平均向量。由于在模型上施加了一组线性条件，因此额外的SSE测试了这些条件的可估计部分。测试相同的所有其他可能的平方分子总和没有少于自由度，而不是不greater的非中心参数。当因子级组合通过对比编码时，通过省略模型矩阵的效果列来制定该模型以消除ANOVA效应。
This paper establishes three properties of F-statistics for inference about the mean vector in multiple regression and analysis of variance. The extra SSE due to imposing a set of linear conditions on the model tests the estimable part of those conditions. All other possible numerator sums of squares that test the same have not-lesser degrees of freedom and not-greater non-centrality parameters. When factor-level combinations are coded by contrasts, the model restricted to eliminate an ANOVA effect is formulated by omitting that effect's columns from the model matrix.
