A STATISTICAL MODEL WHICH COMBINES FEATURES OFFACTOR ANALYTIC AND ANALYSIS OF VARIANCE TECHNIQUES
A STATISTICAL MODEL WHICH COMBINES FEATURES OFFACTOR ANALYTIC AND ANALYSIS OF VARIANCE TECHNIQUES
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DOI：
10.1007/bf02289676
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发表时间：
1968-01-01
期刊：
影响因子：
3
通讯作者：
GOLLOB, HF
中科院分区：
文献类型：
--
作者：
GOLLOB, HF
本文描述了一种矩阵分解方法，该方法保留了因子分析技术以相对较少的坐标数总结数据的能力；但同时，不会牺牲将数据矩阵划分为相对易于解释的独立变异源的有用方差启发式分析。基本模型本质上是双向方差分析模型，需要使用因子分析技术来分解交互参数矩阵。讨论了判断统计显着性的问题；并给出了一个说明性的例子。
This paper describes a method of matrix decomposition which retains the ability of factor analytic techniques to summarize data in terms of a relatively low number of coordinates; but at the same time, does not sacrifice the useful analysis of variance heuristic of partitioning data matrices into independent sources of variation which are relatively simple to interpret. The basic model is essentially a two-way analysis of variance model which requires that the matrix of interaction parameters be decomposed by using factor analytic techniques. Problems of judging statistical significance are discussed; and an illustrative example is presented.