Interpretation of Transformed Axes in Multivariate Analysis
本文探讨了多元统计中正交变换后新坐标如何用原始变量解读，对比了投影与相关方法，并引入累积和图辅助解释，通过感官分析和心理量表案例说明。
SUMMARY Several multivariate statistical techniques involve an orthogonal transformation to new axes. These lead to new co-ordinates of a configuration usually in a lower dimensional space. Often it is desirable to interpret this new co-ordination in terms of the original variables. In surveying some of the principles involved in achieving this aim, the use of projections is contrasted with the use of correlations. Cumulative sum diagrams are introduced as informative in the interpretation. The methods are illustrated for principal components analysis, factor analysis and generalized Procrustes analysis by using examples from sensory profiling and the development of psychological scales.