On Optimal Allocation of Treatment/Condition Variance in Principal Component Analysis

André Beauducel; Norbert Hilger

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On Optimal Allocation of Treatment/Condition Variance in Principal Component Analysis

机译：关于主要成分分析中治疗/条件方差的最佳分配

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The allocation of a (treatment) condition-effect on the wrong principal component (misallocation of variance) in principal component analysis (PCA) has been addressed in research on event-related potentials of the electroencephalogram. However, the correct allocation of condition-effects on PCA components might be relevant in several domains of research. The present paper investigates whether different loading patterns at each condition-level are a basis for an optimal allocation of between-condition variance on principal components. It turns out that a similar loading shape at each condition-level is a necessary condition for an optimal allocation of between-condition variance, whereas a similar loading magnitude is not necessary.

机译：关于脑电图的事件相关电位的研究，在主成分分析（PCA）中的错误主成分（差异误差分配）的分配已经解决了脑电图的事件相关电位的研究。然而，对PCA组件的正确分配可能在研究的几个域中相关。本文研究了每个条件级别的不同加载模式是最佳分配在主成分上的条件方差的最佳分配的基础。事实证明，每个条件级别的类似装载形状是用于条件方差的最佳分配的必要条件，而不需要类似的加载幅度。

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《International Journal of Statistics and Probability》 |2018年第4期|共7页
作者
André Beauducel; Norbert Hilger;
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中图分类概率论与数理统计;
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11. On Optimal Allocation of Treatment/Condition Variance in Principal Component Analysis [O] . André Beauducel, Norbert Hilger 2018

机译：关于主要成分分析中治疗/条件方差的最佳分配
12. Optimal Allocation of Observations When Comparing Several Treatments with a Control. III: Globally Best One-Sided Intervals for Unequal Variances. [R] . bechhofer,robert e. turnbull,bruce w. 1971

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On Optimal Allocation of Treatment/Condition Variance in Principal Component Analysis

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