scholarly journals The Truth behind the Zeros: A New Approach to Principal Component Analysis of the Neuropsychiatric Inventory

Author(s):  
Kristoffer H. Hellton ◽  
Jeffrey Cummings ◽  
Audun Osland Vik-Mo ◽  
Jan Erik Nordrehaug ◽  
Dag Aarsland ◽  
...  
2021 ◽  
Author(s):  
Dashan Huang ◽  
Fuwei Jiang ◽  
Kunpeng Li ◽  
Guoshi Tong ◽  
Guofu Zhou

This paper proposes a novel supervised learning technique for forecasting: scaled principal component analysis (sPCA). The sPCA improves the traditional principal component analysis (PCA) by scaling each predictor with its predictive slope on the target to be forecasted. Unlike the PCA that maximizes the common variation of the predictors, the sPCA assigns more weight to those predictors with stronger forecasting power. In a general factor framework, we show that, under some appropriate conditions on data, the sPCA forecast beats the PCA forecast, and when these conditions break down, extensive simulations indicate that the sPCA still has a large chance to outperform the PCA. A real data example on macroeconomic forecasting shows that the sPCA has better performance in general.


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