Format of Original
Taylor & Francis
Journal of Computational and Graphical Statistics
Original Item ID
Principal component analysis (PCA) is a popular dimension-reduction method to reduce the complexity and obtain the informative aspects of high-dimensional datasets. When the data distribution is skewed, data transformation is commonly used prior to applying PCA. Such transformation is usually obtained from previous studies, prior knowledge, or trial-and-error. In this work, we develop a model-based method that integrates data transformation in PCA and finds an appropriate data transformation using the maximum profile likelihood. Extensions of the method to handle functional data and missing values are also developed. Several numerical algorithms are provided for efficient computation. The proposed method is illustrated using simulated and real-world data examples. Supplementary materials for this article are available online.
Maadooliat, Mehdi; Huang, Jianhua Z.; and Hu, Jianhua, "Integrating Data Transformation in Principal Components Analysis" (2015). Mathematics, Statistics and Computer Science Faculty Research and Publications. 267.
Accepted version. Journal of Computational and Graphical Statistics, Vol. 24, No. 1 (March 2015): 84-103. DOI. © 2015 Taylor & Francis. Used with permission.