Document Type
Article
Language
eng
Format of Original
20 p.
Publication Date
3-2015
Publisher
Taylor & Francis
Source Publication
Journal of Computational and Graphical Statistics
Source ISSN
1061-8600
Original Item ID
doi: 10.1080/10618600.2014.891461
Abstract
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.
Recommended Citation
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.
https://epublications.marquette.edu/mscs_fac/267
Comments
Accepted version. Journal of Computational and Graphical Statistics, Vol. 24, No. 1 (March 2015): 84-103. DOI. © 2015 Taylor & Francis. Used with permission.