A Recommendation for Classical and Robust Factor Analysis
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 2
Abstract
Considering the factor analysis methods (classical or robust), the data input (data or scaled data), and the running matrix (covariance or correlation) all together, there are 8 combinations. The objective of the study is to give a recommendation for classical and robust factor analysis. First, when the variables have different units, it is common to standardize the variables, and thus it is common to use the correlation matrix as the running matrix. Second, we need to explain the factors from the loading matrix. The entries of the loading matrix from the sample covariance matrix are not limited between 0 and 1, which makes the explanations of the factors hard. Third, we may not be able to compute the robust covariance matrix, and thus the robust correlation matrix of the original data, as the stocks data example illustrates. Consequently, we recommend classical and robust factor analysis using the correlation matrix of the scaled data as the running matrix for theoretical and computational reasons. The hbk data and the stock611 data illustrate our recommendation.
Authors and Affiliations
Ying-Ying Zhang, Teng-Zhong Rong, Man-Man Li
Keywords
Related Articles
- EP ID EP321947
- DOI 10.9734/BJMCS/2017/31936
- Views 106
- Downloads 0
Some Fixed Point Theorems for Berinde-Type Contraction Mappings on Gp-Metric Spaces
In this paper, we de ne the concepts of (δ, 1 − δ)-weak contraction, (φ, 1 − δ)-weak contraction and Ciric-type almost contraction in the sense of Berinde in Gp-complete Gp-metric space. Furthermore, we prove the exist...
Text Summarization versus CHI for Feature Selection
Text Classification is an important technique for handling the huge and increasing amount of text documents on the web. An important problem of text classification is features selection. Many feature selection techniques...
The Gamma Function and Its Analytical Applications
This paper explores the history and properties of the Gamma function with some analytical applications. Specifically, the Gamma function is employed to prove the legitimacy of the Standard Normal Distribution and for eva...
SEIRS Model for Pediatrics with Lower Respiratory Tract Infection
The ability of the immune system to detect and eliminate most pathogens is essential for the survival of lower respiratory tract infection in 2016 by Olubadeji [1]. Lower respiratory tract infection (LRTI) constituted th...
Properties of T–Anti-Fuzzy Ideals of a –Near-Ring
In this paper, we define Anti-fuzzy ideal of a -near-ring in and -anti-fuzzy ideal of a -near-ring in . we made an attempt to study the properties of -anti-fuzzy ideal of a -near-ring, union of -anti-fuzzy ideal...