A Matrix-Free Likelihood Method for Exploratory Factor Analysis of High-Dimensional Gaussian Data
This technical note proposes a novel profile likelihood method for estimating the covariance parameters in exploratory factor analysis of high-dimensional Gaussian datasets with fewer observations than number of variables. An implicitly restarted Lanczos algorithm and a limited-memory quasi-Newton method are implemented to develop a matrix-free framework for likelihood maximization. Simulation results show that our method is substantially faster than the expectation-maximization solution without sacrificing accuracy. Our method is applied to fit factor models on data from suicide attempters, suicide ideators, and a control group. Supplementary materials for this article are available online.
This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Computational and Graphical Statistics on February 7, 2020, available online: 10.1080/10618600.2019.1704296. Posted with permission.