A New Algorithm for Computing Disjoint Orthogonal Components in the Parallel Factor Analysis Model with Simulations and Applications to Real-World Data

Autor: Carlos Martin-Barreiro, John A. Ramirez-Figueroa, Xavier Cabezas, Victor Leiva, Ana Martin-Casado, M. Purificación Galindo-Villardón
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 17, p 2058 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9172058
Popis: In this paper, we extend the use of disjoint orthogonal components to three-way table analysis with the parallel factor analysis model. Traditional methods, such as scaling, orthogonality constraints, non-negativity constraints, and sparse techniques, do not guarantee that interpretable loading matrices are obtained in this model. We propose a novel heuristic algorithm that allows simple structure loading matrices to be obtained by calculating disjoint orthogonal components. This algorithm is also an alternative approach for solving the well-known degeneracy problem. We carry out computational experiments by utilizing simulated and real-world data to illustrate the benefits of the proposed algorithm.
Databáze: Directory of Open Access Journals