Pairwise Target Rotation for Factor Models

[2409.11525] Pairwise Target Rotation for Factor Models Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Statistics > Methodology arXiv:2409.11525 (stat) [Submitted on 17 Sep 2024 ( v1 ), last revised 17 Aug 2026 (this version, v10)] Title: Pairwise Target Rotation for Factor Models Authors: Justin Philip Tuazon , Gia Mizrane Abubo , Joemari Olea View a PDF of the paper titled Pairwise Target Rotation for Factor Models, by Justin Philip Tuazon and 2 other authors View PDF HTML (experimental) Abstract: Factor analysis is used to characterize latent variables by examining relationships among manifest variables. In exploratory factor analysis (EFA), various factor models are considered to uncover the latent structure. Now, the success of EFA lies with the model's interpretability, as the objective is to build a factor model that is not only supported by data, but is also meaningful. Achieving such, however, is challenging, as gauging interpretability is difficult and subjective, owing to rotational indeterminacy. Thus, we propose a new index that measures the interpretability of a factor model. The index does this by evaluating the agreement between a priori information, such as semantic information from items, and the loadings. We also introduce pairwise target rotation, a rotation method that maximizes interpretability based on the index. In general, this method allows for an intuitive yet flexible way of incorporating a priori information, such as semantics, in factor rotations, which can help in performing EFA more effectively. Based on simulations, the index correctly indicates better fit when noise levels are lower and the new rotation outperforms classical orthogonal rotations across diverse conditions in terms of recovering the latent structure. Finally, we applied the method to empirical datasets, providing evidence linking item semantics and latent constructs, consistent with recent findings. Subjects: Methodology (stat.ME) Cite as: arXiv:2409.11525 [stat.ME] (or arXiv:2409.11525v10 [stat.ME] for this version) https://doi.org/10.48550/arXiv.2409.11525 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Justin Philip Tuazon [ view email ] [v1] Tue, 17 Sep 2024 19:50:01 UTC (1,597 KB) [v2] Thu, 19 Sep 2024 03:23:14 UTC (1,597 KB) [v3] Sun, 22 Sep 2024 14:01:09 UTC (1,601 KB) [v4] Mon, 2 Dec 2024 13:01:46 UTC (3,189 KB) [v5] Wed, 4 Dec 2024 02:28:32 UTC (3,189 KB) [v6] Sun, 29 Dec 2024 03:39:05 UTC (1,634 KB) [v7] Sun, 4 May 2025 18:30:51 UTC (1,534 KB) [v8] Thu, 9 Jul 2026 20:15:22 UTC (1,828 KB) [v9] Tue, 11 Aug 2026 12:16:57 UTC (1,829 KB) [v10] Mon, 17 Aug 2026 02:17:15 UTC (1,845 KB) Full-text links: Access Paper: View a PDF of the paper titled Pairwise Target Rotation for Factor Models, by Justin Philip Tuazon and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: stat.ME < prev | next > new | recent | 2024-09 Change to browse by: stat References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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