PMID- 32627167 OWN - NLM STAT- MEDLINE DCOM- 20211025 LR - 20211025 IS - 1541-0420 (Electronic) IS - 0006-341X (Print) IS - 0006-341X (Linking) VI - 77 IP - 2 DP - 2021 Jun TI - Structural factor equation models for causal network construction via directed acyclic mixed graphs. PG - 573-586 LID - 10.1111/biom.13322 [doi] AB - Directed acyclic mixed graphs (DAMGs) provide a useful representation of network topology with both directed and undirected edges subject to the restriction of no directed cycles in the graph. This graphical framework may arise in many biomedical studies, for example, when a directed acyclic graph (DAG) of interest is contaminated with undirected edges induced by some unobserved confounding factors (eg, unmeasured environmental factors). Directed edges in a DAG are widely used to evaluate causal relationships among variables in a network, but detecting them is challenging when the underlying causality is obscured by some shared latent factors. The objective of this paper is to develop an effective structural equation model (SEM) method to extract reliable causal relationships from a DAMG. The proposed approach, termed structural factor equation model (SFEM), uses the SEM to capture the network topology of the DAG while accounting for the undirected edges in the graph with a factor analysis model. The latent factors in the SFEM enable the identification and removal of undirected edges, leading to a simpler and more interpretable causal network. The proposed method is evaluated and compared to existing methods through extensive simulation studies, and illustrated through the construction of gene regulatory networks related to breast cancer. CI - (c) 2020 The International Biometric Society. FAU - Zhou, Yan AU - Zhou Y AD - Gilead Sciences, Foster City, California. FAU - Song, Peter X-K AU - Song PX AUID- ORCID: 0000-0001-7881-7182 AD - Department of Biostatistics, University of Michigan, Ann Arbor, Michigan. FAU - Wen, Xiaoquan AU - Wen X AD - Department of Biostatistics, University of Michigan, Ann Arbor, Michigan. LA - eng GR - R01 ES024732/ES/NIEHS NIH HHS/United States GR - R35 GM138121/GM/NIGMS NIH HHS/United States GR - 1181734/National Science Foundation, Division of Mathematical Sciences/ PT - Journal Article PT - Research Support, N.I.H., Extramural PT - Research Support, Non-U.S. Gov't DEP - 20200718 PL - England TA - Biometrics JT - Biometrics JID - 0370625 SB - IM MH - Causality MH - Factor Analysis, Statistical MH - *Models, Theoretical MH - *Research Design PMC - PMC8240035 MID - NIHMS1717175 OTO - NOTNLM OT - directed acyclic graph OT - factor analysis model OT - network data OT - regularization OT - semi-Markov model EDAT- 2020/07/07 06:00 MHDA- 2021/10/26 06:00 PMCR- 2021/06/29 CRDT- 2020/07/07 06:00 PHST- 2018/08/08 00:00 [received] PHST- 2020/05/29 00:00 [accepted] PHST- 2020/07/07 06:00 [pubmed] PHST- 2021/10/26 06:00 [medline] PHST- 2020/07/07 06:00 [entrez] PHST- 2021/06/29 00:00 [pmc-release] AID - 10.1111/biom.13322 [doi] PST - ppublish SO - Biometrics. 2021 Jun;77(2):573-586. doi: 10.1111/biom.13322. Epub 2020 Jul 18.