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Using Instrumental Variables to Measure Causation over Time in Cross-Lagged Panel Models

2024/02/15 by Madhurbain Singh, Brad Verhulst, Philip Vinh +14 · 18 citations
Economics, Econometrics and Finance · Mathematics · Social Sciences · #Advanced Causal Inference Techniques #Artificial intelligence #Causal inference #Causal model #Causality (physics) #Causation #Computer science #Data mining #Econometrics #Economics #Estimation #Inference #Instrumental variable #Intergenerational and Educational Inequality Studies #Interval (graph theory) #Mathematics #Measure (data warehouse) #Multivariate statistics #Panel data #Spatial and Panel Data Analysis #Statistics #Variables

paper · pdf · doi:10.1080/00273171.2023.2283634

published in Multivariate Behavioral Research 59(2), 342-370 (Taylor & Francis)

openalex publication_date 2024/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Cross-lagged panel models (CLPMs) are commonly used to estimate causal influences between two variables with repeated assessments. The lagged effects in a CLPM depend on the time interval between assessments, eventually becoming undetectable at longer intervals. To address this limitation, we incorporate instrumental variables (IVs) into the CLPM with two study waves and two variables. Doing so enables estimation of both the lagged (i.e., "distal") effects and the bidirectional cross-sectional (i.e., "proximal") effects at each wave. The distal effects reflect Granger-causal influences across time, which decay with increasing time intervals. The proximal effects capture causal influences that accrue over time and can help infer causality when the distal effects become undetectable at longer intervals. Significant proximal effects, with a negligible distal effect, would imply that the time interval is too long to estimate a lagged effect at that time interval using the standard CLPM. Through simulations and an empirical application, we demonstrate the impact of time intervals on causal inference in the CLPM and present modeling strategies to detect causal influences regardless of the time interval in a study. Furthermore, to motivate empirical applications of the proposed model, we highlight the utility and limitations of using genetic variables as IVs in large-scale panel studies.

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