Simulated Intervention on Cross-Sectional Nested Data: Development of a Multilevel NIRA Approach

📅 2025-06-27
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Existing node identification algorithms (NIRAs) cannot accommodate cross-sectional nested data, limiting their applicability to causal inference in multilevel psychological networks. To address this, we propose multilevel NIRA (ml-NIRA), the first extension of NIRA to nested structures with within-group correlation. By integrating psychological network modeling with a multilevel statistical framework, ml-NIRA enables cross-level intervention simulation. It explicitly models hierarchical dependencies while preserving network sparsity and estimating inter-level causal effects. We systematically formalize ml-NIRA’s modeling workflow, parameter estimation strategy, and interpretive framework for intervention effects, validating its performance via simulation studies and empirical analysis. This work substantially broadens the scope of causal inference in psychological networks, offering a reproducible and interpretable computational tool for mechanistic investigation in multilevel contexts—such as education and clinical settings—while clarifying key limitations, including sensitivity to level imbalance and model misspecification.

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📝 Abstract
With the rise of the network perspective, researchers have made numerous important discoveries over the past decade by constructing psychological networks. Unfortunately, most of these networks are based on cross-sectional data, which can only reveal associations between variables but not their directional or causal relationships. Recently, the development of the nodeIdentifyR algorithm (NIRA) technique has provided a promising method for simulating causal processes based on cross-sectional network structures. However, this algorithm is not capable of handling cross-sectional nested data, which greatly limits its applicability. In response to this limitation, the present study proposes a multilevel extension of the NIRA algorithm, referred to as multilevel NIRA. We provide a detailed explanation of the algorithm's core principles and modeling procedures. Finally, we discuss the potential applications and practical implications of this approach, as well as its limitations and directions for future research.
Problem

Research questions and friction points this paper is trying to address.

Identifies causal relationships in cross-sectional nested data
Extends NIRA algorithm to multilevel network analysis
Addresses limitations in simulating directional psychological networks
Innovation

Methods, ideas, or system contributions that make the work stand out.

Extends NIRA to multilevel nested data
Simulates causal processes cross-sectionally
Details algorithm principles and modeling
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Yiming Wu
Yiming Wu
HKU | ZJU
Computer Vision and Machine Learning
F
Fei Wang
CAS Key Laboratory of Behavioral Science, Institute of Psychology, 100101, Beijing, China; Department of Psychology, University of Chinese Academy of Sciences, 100049, Beijing, China