Monte Carlo Simulation Results for Measurement Invariance Testing

949,100 Monte Carlo simulation replications accompany a methodological study on stabilizer variables for measurement invariance. The results are organized into six phases, including a core performance evaluation of 800,000 replications and sensitivity analyses. The dataset, created by Salim Yılmaz, was updated in March 2026.

Use Cases

• Analyze Type I error rates from the Phase1_TypeI_Error.csv file for Null and Moderator scenarios.
• Evaluate bootstrap iteration convergence using results in phase2A_bootstrap_convergence files for B = 500, 1000, and 2000.
• Assess noise robustness by examining the σ_ε parameter range from 0.20 to 0.70 in the phase2B_noise_trajectory data.
• Compare aggregated performance metrics like sensitivity, specificity, and AUC by condition from the phase0_summary file.
• Investigate near-moderator robustness using the β_{ξ×Z} interaction strength parameter in the phase2d_near_moderator_results.

Strengths

• Contains 949,100 total simulation replications across six distinct experimental phases.
• Core performance evaluation phase includes 800,000 replications, providing a substantial basis for statistical analysis.
• Results are aggregated by key experimental factors: number of groups (K), sample size (n), and MI severity.
• Data is provided in both CSV and RDS formats for accessibility in different analytical environments.

Limitations

• The dataset consists solely of simulation results, lacking empirical data for real-world validation.
• Specific row and column counts for individual data files are not provided in the input metadata.
• The study's focus on methodological testing may limit direct applicability to applied research without measurement invariance concerns.

Provenance

Source

figshare, accompanying the manuscript 'Stabilizer Variables for Measurement Invariance–Induced Heterogeneity: Identification Theory and Testing in Multi-Group Models'.

Collection Method

Monte Carlo simulation study, not empirical data collection.

Time Range

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Freshness

Last updated March 13, 2026.

Geography

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