Abstract: To address issues in the validation and analysis methods of panel data-based grey relational analysis models (PD-GRA), this paper introduces various validation methods for the PD-GRA model, including Collision Testing Analysis (CTA), Stability Testing Analysis (STA), Permutation Testing Analysis (PTA), Rolling Window Time Analysis (RWTA), along with corresponding visualization techniques. These approaches are designed to analyze the robustness of grey relational analysis model (GRA). First, the concepts of strong and weak collisions for the GRA model are defined, along with their occurrences at different levels. Conclusions on strong and weak collisions are drawn for different GRA formulas. Second, STA, PTA, and RWTA are systematically presented to evaluate the stability of PD-GRA model from different perspectives. Meanwhile, visualizations for these three tests are also provided. Finally, a simulation analysis is conducted to examine the collision behavior of traditional GRA models. A case study is then used to apply STA, PTA, and RWTA to the PD-GRA model, accompanied by visualizations, offering deeper insights into the model's performance. 

Key words: Grey relational analysis, Panel data, Model validation, Visualization