Robustness Measurement of Comprehensive Evaluation Model Based on the Intraclass Correlation Coefficient

Shilai Xian and Li Zhang ()
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Shilai Xian: Department of Mathematic and Statistics, Yunnan University, Kunming 650000, China
Li Zhang: Department of Mathematic and Statistics, Yunnan University, Kunming 650000, China

Mathematics, 2025, vol. 13, issue 11, 1-20

Abstract: This study proposes a standardized robustness measurement framework for comprehensive evaluation models based on the Intraclass Correlation Coefficient (ICC(3,1)), The framework aims to address two key issues: (1) the non-unique evaluation results caused by the abundance of such models, and (2) the lack of standardization and the arbitrariness in existing robustness testing procedures. Theoretical derivation and simulation confirm that ICC(3,1) exhibits a positive correlation with Kendall’s Coefficient of Concordance (Kendall’s W) and a negative correlation with Root Mean Square Error (RMSE) and Normalized Inversion Index (NII), demonstrating superior stability, discrimination, and interpretability. Under increased noise levels, ICC(3,1) maintains a balance between robustness and sensitivity, supporting its application in robustness evaluation and method selection.

Keywords: ICC(3,1); robustness measurement; comprehensive evaluation model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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