Comparative Analysis of Eighteen IOL Power Calculation Formulas Using a Modified Formula Performance Index Across
Shan Ma1, Cheng Li2, Jing Sun3
1From the Tianjin Key Laboratory of Retinal Functions and Diseases (S.M., J.S., J.Y., K.W., X.C., F.Z., and F.T.), Tianjin Branch of National Clinical Research Center for Ocular Disease, Eye Institute and School of Optometry, Tianjin Medical University Eye Hospital, Tianjin, China; Zhengda Guangming Eye Group (S.M. and X.S.), Weifang, China.
Purpose:
To evaluate the predictive accuracy of 18 intraocular lens (IOL) power calculation formulas across diverse biometric parameters using a modified formula performance index (FPI) and prediction error (PE) variability metrics.
Design:
Prospective, comparative, accuracy, and reliability analysis of IOL power calculations.
Methods:
This study included 213 cataract patients who underwent phacoemulsification with SN60WF IOL implantation. Preoperative biometry was obtained using the IOLMaster 700. Eighteen IOL power calculation formulas, including Barrett TK, Barrett Universal II, Castrop, Cooke K6, EVO 2.0, Haigis, Hoffer Q, Hoffer QST, Holladay 1, Holladay 2, Kane, Karmona, Ladas Super Formula, Nallasamy, PEARL-DGS, RBF 3.0, SRK/T, and T2, were evaluated. Predictive accuracy was assessed using FPI and standard deviation (SD) for overall performance, while root mean square error (RMSE) and subgroup-specific FPI (FPI_sub) were used for biometric subgroup analysis. Additional metrics included mean absolute error, median absolute error, and the percentage of eyes within ±0.25 D, ±0.50 D, ±0.75 D, and ±1.00 D.
Results:
Cooke K6 achieved the highest FPI (0.724) and lowest SD (0.394), followed by PEARL-DGS (FPI = 0.714, SD = 0.399) and Barrett TK (FPI = 0.710, SD = 0.411). Barrett TK had the highest percentage of eyes within ±0.25 D (54.5%). Subgroup analysis revealed that PEARL-DGS exhibited the highest accuracy in short eyes (axial length ≤22 mm, FPI_sub = 0.838, RMSE = 0.271), while Haigis performed best in long eyes (axial length ≥26 mm, FPI_sub = 0.826, RMSE = 0.336) and steep corneas (K > 46 D, FPI_sub = 0.765, RMSE = 0.350). Barrett TK ranked highest in medium-long eyes (24.5-26 mm, FPI_sub = 0.700, RMSE = 0.400) and flatter corneas (K < 42 D, FPI_sub = 0.639, RMSE = 0.382). Cooke K6 was most accurate in shallow anterior chambers (anterior chamber depth ≤ 3.0 mm, FPI_sub = 0.737, RMSE = 0.383). Traditional formulas, including Hoffer Q, Holladay 1, and SRK/T, exhibited lower accuracy and higher PE variability.
Conclusions:
Modern formulas, particularly Cooke K6, PEARL-DGS, and Barrett TK, demonstrated superior accuracy with lower PE variability than traditional formulas. Subgroup analysis highlighted the importance of biometric-driven formula selection to optimize refractive outcomes, providing a clinically reference for personalized IOL power selection.
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