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Updated: Nov 15, 2025

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Published on: May 27, 2020
Optimal Dataset Sizes for Constant Optimization in Published Theoretical Optical Formulae
Achim Langenbucher1, Michael Schwemm1, Timo Eppig1
1Department of Experimental Ophthalmology, Saarland University, Homburg/Saar, Germany.
Abstract:
Purpose: To determine the optimal number of data points required for optimization of formulae for classical lens power calculation.Methods: A large dataset of preoperative biometric values was used to assess the convergence of formula constants in a number of established intraocular lens power calculation formulae.Results: In formulae with a single constant, 80-100 clinical data points are sufficient to obtain convergence. The Haigis formula (three constants) requires 200-300 data points although refractive error converges more rapidly.Conclusions: In all formulae, 80-100 clinical data points are sufficient to achieve a stable mean refractive error.
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