Determination of Personalized IOL-Constants for the Haigis Formula under Consideration of Measurement Precision
The capabilities of a weighted least squares approach for the optimization of the intraocular lens (IOL) constants for the Haigis formula are studied in comparison to an ordinary least squares approach. The weights are set to the inverse variances of the effective optical anterior chamber depth. The...
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description | The capabilities of a weighted least squares approach for the optimization of the intraocular lens (IOL) constants for the Haigis formula are studied in comparison to an ordinary least squares approach. The weights are set to the inverse variances of the effective optical anterior chamber depth. The effect of random measurement noise is simulated 100000 times using data from N = 69 cataract patients and the measurement uncertainty of two different biometers. A second, independent data set (N = 33) is used to show the differences that can be expected between both methods. The weighted least squares formalism reduces the effect of measurement error on the final constants. In more than 64% it will result in a better approximation, if the measurement errors are estimated correctly. The IOL constants can be calculated with higher precision using the weighted least squares method. |
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The IOL constants can be calculated with higher precision using the weighted least squares method.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0158988</identifier><identifier>PMID: 27391100</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Anterior chamber ; Biology and Life Sciences ; Biometrics ; Care and treatment ; Cataracts ; Cornea ; Error analysis ; Humans ; Interferometry ; Intraocular lenses ; Least squares method ; Lens, Crystalline ; Medicine and Health Sciences ; Models, Theoretical ; Noise ; Noise measurement ; Optimization ; Optometry - methods ; Physical Sciences ; Physiological aspects ; Tomography ; Transplants & implants</subject><ispartof>PloS one, 2016-07, Vol.11 (7), p.e0158988-e0158988</ispartof><rights>COPYRIGHT 2016 Public Library of Science</rights><rights>2016 Schröder et al. 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The weights are set to the inverse variances of the effective optical anterior chamber depth. The effect of random measurement noise is simulated 100000 times using data from N = 69 cataract patients and the measurement uncertainty of two different biometers. A second, independent data set (N = 33) is used to show the differences that can be expected between both methods. The weighted least squares formalism reduces the effect of measurement error on the final constants. In more than 64% it will result in a better approximation, if the measurement errors are estimated correctly. The IOL constants can be calculated with higher precision using the weighted least squares method.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>27391100</pmid><doi>10.1371/journal.pone.0158988</doi><orcidid>https://orcid.org/0000-0002-6406-7795</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Anterior chamber Biology and Life Sciences Biometrics Care and treatment Cataracts Cornea Error analysis Humans Interferometry Intraocular lenses Least squares method Lens, Crystalline Medicine and Health Sciences Models, Theoretical Noise Noise measurement Optimization Optometry - methods Physical Sciences Physiological aspects Tomography Transplants & implants |
title | Determination of Personalized IOL-Constants for the Haigis Formula under Consideration of Measurement Precision |
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