Correlation analysis and multiple regression formulas of refractive errors and ocular components
The multiple regression formulas and correlation of ocular components with refractive errors are presented by Gaussian optics. The refractive error changing rate for the cornea and lens power, the axial length, anterior chamber depth (ACD) and vitreous chamber depth (VCD) are calculated, including n...
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doaj-54c4abc657fa476683cee07b777411de2020-11-25T02:44:09ZengPress of International Journal of Ophthalmology (IJO PRESS)International Journal of Ophthalmology2222-39592227-48982019-05-0112585886110.18240/ijo.2019.05.26Correlation analysis and multiple regression formulas of refractive errors and ocular componentsChao-Kai Chang0Jui-Teng Lin1Yong Zhang2Nobel Eye Institute, Taipei 100, Taiwan, ChinaNew Vision Inc., Taipei 103, Taiwan, China; Gong-Rui Medical Technology, Xiamen 361000, Fujian Province, ChinaDepartment of Ophthalmology, Shandong Provincial Hospital, Shandong University, Jinan 250021, Shandong Province, ChinaThe multiple regression formulas and correlation of ocular components with refractive errors are presented by Gaussian optics. The refractive error changing rate for the cornea and lens power, the axial length, anterior chamber depth (ACD) and vitreous chamber depth (VCD) are calculated, including nonlinear terms for more accurate rate functions than the linear theory. Our theory, consistent with the empirical data, shows that the Pearson correlation coefficients for spherical equivalent (SE) and ocular components are highest for SE with axial length, ACD and VCD and weakest for corneal power, lens power and lens thickness. Moreover, our regression formulas show the asymmetric feature of the correlation that the axial length, ACD and VCD are more strongly correlated (with higher negative regression constants) with refractive errors in eyes with hyperopia than in eyes with myopia, particularly for severe hyperopia.http://www.ijo.cn/en_publish/2019/5/20190526.pdfhuman eye ocular componentsrefractive errorsregression formulascorrelation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chao-Kai Chang Jui-Teng Lin Yong Zhang |
spellingShingle |
Chao-Kai Chang Jui-Teng Lin Yong Zhang Correlation analysis and multiple regression formulas of refractive errors and ocular components International Journal of Ophthalmology human eye ocular components refractive errors regression formulas correlation |
author_facet |
Chao-Kai Chang Jui-Teng Lin Yong Zhang |
author_sort |
Chao-Kai Chang |
title |
Correlation analysis and multiple regression formulas of refractive errors and ocular components |
title_short |
Correlation analysis and multiple regression formulas of refractive errors and ocular components |
title_full |
Correlation analysis and multiple regression formulas of refractive errors and ocular components |
title_fullStr |
Correlation analysis and multiple regression formulas of refractive errors and ocular components |
title_full_unstemmed |
Correlation analysis and multiple regression formulas of refractive errors and ocular components |
title_sort |
correlation analysis and multiple regression formulas of refractive errors and ocular components |
publisher |
Press of International Journal of Ophthalmology (IJO PRESS) |
series |
International Journal of Ophthalmology |
issn |
2222-3959 2227-4898 |
publishDate |
2019-05-01 |
description |
The multiple regression formulas and correlation of ocular components with refractive errors are presented by Gaussian optics. The refractive error changing rate for the cornea and lens power, the axial length, anterior chamber depth (ACD) and vitreous chamber depth (VCD) are calculated, including nonlinear terms for more accurate rate functions than the linear theory. Our theory, consistent with the empirical data, shows that the Pearson correlation coefficients for spherical equivalent (SE) and ocular components are highest for SE with axial length, ACD and VCD and weakest for corneal power, lens power and lens thickness. Moreover, our regression formulas show the asymmetric feature of the correlation that the axial length, ACD and VCD are more strongly correlated (with higher negative regression constants) with refractive errors in eyes with hyperopia than in eyes with myopia, particularly for severe hyperopia. |
topic |
human eye ocular components refractive errors regression formulas correlation |
url |
http://www.ijo.cn/en_publish/2019/5/20190526.pdf |
work_keys_str_mv |
AT chaokaichang correlationanalysisandmultipleregressionformulasofrefractiveerrorsandocularcomponents AT juitenglin correlationanalysisandmultipleregressionformulasofrefractiveerrorsandocularcomponents AT yongzhang correlationanalysisandmultipleregressionformulasofrefractiveerrorsandocularcomponents |
_version_ |
1724767150442283008 |