A review of multivariate methods of analysing refractive data with dioptric power matrices

Background: There are three components to refractive state, namely sphere, cylinder and axis. Similarly, central corneal power is also composed of three components, namely the power along the flat meridian, the power along the steep meridian and the axis of the flat meridian. Most studies that inves...

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Main Authors: Elizabeth Chetty, Alan Rubin
Format: Article
Language:English
Published: AOSIS 2022-11-01
Series:African Vision and Eye Health
Subjects:
Online Access:https://avehjournal.org/index.php/aveh/article/view/714
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author Elizabeth Chetty
Alan Rubin
author_facet Elizabeth Chetty
Alan Rubin
author_sort Elizabeth Chetty
collection DOAJ
description Background: There are three components to refractive state, namely sphere, cylinder and axis. Similarly, central corneal power is also composed of three components, namely the power along the flat meridian, the power along the steep meridian and the axis of the flat meridian. Most studies that investigate refractive data and corneal power analyse each of the three components individually rather than as a trivariate entity. In doing so, pertinent information may inadvertently be omitted. Aim: The purpose of this review is to provide a brief overview of the multivariate statistics that are available to analyse multivariate data such as dioptric power. This will enable readers to better understand research that is analysed using these methods. Method: An extensive review of databases such as Google Scholar, Science Direct and ResearchGate was done to gather publications on the topic of multivariate statistical analysis. Keywords such as multivariate statistical analysis, dioptric power, stereo-pairs, polar profiles and hypothesis testing were used to conduct the search. Results: The debate for the need to analyse dioptric power using multivariate statistical methods has been a long-standing one. For this review, more than 40 publications were analysed to provide a simplified overview of the multivariate statistical methods that can be used to analyse dioptric power. Conclusion: The use of multivariate statistical methods is a valuable tool in analysing and understanding dioptric power holistically and may provide more insights for research involving refractive error and corneal power.
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spelling doaj.art-73522b3e765d42be91c9afe66782e3602022-12-22T04:17:03ZengAOSISAfrican Vision and Eye Health2413-31832410-15162022-11-01811e1e810.4102/aveh.v81i1.714528A review of multivariate methods of analysing refractive data with dioptric power matricesElizabeth Chetty0Alan Rubin1Department of Optometry, Faculty of Health Sciences, University of Johannesburg, JohannesburgDepartment of Optometry, Faculty of Health Sciences, University of Johannesburg, JohannesburgBackground: There are three components to refractive state, namely sphere, cylinder and axis. Similarly, central corneal power is also composed of three components, namely the power along the flat meridian, the power along the steep meridian and the axis of the flat meridian. Most studies that investigate refractive data and corneal power analyse each of the three components individually rather than as a trivariate entity. In doing so, pertinent information may inadvertently be omitted. Aim: The purpose of this review is to provide a brief overview of the multivariate statistics that are available to analyse multivariate data such as dioptric power. This will enable readers to better understand research that is analysed using these methods. Method: An extensive review of databases such as Google Scholar, Science Direct and ResearchGate was done to gather publications on the topic of multivariate statistical analysis. Keywords such as multivariate statistical analysis, dioptric power, stereo-pairs, polar profiles and hypothesis testing were used to conduct the search. Results: The debate for the need to analyse dioptric power using multivariate statistical methods has been a long-standing one. For this review, more than 40 publications were analysed to provide a simplified overview of the multivariate statistical methods that can be used to analyse dioptric power. Conclusion: The use of multivariate statistical methods is a valuable tool in analysing and understanding dioptric power holistically and may provide more insights for research involving refractive error and corneal power.https://avehjournal.org/index.php/aveh/article/view/714multivariate statistical analysisdioptric power spacedioptric powerstereo-pairspolar profileshypothesis testing
spellingShingle Elizabeth Chetty
Alan Rubin
A review of multivariate methods of analysing refractive data with dioptric power matrices
African Vision and Eye Health
multivariate statistical analysis
dioptric power space
dioptric power
stereo-pairs
polar profiles
hypothesis testing
title A review of multivariate methods of analysing refractive data with dioptric power matrices
title_full A review of multivariate methods of analysing refractive data with dioptric power matrices
title_fullStr A review of multivariate methods of analysing refractive data with dioptric power matrices
title_full_unstemmed A review of multivariate methods of analysing refractive data with dioptric power matrices
title_short A review of multivariate methods of analysing refractive data with dioptric power matrices
title_sort review of multivariate methods of analysing refractive data with dioptric power matrices
topic multivariate statistical analysis
dioptric power space
dioptric power
stereo-pairs
polar profiles
hypothesis testing
url https://avehjournal.org/index.php/aveh/article/view/714
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