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处理散光时的统计分析:不同球柱镜表示法的评估

Statistical analysis when dealing with astigmatism: assessment of different spherocylindrical notations.

作者信息

Muñoz-Escrivá L, Furlan W D

机构信息

Department of Optics, Faculty of Physics, University of Valencia, Valencia, Spain.

出版信息

Ophthalmic Epidemiol. 2001 Feb;8(1):27-37. doi: 10.1076/opep.8.1.27.1541.

DOI:10.1076/opep.8.1.27.1541
PMID:11262680
Abstract

Ophthalmic epidemiological studies frequently deal with ocular refractive errors, which are commonly expressed in the form sphere/cylinder x axis. However, this representation has been shown not to be the most suitable one for performing statistical analysis. Although alternative analytical and graphic methods to represent this kind of data have been developed, these formalisms have often gone unnoticed by researchers, despite their usefulness and versatility. Besides, there has been no discussion of how each of them fits in with a particular type of study. In this paper, several mathematical representations of dioptric power are revisited in a comprehensive way. The aim is to encourage researchers in ophthalmology and optometry to use these formalisms in their epidemiological studies, thus profiting from their exactitude and simplicity. Consequently, the emphasis is not on complicated mathematical derivations but on how to use these representations. Their potential and suitability in different applications is analyzed in detail. In addition, some examples are presented to illustrate the mathematical methods considered.

摘要

眼科流行病学研究经常涉及眼屈光不正,其通常以球镜/柱镜×轴的形式表示。然而,这种表示方式已被证明并非最适合进行统计分析。尽管已经开发出用于表示此类数据的替代分析和图形方法,但这些形式主义常常未被研究人员注意到,尽管它们具有实用性和通用性。此外,对于它们中的每一种如何适用于特定类型的研究,尚未有过讨论。在本文中,我们全面回顾了几种屈光力的数学表示方法。目的是鼓励眼科和验光领域的研究人员在其流行病学研究中使用这些形式主义,从而受益于它们的精确性和简单性。因此,重点不在于复杂的数学推导,而在于如何使用这些表示方法。详细分析了它们在不同应用中的潜力和适用性。此外,还给出了一些示例来说明所考虑的数学方法。

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1
Statistical analysis when dealing with astigmatism: assessment of different spherocylindrical notations.处理散光时的统计分析:不同球柱镜表示法的评估
Ophthalmic Epidemiol. 2001 Feb;8(1):27-37. doi: 10.1076/opep.8.1.27.1541.
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