TESTING HYPOTHESES ON DIOPTRIC POWER

被引：34
作者：
HARRIS, WF
机构：
[1] Department of Optometry, Rand Afrikaans University, Johannesburg
来源：
OPTOMETRY AND VISION SCIENCE | 1992年 / 69卷 / 11期
关键词：
STATISTICS OF DIOPTRIC POWER; MEAN; VARIANCE-COVARIANCE; HYPOTHESIS TESTING; DIOPTRIC POWER MATRIX; VECTOR-H; NORMALITY; SCATTER PLOTS;
D O I：
10.1097/00006324-199211000-00002
中图分类号：
R77 [眼科学];
学科分类号：
100212 ;
摘要：
Transformation of dioptric power from the conventional clinical representation as sphere, cylinder, and axis to the vectorial representation known as the vector h makes it possible to apply formal multivariate statistical methods to dioptric power. Methods are described for testing hypotheses on mean dioptric power and on variance-covariance of dioptric power for one and more than one population. A number of numerical examples are presented. Attention is drawn to the underlying assumption of multivariate normality, to other limitations of the methods, and to pitfalls in the use of the methods. Three-dimensional scatter plots, shown by means of stereo-pair drawings, are useful for detecting departures from normality.
引用
收藏
页码：835 / 845
页数：11
相关论文
共 38 条
[1]  
Harris W.F., Malan D.J., Change in refraction following radial keratotomy: Outline of techniques for data analysis, S Afr Arch Ophthalmol, 17, (1992)
[2]  
Harris W.F., The mean and variance of samples of dioptric powers: The basic calculations, Clin Exp Optom, 73, pp. 89-92, (1990)
[3]  
Harris W.F., The matrix representation of dioptric power. Part 3: The average refractive error, South Afr Optom, 48, pp. 81-88, (1989)
[4]  
Saunders H., A method of determining the mean value of refractive errors, Br J Physiol Opt, 34, pp. 1-11, (1980)
[5]  
Yager A.S., The mean value of refractive errors, Ophthal Physiol Opt, 2, pp. 87-88, (1982)
[6]  
Saunders H., Author’s Reply. Ophthal Physiol Opt, 2, pp. 88-91, (1982)
[7]  
Keating M.P., On the use of matrices for the mean value of refractive errors, Ophthal Physiol Opt, 3, pp. 201-203, (1983)
[8]  
Harris W.F., Mean of a sample of equivalent dioptric powers, Optom Vis Sci, 67, pp. 359-360, (1990)
[9]  
Saunders H., The impossibility of squaring the sphero-cylinder, Ophthal Physiol Opt, 5, (1985)
[10]  
Saunders H., The algebra of sphero-cylinders, Ophthal Physiol Opt, 5, pp. 157-163, (1985)
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