Jt. Holladay et al., EVALUATING AND REPORTING ASTIGMATISM FOR INDIVIDUAL AND AGGREGATE DATA, Journal of cataract and refractive surgery, 24(1), 1998, pp. 57-65
Purpose: To demonstrate the proper method for evaluating and reporting
astigma tism for individual and aggregate data. Setting: University o
f Texas Medical School and Cullen Eye Institute, Baylor College of Med
icine, Houston, Texas, USA. Methods: The surgically induced refractive
change (SIRC) was determined for three data sets of patients who have
had keratorefractive (photorefractive keratectomy) or cataract surger
y. To make changes in refraction comparable, vertex distances for the
refractions and keratometric index of refraction were considered. Doub
led-angle plots and single-angle plots were then used to display the d
ata. Polar values (cylinder and axis) were converted to a Cartesian (x
and y) coordinate system to determine the mean value of the induced a
stigmatism for each data set. Results: Doubled-angle plots clearly dem
onstrated the trends of induced astigmatism for each data set, and the
mean value for induced astigmatism agreed exactly with the intuitive
appearance of the plot. Conclusions: Converting astigmatism data to a
Cartesian coordinate system allowed the correct computation of descrip
tive statistics such as mean values, standard deviations, and correlat
ion coefficients. Using doubled-angle plots to display the data provid
es the investigator with the best method of recognizing trends in the
data.