Polar value analysis of refractive data

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Abstract
Purpose: To demonstrate the use of polar value analysis of surgically induced astigmatism (SIA). Setting: Department of Ophthalmology, Århus University Hospital, Århus, Denmark. Methods: Univariate polar value analysis of SIA was demonstrated for a single patient and for aggregate data. Bivariate polar value analysis was performed for aggregate data. Results: The meridional polar value AKP expresses the surgically induced flattening, while the oblique polar value AKP(+45) indicates the torque. This pair of polar values characterizes a regular astigmatism completely. In bivariate polar value analysis, the average SIA is the combined mean for AKP and AKP(+45), while the spread is a confidence area delineated by an ellipse. Conclusions: Univariate and bivariate polar value analyses, together with the surgically induced change in spherical equivalent power, yield an exact description of surgically induced change following refractive procedures.

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