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Circular statistics for analyzing changes in retinal nerve fiber layer.

Jose M Abalo-Lojo1, Manuel Arias-Gomez2, Francisco Gonzalez1

  • 1Department of Ophthalmology and Health Research Institute of Santiago de Compostela (IDIS), Complexo Hospitalario Universitario de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain; Department of Surgery, University of Santiago de Compostela, Santiago de Compostela, A Coruña, Spain; Center for Research in Molecular Medicine and Chronic Diseases (CIMUS), University of Santiago de Compostela, Santiago de Compostela, A Coruña, Spain.

Canadian Journal of Ophthalmology. Journal Canadien D'Ophtalmologie
|April 5, 2024
PubMed
Summary

Circular statistics effectively analyzed retinal nerve fibre layer (RNFL) thickness changes in eyes with and without optic neuritis (ON). This method revealed significant differences between ON and control eyes, highlighting its utility in ophthalmology.

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Area of Science:

  • Ophthalmology
  • Biostatistics
  • Neuro-ophthalmology

Background:

  • Optic neuritis (ON) can affect retinal nerve fibre layer (RNFL) thickness.
  • Analyzing directional data in RNFL thickness requires specialized statistical methods.

Purpose of the Study:

  • To evaluate the application of circular statistics for analyzing RNFL thickness.
  • To compare RNFL thickness in eyes with and without a history of ON using circular statistics.

Main Methods:

  • A single-centre study included 22 multiple sclerosis patients (28 eyes with ON history) and 20 healthy controls (40 eyes).
  • Retinal nerve fibre layer (RNFL) thickness was measured in 12 sectors around the optic nerve head in 2010 and 2015.
  • Circular statistics were employed to calculate mean weighted vectors of RNFL thickness, with comparisons made using the Mardia-Watson-Wheeler test.

Main Results:

  • Significant differences in mean weighted RNFL thickness vectors were observed between ON and control eyes in both 2010 and 2015.
  • No significant changes in RNFL thickness vectors were detected within the ON or control groups over the 5-year period.

Conclusions:

  • Circular statistics are a suitable and effective tool for analyzing directional RNFL thickness data in ophthalmology.
  • This methodology can differentiate RNFL thickness patterns between eyes with and without a history of optic neuritis.