Ellipsoidal confidence regions for mean refractive status

W. F. Harris, D. J. Malan, A. Rubin

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


Confidence regions for mean dioptric power can be represented by ellipsoids in a three-dimensional space called h-space. A convenient graphical representation is provided by stereo-pair drawings that, at a glance, show the estimated accuracy with which the mean power is known. As an example, a sample of autorefractor measurements made on one eye were used to construct a 95% confidence ellipsoid for the mean objective refractive status of that eye. Key dimensions of the ellipsoid are compared with those of another eye. The analysis is of fundamental importance for scientific studies of variation and change of refractive status. Its potential clinical importance is also discussed.

Original languageEnglish
Pages (from-to)950-953
Number of pages4
JournalOptometry and Vision Science
Issue number12
Publication statusPublished - Dec 1991


  • Confidence regions
  • Mean dioptric power
  • Statistics of refractive error
  • Variance of dioptric power

ASJC Scopus subject areas

  • Ophthalmology
  • Optometry


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