Quantification of Visual Field Variability in Glaucoma: Implications for Visual Field Prediction and Modeling

Purpose To quantify visual field (VF) variability as a function of threshold sensitivity and location, and to compare weighted pointwise linear regression (PLR) with unweighted PLR and pointwise exponential regression (PER) for data fit and prediction ability. Methods Two datasets were used for this retrospective study. The first was used to characterize and estimate VF variability, and included a total of 4,747 eyes of 3,095 glaucoma patients with six or more VFs and 3 years or more of follow-up. After performing PER for each series, standard deviation of residuals was quantified for each decibel of sensitivity as a measure of variability. A separate dataset was used to test and compare unweighted PLR, weighted PLR, and PER for data fit and prediction, and included 261 eyes of 176 primary open-angle glaucoma patients with 10 or more VFs and 6 years or more of follow-up. Results The degree of variability changed as a function of threshold sensitivity with a zenith and a nadir at 33 and 11 dB, respectively. Variability decreased with eccentricity and was higher in the central 10° (P < 0.001). Differences among the methods for data fit were negligible. PER was the best model to predict future sensitivity values in the mid term and long term. Conclusions VF variability increases with the severity of glaucoma damage and decreases with eccentricity. Weighted linear regression neither improves model fit nor prediction. PER exhibited the best prediction ability, which is likely related to the nonlinear nature of long-term glaucomatous perimetric decay. Translational Relevance This study suggests that taking into account heteroscedasticity has no advantage in VF modeling.

[1]  Chris A. Johnson,et al.  Is There Evidence for Continued Learning Over Multiple Years in Perimetry? , 2008, Optometry and vision science : official publication of the American Academy of Optometry.

[2]  Esteban Morales,et al.  Course of Glaucomatous Visual Field Loss Across the Entire Perimetric Range. , 2016, JAMA ophthalmology.

[3]  F. Fankhauser,et al.  Differential light threshold in automated static perimetry. Factors influencing short-term fluctuation. , 1984, Archives of ophthalmology.

[4]  E. Mutlukan,et al.  The effect of refractive blur on the detection sensitivity to light offsets in the central visual field , 1994, Acta ophthalmologica.

[5]  F. Medeiros,et al.  Development of a Visual Field Simulation Model of Longitudinal Point-Wise Sensitivity Changes From a Clinical Glaucoma Cohort , 2018, Translational vision science & technology.

[6]  B C Chauhan,et al.  Test-retest variability of frequency-doubling perimetry and conventional perimetry in glaucoma patients and normal subjects. , 1999, Investigative ophthalmology & visual science.

[7]  P. Artes,et al.  Response variability in the visual field: comparison of optic neuritis, glaucoma, ocular hypertension, and normal eyes. , 2000, Investigative ophthalmology & visual science.

[8]  Richard A. Russell,et al.  Latanoprost for open-angle glaucoma (UKGTS): a randomised, multicentre, placebo-controlled trial , 2015, The Lancet.

[9]  M. Gordijn,et al.  Factors that influence standard automated perimetry test results in glaucoma: test reliability, technician experience, time of day, and season. , 2012, Investigative ophthalmology & visual science.

[10]  C. Johnson,et al.  Simulation of longitudinal threshold visual field data. , 2000, Investigative ophthalmology & visual science.

[11]  M. Wall,et al.  Effect of instructions on conventional automated perimetry. , 2000, Investigative ophthalmology & visual science.

[12]  A. Afifi,et al.  Author response: On alternative methods for measuring visual field decay: Tobit linear regression. , 2012, Investigative ophthalmology & visual science.

[13]  A. Turpin,et al.  What reduction in standard automated perimetry variability would improve the detection of visual field progression? , 2011, Investigative ophthalmology & visual science.

[14]  D E Gaasterland,et al.  The Advanced Glaucoma Intervention Study (AGIS): 1. Study design and methods and baseline characteristics of study patients. , 1994, Controlled clinical trials.

[15]  J. D. Tompkins,et al.  Characteristics of frequency-of-seeing curves in normal subjects, patients with suspected glaucoma, and patients with glaucoma. , 1993, Investigative ophthalmology & visual science.

[16]  Kouros Nouri-Mahdavi,et al.  Models of glaucomatous visual field loss. , 2014, Investigative ophthalmology & visual science.

[17]  A Heijl,et al.  Early Manifest Glaucoma Trial: design and baseline data. , 1999, Ophthalmology.

[18]  R. A. Hitchings,et al.  Modelling series of visual fields to detect progression in normal-tension glaucoma , 1995, Graefe's Archive for Clinical and Experimental Ophthalmology.

[19]  Alberto Diniz-Filho,et al.  Association Between Neurocognitive Decline and Visual Field Variability in Glaucoma , 2017, JAMA ophthalmology.

[20]  J Caprioli,et al.  Long-term fluctuation of the visual field in glaucoma. , 1992, American journal of ophthalmology.

[21]  S. Gardiner,et al.  Frequency of testing for detecting visual field progression , 2002, The British journal of ophthalmology.

[22]  Chris A Johnson,et al.  Identification of progressive glaucomatous visual field loss. , 2002, Survey of ophthalmology.

[23]  Yuko Ohno,et al.  Properties of perimetric threshold estimates from Full Threshold, SITA Standard, and SITA Fast strategies. , 2002, Investigative ophthalmology & visual science.

[24]  A. Afifi,et al.  Comparison of regression models for serial visual field analysis , 2014, Japanese Journal of Ophthalmology.

[25]  G. Lindgren,et al.  Normal variability of static perimetric threshold values across the central visual field. , 1987, Archives of ophthalmology.

[26]  P. Lichter,et al.  The Collaborative Initial Glaucoma Treatment Study: study design, methods, and baseline characteristics of enrolled patients. , 1999, Ophthalmology.

[27]  D. Ruppert,et al.  Transformation and Weighting in Regression , 1988 .

[28]  A Heijl,et al.  Test-retest variability in glaucomatous visual fields. , 1989, American journal of ophthalmology.

[29]  Michael V. Boland,et al.  Evidence-based Criteria for Assessment of Visual Field Reliability. , 2017, Ophthalmology.

[30]  B J Lachenmayr,et al.  Points of a normal visual field are not statistically independent. , 1995, German journal of ophthalmology.

[31]  Richard A. Russell,et al.  New Insights into Measurement Variability in Glaucomatous Visual Fields from Computer Modelling , 2013, PloS one.

[32]  Koenraad A Vermeer,et al.  Robust and censored modeling and prediction of progression in glaucomatous visual fields. , 2013, Investigative ophthalmology & visual science.

[33]  P. Spry,et al.  Senescent Changes of the Normal Visual Field: an Age-Old Problem , 2001, Optometry and vision science : official publication of the American Academy of Optometry.

[34]  A. Afifi,et al.  Effect of cataract extraction on the visual field decay rate in patients with glaucoma. , 2014, JAMA ophthalmology.

[35]  Ryo Asaoka,et al.  Applying "Lasso" Regression to Predict Future Visual Field Progression in Glaucoma Patients. , 2015, Investigative ophthalmology & visual science.

[36]  J. Flammer,et al.  Fluctuation of the differential light threshold at the border of absolute scotomas. Comparison between glaucomatous visual field defects and blind spots. , 1991, Ophthalmology.

[37]  Sophia Y. Wang,et al.  Association between visual field defects and quality of life in the United States. , 2014, Ophthalmology.

[38]  Linda M. Zangwill,et al.  Detection of Glaucoma Progression in Individuals of African Descent Compared With Those of European Descent , 2018, JAMA ophthalmology.

[39]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[40]  S. Gardiner,et al.  Examination of different pointwise linear regression methods for determining visual field progression. , 2002, Investigative ophthalmology & visual science.

[41]  S. Gardiner Differences in the Relation Between Perimetric Sensitivity and Variability Between Locations Across the Visual Field , 2018, Investigative ophthalmology & visual science.

[42]  Joseph Caprioli,et al.  The importance of rates in glaucoma. , 2008, American journal of ophthalmology.

[43]  Richard A. Russell,et al.  The relationship between variability and sensitivity in large-scale longitudinal visual field data. , 2012, Investigative ophthalmology & visual science.

[44]  Robert L. Kaufman,et al.  Heteroskedasticity in Regression: Detection and Correction , 2013 .

[45]  Anthony C. Atkinson,et al.  Robust methods for heteroskedastic regression , 2016, Comput. Stat. Data Anal..

[46]  J. Piltz,et al.  Test-retest variability in glaucomatous visual fields. , 1990, American journal of ophthalmology.

[47]  A M McKendrick,et al.  Variability components of standard automated perimetry and frequency-doubling technology perimetry. , 2001, Investigative ophthalmology & visual science.

[48]  Robert N Weinreb,et al.  Evaluating several sources of variability for standard and SWAP visual fields in glaucoma patients, suspects, and normals. , 2003, Ophthalmology.