title: Nonlinear Trend Analysis of Longitudinal Pointwise Visual Field Sensitivity in Suspected and Early Glaucoma.
abstract: OBJECTIVE
  We have shown previously that a nonlinear exponential model fits longitudinal series of mean deviation (MD) better than a linear model. This study extends that work to investigate the mode (linear versus nonlinear) of change for pointwise sensitivities.
  
  
  METHODS
  Data from 475 eyes of 244 clinically managed participants were analyzed. Sensitivity estimates at each test location were fitted using two-level linear and nonlinear mixed effects models. Sensitivity on the last test date was forecast using a model fit from the earlier test dates in the series. The means of the absolute prediction errors were compared to assess accuracy, and the root means square (RMS) of the prediction errors were compared to assess precision.
  
  
  RESULTS
  Overall, the exponential model provided a significantly better fit (P< 0.05) to the data at the majority of test locations (69%). The exponential model fitted the data significantly better at 85% of locations in the upper hemifield and 58% of locations in the lower hemifield. The rate of visual field (VF) deterioration in the upper hemifield was more rapid (mean, -0.21 dB/y; range, -0.28 to -0.13) than in the lower hemifield (mean, -0.14 dB/y; range, -0.2 to -0.09).
  
  
  CONCLUSIONS
  An exponential model may more accurately track pointwise VF change, at locations damaged by glaucoma. This was more noticeable in the upper hemifield where the VF changed more rapidly. However, linear and exponential models were similar in their ability to forecast future VF status.
  
  
  CONCLUSIONS
  The VF progression appears to accelerate in early glaucoma patients.
authors.affiliation: Department of Mathematics and Statistics, Murray State University, Murray, KY, USA.
authors.forename: Manoj
authors.initials: M
authors.lastname: Pathak
authors.affiliation: Devers Eye Institute, Legacy Health, 1225 NE 2nd Ave, Portland, OR, USA.
authors.forename: Shaban
authors.initials: S
authors.lastname: Demirel
authors.affiliation: Devers Eye Institute, Legacy Health, 1225 NE 2nd Ave, Portland, OR, USA.
authors.forename: Stuart K
authors.initials: SK
authors.lastname: Gardiner
keywords: Analysis; Perimetry; Progression