Rabiolo Alessandro, Morales Esteban, Afifi Abdelmonem A, Yu Fei, Nouri-Mahdavi Kouros, Caprioli Joseph
Stein Eye Institute, David Geffen School of Medicine, University of California Los Angeles, Los Angeles, California, USA.
Department of Ophthalmology, University Vita-Salute, IRCCS San Raffaele, Milan, Italy.
Transl Vis Sci Technol. 2019 Oct 17;8(5):25. doi: 10.1167/tvst.8.5.25. eCollection 2019 Sep.
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.
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.
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° ( < 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.
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.
This study suggests that taking into account heteroscedasticity has no advantage in VF modeling.
量化视野(VF)变异性与阈值敏感性和位置的函数关系,并比较加权逐点线性回归(PLR)与未加权PLR以及逐点指数回归(PER)在数据拟合和预测能力方面的表现。
本回顾性研究使用了两个数据集。第一个用于表征和估计VF变异性,共纳入3095例青光眼患者的4747只眼,这些患者有6次或更多次视野检查结果且随访时间达3年或更长。对每个系列进行PER后,将残差的标准差按每分贝敏感性进行量化,作为变异性的度量。另一个单独的数据集用于测试和比较未加权PLR、加权PLR和PER在数据拟合和预测方面的表现,该数据集纳入176例原发性开角型青光眼患者的261只眼,这些患者有10次或更多次视野检查结果且随访时间达6年或更长。
变异性程度随阈值敏感性而变化,在33 dB和11 dB处分别有一个峰值和一个谷值。变异性随偏心度降低,在中央10°范围内更高(<0.001)。各方法在数据拟合方面的差异可忽略不计。PER是预测中期和长期未来敏感性值的最佳模型。
VF变异性随青光眼损害的严重程度增加而增加,随偏心度降低。加权线性回归既不能改善模型拟合也不能改善预测。PER表现出最佳的预测能力,这可能与长期青光眼性视野衰退的非线性性质有关。
本研究表明,在视野建模中考虑异方差性没有优势。