Bryan Susan R, Eilers Paul H C, Lesaffre Emmanuel M E H, Lemij Hans G, Vermeer Koenraad A
Rotterdam Ophthalmic Institute Rotterdam, The Netherlands 2Department of Biostatistics, Erasmus MC, Rotterdam, The Netherlands.
Department of Biostatistics, Erasmus MC, Rotterdam, The Netherlands.
Invest Ophthalmol Vis Sci. 2015 Jul;56(8):4283-9. doi: 10.1167/iovs.15-16691.
One of the difficulties in modeling visual field (VF) data is the sometimes large and correlated measurement errors in the point-wise sensitivity estimates. As these errors affect all locations of the same VF, we propose to model them as global visit effects (GVE). We evaluate this model and show the effect it has on progression estimation and prediction.
Visual field series (24-2 Full Threshold; 15 biannual VFs per patient) of 125 patients with primary glaucoma were included in the analysis. The contribution of the GVE was evaluated by comparing the fitting and predictive ability of a conventional model, which does not contain GVE, to such a model that incorporates the GVE. Moreover, the GVE's effect on the estimated slopes was evaluated by determining the absolute difference between the slopes of the models. Finally, the magnitude of the GVE was compared with that of other measurement errors.
The GVE model showed a significant improvement in both the model fit and predictive ability over the conventional model, especially when the number of VFs in a series is limited. The average absolute difference in slopes between the models was 0.13 dB/y. Lastly, the magnitude of the GVE was more than three times larger than the measureable factors combined.
By incorporating the GVE in the longitudinal modeling of VF data, better estimates may be obtained of the rate of progression as well as of predicted future sensitivities.
对视野(VF)数据进行建模的困难之一在于逐点敏感度估计中有时存在较大且相关的测量误差。由于这些误差会影响同一视野的所有位置,我们建议将其建模为全局就诊效应(GVE)。我们评估了该模型,并展示了其对进展估计和预测的影响。
分析纳入了125例原发性青光眼患者的视野系列数据(24-2全阈值;每位患者每半年进行15次视野检查)。通过比较不包含GVE的传统模型与包含GVE的模型的拟合和预测能力,评估GVE的贡献。此外,通过确定模型斜率之间的绝对差异,评估GVE对估计斜率的影响。最后,将GVE的大小与其他测量误差的大小进行比较。
与传统模型相比,GVE模型在模型拟合和预测能力方面均有显著改善,尤其是当一系列视野检查的次数有限时。模型之间斜率的平均绝对差异为0.13 dB/年。最后,GVE的大小比可测量因素之和大三倍以上。
通过将GVE纳入VF数据的纵向建模,可以更好地估计进展速度以及预测未来的敏感度。