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Clinical Research | Open Access

Functional generalized estimating equation model to detect glaucomatous visual field progression

Sanghun Jeong1, Hwayeong Kim2, Sangwoo Moon3, EunAh Kim4, Hojin Yang1( ), Jiwoong Lee2,5( ), Kouros Nouri-Mahdavi6
Department of Statistics, Pusan National University, Busan 46241, Republic of Korea
Department of Ophthalmology, Pusan National University College of Medicine, Busan 49241, Republic of Korea
Department of Ophthalmology, Pusan National University Yangsan Hospital, Yangsan 49241, Republic of Korea
Department of Ophthalmology, Samsung Changwon Hospital, Sungkyunkwan University School of Medicine, Changwon 51353, Republic of Korea
Biomedical Research Institute, Pusan National University Hospital, Busan 49241, Republic of Korea
Glaucoma Division, Stein Eye Institute, David Geffen School of Medicine, University of California Los Angeles, Los Angeles, CA 900095, USA
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Abstract

AIM

To build a functional generalized estimating equation (GEE) model to detect glaucomatous visual field progression and compare the performance of the proposed method with that of commonly employed algorithms.

METHODS

Totally 716 eyes of 716 patients with primary open angle glaucoma (POAG) with at least 5 reliable 24-2 test results and 2y of follow-up were selected. The functional GEE model was used to detect perimetric progression in the training dataset (501 eyes). In the testing dataset (215 eyes), progression was evaluated the functional GEE model, mean deviation (MD) and visual field index (VFI) rates of change, Advanced Glaucoma Intervention Study (AGIS) and Collaborative Initial Glaucoma Treatment Study (CIGTS) scores, and pointwise linear regression (PLR).

RESULTS

The proposed method showed the highest proportion of eyes detected as progression (54.4%), followed by the VFI rate (34.4%), PLR (23.3%), and MD rate (21.4%). The CIGTS and AGIS scores had a lower proportion of eyes detected as progression (7.9% and 5.1%, respectively). The time to detection of progression was significantly shorter for the proposed method than that of other algorithms (adjusted P≤0.019). The VFI rate displayed moderate pairwise agreement with the proposed method (k=0.47).

CONCLUSION

The functional GEE model shows the highest proportion of eyes detected as perimetric progression and the shortest time to detect perimetric progression in patients with POAG.

References

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International Journal of Ophthalmology
Pages 302-311

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Cite this article:
Jeong S, Kim H, Moon S, et al. Functional generalized estimating equation model to detect glaucomatous visual field progression. International Journal of Ophthalmology, 2026, 19(2): 302-311. https://doi.org/10.18240/ijo.2026.02.12

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Received: 08 February 2025
Accepted: 26 May 2025
Published: 18 February 2026
© 2026 International Journal of Ophthalmology Press

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).