# Innovative Analytical Methods for Repeated Measures in the OHTS Study

> **NIH NIH R21** · WASHINGTON UNIVERSITY · 2020 · $203,498

## Abstract

Clustered or longitudinal data are commonly encountered in ophthalmology studies. Naturally, left and right
eyes of the same subject are paired and dependent. Also, in longitudinal ophthalmology studies, the multiple
measures on the same subject tend to be correlated. These correlations (or the heterogeneity between
different subjects) are usually described by two statistical models: fixed effects models and random effects
models. However, both methods have their limitations. To achieve an appropriate balance between accuracy
and efficiency, we propose a new approach in between the fixed effects and random effects models, assuming
that the heterogeneity for each subject belongs to different groups. By penalizing the fusion effects (the
differences between two subject-specific effects), we automatically group the subject-specific effects without
knowing the group membership of the subjects in advance. We thus term our method as “fusion effects”
models. We have three aims in utilizing the fusion effects model in longitudinal ophthalmology studies: (1)
propose the estimation and inference methods for fusion effects models, with application to continuous (linear),
binary (logistic), and time-to-event (Cox’s model) outcomes; (2) consider multiple fusion effects (e.g., fusion
intercept and fusion slope) and multi-level fusion effects models; (3) develop and disseminate a user-friendly
statistical software package that will enable researchers to implement these methods with ease.
To illustrate our methods, we will use the Ocular Hypertension Treatment Study Phase I and II (OHTS), a
longitudinal study with measures from both eyes of 1,636 participants followed from 1994 to 2009. The OHTS
study has multiple types of outcomes and multi-level structure, which is an ideal study for the proposed
research.

## Key facts

- **NIH application ID:** 10048263
- **Project number:** 1R21EY031884-01
- **Recipient organization:** WASHINGTON UNIVERSITY
- **Principal Investigator:** MAE O GORDON
- **Activity code:** R21 (R01, R21, SBIR, etc.)
- **Funding institute:** NIH
- **Fiscal year:** 2020
- **Award amount:** $203,498
- **Award type:** 1
- **Project period:** 2020-08-01 → 2022-07-31

## Primary source

NIH RePORTER: https://reporter.nih.gov/project-details/10048263

## Citation

> US National Institutes of Health, RePORTER application 10048263, Innovative Analytical Methods for Repeated Measures in the OHTS Study (1R21EY031884-01). Retrieved via AI Analytics 2026-05-23 from https://api.ai-analytics.org/grant/nih/10048263. Licensed CC0.

---

*[NIH grants dataset](/datasets/nih-grants) · CC0 1.0*