Submitted:
22 May 2026
Posted:
25 May 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Study Design and Participants
- age ≥18 years,
- clinical diagnosis or suspicion of oculomotor disorder (e.g., strabismus, cranial nerve palsy, or mechanical restriction)
- best-corrected visual acuity of at least 0.5 (decimal) in each eye, and
- sufficient cognitive ability to understand and perform the tests.
2.2. Sample Size Considerations
2.3. Instrumentation
2.4. Scale Standardization Between Methods
2.5. Experimental Procedure
2.6. Data Structure and Variables
- agreement between methods at the level of individual gaze positions,
- within-method repeatability, and
- the influence of gaze position on measurement variability.
2.7. Statistical Analysis
2.7.1. Agreement Analysis
2.7.2. Repeatability Analysis
2.7.3. Comparison Between Methods
2.7.4. Mixed-Effects Modeling
2.7.5. Handling of Measurement Scale
3. Results
3.1. Sample Characteristics
3.2. Agreement Between Conventional Hess-Lancaster and VR-Based Hess-Lancaster Assessment
3.3. Agreement According to Diagnostic Gaze Position
3.4. Within-Method Repeatability
3.5. Mixed-Effects Model Analysis
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AI | Artificial intelligence |
| BA | Bland–Altman |
| CCC | Concordance correlation coefficient |
| CI | Confidence interval |
| ICC | Intraclass correlation coefficient |
| LoA | Limits of agreement |
| ML | Machine learning |
| SD | Standard deviation |
| S1 | First session |
| S2 | Second session |
| VR | Virtual reality |
| Δ | Prism diopters |
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| Eye | Mean CCC | Mean difference (bias), Δ | 95% LoA, Δ | Median difference, Δ | Mean absolute difference, Δ |
|---|---|---|---|---|---|
| Right eye | 0.57 | 1.22 | −17.46 to 19.89 | 0.00 | 4.78 |
| Left eye | 0.57 | 0.10 | −18.44 to 18.64 | −0.06 | 4.59 |
| Gaze position/component | Mean CCC | Mean difference, Δ |
Median difference, Δ |
Mean absolute difference, Δ |
|---|---|---|---|---|
| Lower gaze, y-axis | 0.84 | -0.56 | 0.00 | 2.06 |
| Upper gaze, x-axis | 0.73 | -0.32 | 0.00 | 4.36 |
| Upper gaze, y-axis | 0.72 | -0.72 | 0.00 | 2.90 |
| Central gaze, y-axis | 0.70 | -0.67 | 0.00 | 3.09 |
| Right gaze, y-axis | 0.70 | 0.38 | 0.00 | 3.06 |
| Upper-left gaze, x-axis | 0.44 | 0.70 | -0.50 | 7.06 |
| Left gaze, x-axis | 0.43 | -0.05 | 0.00 | 5.64 |
| Upper-left gaze, y-axis | 0.41 | 2.26 | 0.00 | 6.40 |
| Lower-left gaze, y-axis | 0.36 | 1.98 | 0.00 | 4.18 |
| Method | Eye | n | Mean S1, Δ | Mean S2, Δ | Mean difference S2–S1, Δ | Mean absolute difference, Δ | p-value | ICC(A,1) | 95% CI ICC |
|---|---|---|---|---|---|---|---|---|---|
| Conventional Hess-Lancaster | Right eye | 16 | 4.60 | 4.21 | −0.39 | 1.47 | 0.6948 | 0.73 | 0.61–0.82 |
| Conventional Hess-Lancaster | Left eye | 16 | 4.58 | 3.98 | −0.61 | 1.56 | 1.0000 | 0.71 | 0.59–0.81 |
| VR-based Hess-Lancaster assessment (Dicopt Pro) | Right eye | 14 | 4.90 | 6.92 | 2.02 | 2.31 | 0.0159 | 0.62 | 0.51–0.74 |
| VR-based Hess-Lancaster assessment (Dicopt Pro) | Left eye | 14 | 6.15 | 6.31 | 0.17 | 1.46 | 0.5751 | 0.83 | 0.74–0.91 |
| Effect | Estimate, Δ | 95% CI | p-value | Interpretation |
|---|---|---|---|---|
| Method effect, right eye | 1.22 | 0.52 to 1.91 | 0.001 | Dicopt Pro showed slightly higher values than conventional Hess-Lancaster |
| Method × left eye interaction | -1.11 | -2.10 to -0.13 | 0.026 | The method-related difference was smaller for the left eye |
| Estimated method effect, left eye | 0.10 | -0.59 to 0.80 | 0.772 | No significant systematic difference between methods |
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