Freiburg vision test (FrACT): optimal number of trials?

Michael Bach
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Abstract

Purpose

Visual acuity is a psychophysical threshold that we want to determine as precisely and efficiently as possible. The Freiburg Vision Test FrACT employs the automated Bayesian “Best PEST” algorithm for this purpose: the next optotype size is always selected to be at threshold based on the information acquired so far, thereby maximizing information gain.

Methods

We assessed the test–retest Limits of Agreement (LoA, Bland & Altman 1986) across 6 to 48 trials in 2 × 78 runs involving 26 participants; visual acuity (in part artificially reduced) ranged from 1.22 to -0.59 LogMAR.

Results

LoA exhibited a steep decline from ± 0.46 LogMAR at six trials to ± 0.17 at 18 trials; with more trials, LoA showed less change, reaching ± 0.12 LogMAR at 48 trials. LoA did not significantly change over the wide acuity range assessed here.

Conclusion

These findings suggest that 18 trials represent an efficient balance between precision and burden on the participant and examiner. This observation holds for the eight response alternatives used in this study (8 Landolt C orientations) and is anticipated to apply to the ten Sloan letters as well. With only four choices (e.g., tumbling E), more trials will be necessary.

Key messages

What is known

  • When assessing visual acuity, a tradeoff between precision and effort is necessary.

What is new

  • A run length of 18 trials is a good compromise between effort and precision for an 8-alternative task (the Landolt C).

  • With 18 trials a 95% confidence interval of ± 0.17 LogMAR for test–retest is found.

  • The test–retest precision is independent of the acuity level over the 1.5 LogMAR range studied here.

Abstract Image

弗莱堡视力测试(FrACT):最佳试验次数?
目的视敏度是一个心理物理阈值,我们希望尽可能精确有效地确定它。为此,弗莱堡视力测试 FrACT 采用了贝叶斯自动 "最佳 PEST "算法:根据迄今为止获得的信息,选择下一个视模大小,使其达到阈值,从而使信息增益最大化。结果LoA从6次试验时的± 0.46 LogMAR急剧下降到18次试验时的± 0.17;随着试验次数的增加,LoA的变化较小,在48次试验时达到± 0.12 LogMAR。结论:这些研究结果表明,18 次试验在精确度与受试者和考官的负担之间达到了有效的平衡。这一观察结果适用于本研究中使用的 8 个备选答案(8 个 Landolt C 方向),预计也适用于 10 个 Sloan 字母。关键信息已知信息在评估视敏度时,需要在精确度和努力程度之间做出权衡。新信息对于 8 个备选任务(Landolt C)来说,18 次试验是努力程度和精确度之间的良好折衷。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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