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Updated: Jun 4, 2026

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Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments
Published on: January 23, 2017
A model for the time-order error in contrast discrimination.
Rocı O Alcala-Quintana1, Miguel A Garcı A-Perez
1Facultad de Psicología, Universidad Complutense, Madrid, Spain.
Summary
Time-order errors occur in discrimination experiments, where stimulus presentation order affects perceived magnitude. This study models sensory and procedural factors causing these errors, explaining why the balance condition often fails.
Area of Science:
- Psychophysics
- Cognitive Psychology
- Sensory Perception
Background:
- Two-interval forced-choice discrimination experiments involve comparing stimulus magnitudes across sequential intervals.
- Signal detection theory predicts order independence (balance condition), but time-order errors (systematic underestimation) are consistently observed.
- Time-order errors, described by Fechner, challenge standard psychophysical models.
Purpose of the Study:
- To investigate sensory and procedural factors contributing to time-order errors in discrimination tasks.
- To develop a formal model explaining how presentation order influences performance despite a single underlying mechanism.
- To test the hypothesis that time-order errors arise from specific sensory and procedural contaminants.
Main Methods:
- Analysis of sensory factors like temporary desensitization.
- Examination of procedural factors such as short interstimulus/intertrial intervals and response bias.
- Derivation of a formal model to predict performance variations based on presentation order.
- Experimental validation of the model and the failure of the balance condition.
Main Results:
- Empirical data consistently violate the balance condition, confirming the presence of time-order errors.
- The proposed model successfully explains how sensory and procedural factors lead to order-dependent performance.
- Experimental results support the hypothesis that time-order errors result from contamination by identified factors.
Conclusions:
- Time-order errors are not artifacts but systematic effects explained by specific sensory and procedural influences.
- The derived model provides a framework for understanding and potentially mitigating order effects in psychophysical tasks.
- This research refines our understanding of perceptual comparisons and the limitations of traditional signal detection models.

