Comparing Numerical Comparison Tasks: A Meta-Analysis of the Variability of the Weber Fraction Relative to the Generation Algorithm [PDF]
Frontiers in Psychology, 2018 Since more than 15 years, researchers have been expressing their interest in evaluating the Approximate Number System (ANS) and its potential influence on cognitive skills involving number processing, such as arithmetic.
Mathieu Guillaume +1 more
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Moving the weber fraction: the perceptual precision for moment of inertia increases with exploration force. [PDF]
PLoS ONE, 2012 How does the magnitude of the exploration force influence the precision of haptic perceptual estimates? To address this question, we examined the perceptual precision for moment of inertia (i.e., an object's "angular mass") under different force ...
Nienke B Debats +3 more
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Significant variations in Weber fraction for changes in inter-onset interval of a click train over the range of intervals between 5 ms and 300 ms [PDF]
Frontiers in Psychology, 2014 It is a common psychophysical experience that a train of clicks faster than ca. 30 per second is heard as one steady sound, whereas temporal patterns occurring on a slower time scale are perceptually resolved as individual auditory events.
Pekcan eUngan +2 more
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On the theory of Weber fractions [PDF]
Perception & Psychophysics, 1987 The Weber fraction is treated as part of an information theoretical view of perception. In this theory of sensory perception, subjective magnitude is related to the information transmissible from stimulus to perceiver. The derived psychophysical law can be approximated as a power or logarithmic law, depending on conditions.
Kenneth H Norwich, Norwich Kenneth H
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Haptic perception of 2.5D surface feature height [PDF]
Scientific ReportsThe present study investigates the human haptic perception of 2.5D dome-shaped surface features in terms of difference and absolute thresholds. We conducted two experiments to measure the thresholds, analyzing the effect of sample base area, or diameter,
Inwook Hwang +2 more
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Unequal Weber fractions for the categorization of brief temporal intervals [PDF]
Attention, Perception, and Psychophysics, 2010 How constant is the Weber fraction (WF) for brief time intervals? This question was assessed in three experiments with two base durations (BDs), 0.2 and 1 sec, and with different ways of estimating the WF. In Experiment 1, the psychometric functions were drawn on the basis of 4, 8, or 12 comparison intervals with the shortest to longest duration ranges
Simon Grondin, Grondin Simon
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Weber’s fraction for the intensity of pure tones presented binaurally [PDF]
Perception & Psychophysics, 1972 The Weber fraction, (I + Δ)/I, was measured for pure tones which were I presented either homophasically or antiphasically. For both stimuli, the Weber fraction was measured as a function of changes in the level of the standard tone Iand in the phase angle of addition between a test tone and the standard tone.
William A Yost, Yost William A
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Sensorimotor numerosity uniquely supports arithmetic development in children [PDF]
i-PerceptionSymbolic numerical thinking is a signature human cognition, yet its foundations remain unclear. The prevailing perspective holds that numerical abilities build on a non-symbolic visual number sense that extracts numerosity from the environment.
Giovanni Anobile +4 more
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Frequency of occurrence as a psychophysical continuum: Weber’s fraction, Ekman’s fraction, range effects, and the phi-gamma hypothesis [PDF]
Perception & Psychophysics, 1976 Using the continuum of frequency of occurrence of words in English, it was found that: (1) errors in judgment are distributed lognormally rather than normally, and therefore the standard method of calculating Weber’s fraction underestimates its definition, (2) Weber’s fraction has an extremely large value of 3.3, (3)Ekman’s fraction equals 1.81, not ...
David C Rubin, Rubin David C
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A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
Filomat, 2017 Summary: On Page 36 of his ``lost'' notebook, Ramanujan recorded four \(q\)-series representations of the famous Rogers-Ramanujan continued fraction. In this paper, we establish two \(q\)-series representations of Ramanujan's continued fraction found in his ``lost'' notebook.
Chandrashekar Adiga +2 more
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