Bayesian estimation yields anti-Weber variability Article Swipe
YOU?
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· 2025
· Open Access
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· DOI: https://doi.org/10.1093/pnasnexus/pgaf275
A classic result of psychophysics is that human perceptual estimates are more variable for larger magnitudes. This “Weber behavior,” however, has typically not been the focus of the prominent Bayesian paradigm. Here, we examine the variability of a Bayesian observer in comparison with human subjects. In two preregistered experiments, we manipulate the prior distribution and the reward function in a numerosity-estimation task. When large numerosities are more frequent or more rewarding, the Bayesian observer exhibits an “anti-Weber behavior,” in which larger magnitudes yield less variable responses. Human subjects exhibit a similar pattern, thus breaking a long-standing result of psychophysics. Nevertheless, subjects’ responses are best reproduced by a logarithmic encoding of magnitudes, a proposal of Fechner often regarded as accounting for Weber behavior. We thus obtain an anti-Weber behavior together with a Fechner encoding. Our results suggest that the increasing variability may be primarily due to the skewness of natural priors.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1093/pnasnexus/pgaf275
- OA Status
- gold
- References
- 79
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4413847009
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4413847009Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1093/pnasnexus/pgaf275Digital Object Identifier
- Title
-
Bayesian estimation yields anti-Weber variabilityWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
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2025-08-29Full publication date if available
- Authors
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Arthur Prat-Carrabin, Samuel J. GershmanList of authors in order
- Landing page
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https://doi.org/10.1093/pnasnexus/pgaf275Publisher landing page
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1093/pnasnexus/pgaf275Direct OA link when available
- Concepts
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Estimation, Bayesian probability, Econometrics, Bayes estimator, Statistics, Mathematics, Computer science, Economics, ManagementTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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79Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.exhibits | 75 |
| abstract_inverted_index.frequent | 68 |
| abstract_inverted_index.function | 58 |
| abstract_inverted_index.however, | 20 |
| abstract_inverted_index.observer | 40, 74 |
| abstract_inverted_index.pattern, | 92 |
| abstract_inverted_index.proposal | 113 |
| abstract_inverted_index.regarded | 117 |
| abstract_inverted_index.skewness | 147 |
| abstract_inverted_index.subjects | 88 |
| abstract_inverted_index.together | 129 |
| abstract_inverted_index.variable | 13, 85 |
| abstract_inverted_index.“Weber | 18 |
| abstract_inverted_index.behavior. | 122 |
| abstract_inverted_index.encoding. | 133 |
| abstract_inverted_index.estimates | 10 |
| abstract_inverted_index.paradigm. | 31 |
| abstract_inverted_index.primarily | 143 |
| abstract_inverted_index.prominent | 29 |
| abstract_inverted_index.responses | 102 |
| abstract_inverted_index.subjects. | 45 |
| abstract_inverted_index.typically | 22 |
| abstract_inverted_index.accounting | 119 |
| abstract_inverted_index.anti-Weber | 127 |
| abstract_inverted_index.comparison | 42 |
| abstract_inverted_index.increasing | 139 |
| abstract_inverted_index.magnitudes | 82 |
| abstract_inverted_index.manipulate | 51 |
| abstract_inverted_index.perceptual | 9 |
| abstract_inverted_index.reproduced | 105 |
| abstract_inverted_index.responses. | 86 |
| abstract_inverted_index.rewarding, | 71 |
| abstract_inverted_index.logarithmic | 108 |
| abstract_inverted_index.magnitudes, | 111 |
| abstract_inverted_index.magnitudes. | 16 |
| abstract_inverted_index.subjects’ | 101 |
| abstract_inverted_index.variability | 36, 140 |
| abstract_inverted_index.behavior,” | 19, 78 |
| abstract_inverted_index.distribution | 54 |
| abstract_inverted_index.experiments, | 49 |
| abstract_inverted_index.numerosities | 65 |
| abstract_inverted_index.Nevertheless, | 100 |
| abstract_inverted_index.long-standing | 96 |
| abstract_inverted_index.preregistered | 48 |
| abstract_inverted_index.psychophysics | 5 |
| abstract_inverted_index.“anti-Weber | 77 |
| abstract_inverted_index.psychophysics. | 99 |
| abstract_inverted_index.numerosity-estimation | 61 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.35222919 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |