Numerical comparison is spatial—Except when it is not.
Bibliographic record
Abstract
The numerical distance effect (NDE) is an important tool for probing the nature of numerical representation. Across two studies, we assessed the degree to which the NDE relates to one's performance on spatial tasks to investigate the role of spatial processing in numerical comparison and, by extension, numerical cognition. We administered numerical comparison tasks and a variety of tasks thought to tap into different aspects of spatial processing. Importantly, we administered both the simultaneous comparison task and the comparison to a standard task, given claims that the NDEs that arise in these two tasks are different. In both studies, the NDEs elicited when comparing simultaneously presented numbers were more strongly negatively correlated with an individual's performance on the spatial tasks than the NDEs elicited when comparing numbers to a standard. The implications of these data for our understanding of numerical comparison tasks and numerical cognition more generally are discussed. (PsycInfo Database Record (c) 2024 APA, all rights reserved).
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.009 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".