Open AccessCompression is evident in children’s unbounded and bounded numerical estimation: Reply to Cohen and Ray (2020).
Author(s) -
Dan Kim,
John E. Opfer
Publication year - 2020
Publication title -
developmental psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.318
H-Index - 213
eISSN - 1939-0599
pISSN - 0012-1649
DOI - 10.1037/dev0000886
Subject(s) - bounded function , generality , upper and lower bounds , mathematics , space (punctuation) , psycinfo , line (geometry) , psychology , computer science , mathematical analysis , geometry , medline , political science , law , psychotherapist , operating system
Kim and Opfer (2017) found that number-line estimates increased approximately logarithmically with number when an upper bound (e.g., 100 or 1000) was explicitly marked (bounded condition) and when no upper bound was marked (unbounded condition). Using procedural suggestions from Cohen and Ray (2020), we examined whether this logarithmicity might come from restrictions on the response space provided. Consistent with our previous findings, logarithmicity was evident whether tasks were bounded or unbounded, with the degree of logarithmicity tied to the numerical value of the estimates rather than the response space per se. We also found a clear log-to-linear shift in numerical estimates. Results from Bayesian modeling supported the idea that unbounded tasks are qualitatively similar to bounded ones, but unbounded ones lead to greater logarithmicity. Our findings support the original findings of Kim and Opfer (2017) and extend their generality to more age groups and more varieties of number-line estimation. (PsycINFO Database Record (c) 2020 APA, all rights reserved).