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Extracting Summary Statistics of Rapid Numerical Sequences

We examine the ability of observers to extract summary statistics (such as the mean and the relative-variance) from rapid numerical sequences of two digit numbers presented at a rate of 4/s. In four experiments (total N = 100), we find that the participants show a remarkable ability to extract such...

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Autores principales: Rosenbaum, David, Glickman, Moshe, Usher, Marius
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8517333/
https://www.ncbi.nlm.nih.gov/pubmed/34659010
http://dx.doi.org/10.3389/fpsyg.2021.693575
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author Rosenbaum, David
Glickman, Moshe
Usher, Marius
author_facet Rosenbaum, David
Glickman, Moshe
Usher, Marius
author_sort Rosenbaum, David
collection PubMed
description We examine the ability of observers to extract summary statistics (such as the mean and the relative-variance) from rapid numerical sequences of two digit numbers presented at a rate of 4/s. In four experiments (total N = 100), we find that the participants show a remarkable ability to extract such summary statistics and that their precision in the estimation of the sequence-mean improves with the sequence-length (subject to individual differences). Using model selection for individual participants we find that, when only the sequence-average is estimated, most participants rely on a holistic process of frequency based estimation with a minority who rely on a (rule-based and capacity limited) mid-range strategy. When both the sequence-average and the relative variance are estimated, about half of the participants rely on these two strategies. Importantly, the holistic strategy appears more efficient in terms of its precision. We discuss implications for the domains of two pathways numerical processing and decision-making.
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spelling pubmed-85173332021-10-16 Extracting Summary Statistics of Rapid Numerical Sequences Rosenbaum, David Glickman, Moshe Usher, Marius Front Psychol Psychology We examine the ability of observers to extract summary statistics (such as the mean and the relative-variance) from rapid numerical sequences of two digit numbers presented at a rate of 4/s. In four experiments (total N = 100), we find that the participants show a remarkable ability to extract such summary statistics and that their precision in the estimation of the sequence-mean improves with the sequence-length (subject to individual differences). Using model selection for individual participants we find that, when only the sequence-average is estimated, most participants rely on a holistic process of frequency based estimation with a minority who rely on a (rule-based and capacity limited) mid-range strategy. When both the sequence-average and the relative variance are estimated, about half of the participants rely on these two strategies. Importantly, the holistic strategy appears more efficient in terms of its precision. We discuss implications for the domains of two pathways numerical processing and decision-making. Frontiers Media S.A. 2021-10-01 /pmc/articles/PMC8517333/ /pubmed/34659010 http://dx.doi.org/10.3389/fpsyg.2021.693575 Text en Copyright © 2021 Rosenbaum, Glickman and Usher. https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
spellingShingle Psychology
Rosenbaum, David
Glickman, Moshe
Usher, Marius
Extracting Summary Statistics of Rapid Numerical Sequences
title Extracting Summary Statistics of Rapid Numerical Sequences
title_full Extracting Summary Statistics of Rapid Numerical Sequences
title_fullStr Extracting Summary Statistics of Rapid Numerical Sequences
title_full_unstemmed Extracting Summary Statistics of Rapid Numerical Sequences
title_short Extracting Summary Statistics of Rapid Numerical Sequences
title_sort extracting summary statistics of rapid numerical sequences
topic Psychology
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8517333/
https://www.ncbi.nlm.nih.gov/pubmed/34659010
http://dx.doi.org/10.3389/fpsyg.2021.693575
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