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Modeling the left digit effect in adult number line estimation.
Andrea L Patalano1, Kelsey Kayton1, Hilary Barth1
1Department of Psychology, Wesleyan University, United States.
Cognition
|October 13, 2022
Summary
New models better explain number line estimation by accounting for the left digit effect, improving our understanding of numerical cognition. This bias causes numerals with different leading digits to be spaced inaccurately on number lines.
Area of Science:
- Cognitive Psychology
- Neuroscience
- Mathematics Education
Background:
- Number line estimation tasks assess numerical cognition.
- Adult performance shows cyclical over- and underestimation patterns, explained by cyclical power models.
- A recently observed left digit effect, where numerals with different leading digits are spaced inaccurately, is not yet modeled.
Purpose of the Study:
- To compare the fit of the standard cyclical power model with two modified versions incorporating the left digit effect.
- To investigate how the left digit bias impacts number line estimation.
Main Methods:
- Adult estimates (N=60) for all numerals on a 0-100 number line task were collected.
- The standard cyclical power model was compared against two modified models.
- Modified models included parameters to underweight digit place values, specifically addressing the left digit effect.
Main Results:
- Both modified models provided a significantly better fit to individual and median data than the standard cyclical power model.
- The modifications suggest that the left digit effect systematically influences number line placements.
- The data indicate that the left digit bias impacts estimates across the entire number line.
Conclusions:
- Modified cyclical power models offer a superior explanation for number line estimation data by incorporating the left digit effect.
- The left digit effect is a crucial factor in understanding systematic biases in numerical cognition.
- Further research can explore the cognitive underpinnings and implications of this bias.
