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Development and Testing of an Abbreviated Numeracy Scale: A Rasch Analysis Approach.

Joshua A Weller1, Nathan F Dieckmann1, Martin Tusler2

  • 1Decision Research Eugene OR USA.

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|April 22, 2020
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Summary
This summary is machine-generated.

A new, shorter numeracy scale was developed and validated. This improved measure better predicts decision-making and risk judgments compared to older scales.

Keywords:
Rasch analysiscognitive reflection testdecision makingindividual differencesnumeracy

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Area of Science:

  • Cognitive Psychology
  • Decision Science
  • Psychometrics

Background:

  • Individual differences in numeracy significantly impact decision-making.
  • Existing measures of numeracy may lack psychometric robustness or breadth.
  • Understanding numerical information, including probabilities, is crucial for informed choices.

Purpose of the Study:

  • To develop and validate a shorter, psychometrically improved measure of numeracy.
  • To assess the predictive validity of the new numeracy scale against decision-making preferences and risk judgments.
  • To present comprehensive psychometric properties of numeracy measures across diverse populations.

Main Methods:

  • Rasch analysis was employed on an 18-item pool from existing numeracy measures.
  • An eight-item numeracy scale was developed and validated across two large, independent samples.
  • Predictive validity was tested by comparing the new scale's performance against previous measures in relation to decision-making and risk judgments.

Main Results:

  • A refined eight-item numeracy scale was created, demonstrating a broader difficulty range.
  • The new Rasch-based numeracy scale showed superior predictive validity for decision-making preferences and risk judgments compared to prior measures.
  • The study provides the first psychometric evaluation of popular numeracy measures across varied age and educational demographics.

Conclusions:

  • The developed Rasch-based numeracy scale offers a psychometrically sound and efficient tool for research.
  • This improved measure enhances our understanding of the association between numeracy and decision processes.
  • The scale's validity across diverse populations makes it suitable for wide application in psychological and economic research.