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Related Concept Videos

Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
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Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
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Published on: July 30, 2019

Estimating large numbers.

David Landy1, Noah Silbert, Aleah Goldin

  • 1Department of Psychology, University of Richmond, Richmond, VA23173, USA. dhlandy@gmail.com

Cognitive Science
|July 4, 2013
PubMed
Summary
This summary is machine-generated.

Understanding large numbers like millions and trillions is challenging. Many people perceive number words as equally spaced, impacting their numerical estimations and even their judgments in geopolitical scenarios.

Keywords:
Human experimentationMathematical cognitionMathematical modelingNumber line estimationPsychologyReasoning

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Area of Science:

  • Cognitive Psychology
  • Numerical Cognition
  • Public Understanding of Science

Background:

  • Large numbers (1 million to 1 trillion) are crucial for public discourse but difficult to comprehend.
  • Existing theories predict linear or log-shaped number estimation, but empirical data for this range is limited.

Purpose of the Study:

  • To investigate how adults estimate magnitudes of large numbers (1 million to 1 trillion).
  • To explore the relationship between number estimation strategies and the evaluation of geopolitical scenarios.
  • To understand the influence of number word structure on numerical cognition.

Main Methods:

  • Adult American participants placed large numbers on a number line.
  • Participants qualitatively evaluated descriptions of imaginary geopolitical scenarios.
  • Number estimation strategies were analyzed in relation to scenario evaluations.

Main Results:

  • Approximately half of participants estimated numbers linearly.
  • A significant portion estimated numbers as if number words (thousand, million, billion, trillion) were equally spaced.
  • This 'uniformly spaced' group showed more optimistic evaluations of ineffective political strategies compared to linear estimators.

Conclusions:

  • The linguistic structure of number words significantly influences the estimation of large numerical magnitudes.
  • This linguistic influence may explain similar phenomena observed in children's numerical development.
  • Findings have implications for effective science and policy communication with the public.