Children can solve Bayesian problems: the role of representation in mental computation
@article{Zhu2006ChildrenCS, title={Children can solve Bayesian problems: the role of representation in mental computation}, author={Liqi Zhu and Gerd Gigerenzer}, journal={Cognition}, year={2006}, volume={98}, pages={287-308} }
147 Citations
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The results of the four experiments show that natural frequency resulted in much better estimates than probabilities, and the context of a problem influences people’s ability to solve a Bayesian problem.
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Proportional reasoning abilities correlate with working memory, approximate number system, and subitizing skills, and younger children's proportional reasoning was more accurate when they were presented with icon arrays.
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References
SHOWING 1-10 OF 78 REFERENCES
How to Improve Bayesian Reasoning Without Instruction: Frequency Formats
- Computer Science
- 1995
By analyzing several thousand solutions to Bayesian problems, the authors found that when information was presented in frequency formats, statistically naive participants derived up to 50% of all inferences by Bayesian algorithms.
Solving probabilistic and statistical problems: a matter of information structure and question form
- Computer ScienceCognition
- 2001
Representation facilitates reasoning: what natural frequencies are and what they are not
- PsychologyCognition
- 2002
Children's probability intuitions: understanding the expected value of complex gambles.
- PsychologyChild development
- 2001
Functional understanding of probability and expected value in children as young as 5 or 6 is demonstrated, contributing to the growing evidence on children's intuitive reasoning competence.
Individuation, counting, and statistical inference: The role of frequency and whole-object representations in judgment under uncertainty
- Psychology
- 1998
Evolutionary approaches to judgment under uncertainty have led to new data showing that untutored subject reliably produce judgments that conform to may principles of probability theory when (a) they…
Are humans good intuitive statisticians after all? Rethinking some conclusions from the literature on judgment under uncertainty
- PsychologyCognition
- 1996
Children's construction of fair chances: adjusting probabilities.
- PsychologyDevelopmental psychology
- 1998
A probability-adjustment task was presented to 6-14-year-old children, and the results indicate that only at around the age of 13 did most children proportionally integrate the 2 dimensions (i.e., the numbers of winning and losing beads).
Children's judgments of expected value.
- Psychology
- 1994
Expected value judgments of 5-, 6-, 8-, and 10-year-olds were studied by using an information integration approach. Children saw roulette-type games with prizes of crayons. They made judgments on a…
Simplifying Bayesian Inference: The General Case
- Computer Science
- 1999
The concept of Markov frequencies generalizes Gigerenzer & Hoffrageas anatural frequencies, which are known to foster insight in Bayesian situations with one cue, and allow to visualize Bayesian inference problems even with an arbitrary number of cues.