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1a Department of Psychology , Uppsala University , Uppsala , Sweden.
People can effectively infer the generating distribution of continuous data, even with few observations. This intuitive statistical ability relies on comparing experienced data with new samples, supporting the Naïve Sampling Model.
Area of Science:
- Cognitive Psychology
- Statistical Inference
- Decision Making
Background:
- Human ability to summarize numerical data is well-researched.
- Real-world scenarios often demand inferring data-generating processes, not just summaries.
- Previous experience with variables influences distributional inference.
Purpose of the Study:
- Investigate human inference of continuous data distributions.
- Assess the impact of prior experience on distributional inference.
- Test cognitive models of distributional inference, including the Naïve Sampling Model.
Main Methods:
- Participants inferred distributions from continuous data samples.
- Exposure to prior instances of the variable was manipulated.
- Performance was evaluated against predictions from cognitive models.
Main Results:
- People demonstrate efficient intuitive statistical inference.
- As few as four observations enable successful distribution identification.
- Inference processes leverage both experienced and sampled data properties.
Conclusions:
- Individuals act as flexible intuitive statisticians.
- The Naïve Sampling Model accurately describes the cognitive process of distributional inference.
- Prior experience enhances the ability to infer data-generating distributions.
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