# Communicating Statistical Information

@article{Hoffrage2000CommunicatingSI, title={Communicating Statistical Information}, author={Ulrich Hoffrage and Samuel Lindsey and Ralph Hertwig and Gerd Gigerenzer}, journal={Science}, year={2000}, volume={290}, pages={2261 - 2262} }

Most people, experts included, have difficulties understanding and combining statistical information effectively. Hoffrage et al. demonstrate that these difficulties can be considerably reduced by communicating the information in terms of natural frequencies rather than in terms of probabilities. Several applications in medicine, legal decision-making, and education are discussed.

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Sir,
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## References

SHOWING 1-10 OF 14 REFERENCES

### How to Improve Bayesian Reasoning: Comment on Gigerenzer and Hoffrage (1995)

- Psychology
- 1999

G. Gigerenzer and U. Hoffrage (1995) claimed that Bayesian inference problems, which have been notoriously difficult for laypeople to solve using base rates, hit rates, and false-alarm rates, become…

### Using natural frequencies to improve diagnostic inferences

- MedicineAcademic medicine : journal of the Association of American Medical Colleges
- 1998

Representing information in natural frequencies is a fast and effective way of facilitating diagnosis insight, which in turn helps physicians to better communicate risks to patients, and patients to better understand these risks.

### The Interdependence of Science and Law

- EducationScience
- 1998

The use of court-appointed scientific experts in technical cases to assist judges in gleaning unbiased information and determining the validity of scientific evidence is used.

### 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.

### The base rate fallacy reconsidered: Descriptive, normative, and methodological challenges

- PsychologyBehavioral and Brain Sciences
- 1996

Abstract We have been oversold on the base rate fallacy in probabilistic judgment from an empirical, normative, and methodological standpoint. At the empirical level, a thorough examination of the…

### The Random Match Probability (RMP) in DNA Evidence: Irrelevant and Prejudicial?

- Biology
- 1995

It is shown that R MPs contribute little to an assessment of the diagnostic significance of a reported DNA match beyond that given by the false positive laboratory error rate when RMPs are several orders of magnitude smaller than this error rate.

### Interpretation by physicians of clinical laboratory results.

- MedicineThe New England journal of medicine
- 1978

A small survey was conducted to obtain some idea of how physicians do, in fact, interpret a laboratory result, and asked if a test to detect a disease whose prevalence is 1/1000 has a false positive rate of .

### Error and Exaggeration in the Presentation of DNA Evidence at Trial

- Physics
- 1993

This Article identifies some of the subtle, but common, exaggerations that have occurred at trial, and classifies each in relation to the three questions that are suggested by the chain of reasoning…

### AIDS counselling for low-risk clients.

- PsychologyAIDS care
- 1998

This study addresses the counselling of heterosexual men with low-risk behaviour who, voluntarily or involuntarily, take an HIV test and proposes a simple method that counsellors can learn to communicate risks in a more effective way.

### A Handbook for data analysis in the behavioral sciences : methodological issues

- Psychology
- 1993

This book discusses methodological and statistical issues surrounding the development of Mathematical Models in Psychology, as well as some of the techniques used in Bayesian Statistics, a branch of statistics based on Bayesian inference.