How to Determine Uncertainty of a Probability with Experimental Data?

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SUMMARY

To determine the uncertainty of a probability derived from experimental data, such as 46/234, one must apply the technique of propagation of uncertainty. This method allows for the calculation of uncertainty associated with the probability based on the inherent uncertainty in the experimental data. The discussion emphasizes that even without a specific formula for calculating probability, the uncertainty can still be quantified through proper statistical methods.

PREREQUISITES
  • Understanding of probability theory
  • Familiarity with experimental data analysis
  • Knowledge of uncertainty propagation techniques
  • Basic statistics, including concepts of confidence intervals
NEXT STEPS
  • Study the principles of uncertainty propagation in experimental physics
  • Learn about calculating confidence intervals for experimental probabilities
  • Explore statistical software tools for uncertainty analysis, such as R or Python's SciPy library
  • Review case studies involving experimental probability and uncertainty quantification
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Researchers, experimental physicists, statisticians, and anyone involved in data analysis who needs to quantify uncertainty in probability measurements.

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If i have experimentally determined a probability of an event with two possible outcomes to be, say, 46/234, how can I attatch an uncertainty value to this?
 
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You used some formula to calculate the probability from your data. Your data has an uncertainty. Therefore, by propagation of uncertainty, your probability has an uncertainty. That is, you use the technique of propagation of uncertainty to find the uncertainty.

If your first year, check this out:
https://www.physicsforums.com/showthread.php?t=196445
 
Last edited by a moderator:
Thank you, I read the pdf, and I found it useful, but I did not find the answer to my question. I didn't use a formula to calculate the probability, I just observed that I got this outcome 43 out of 234 times
 

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