Error propagation and standard deviation

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SUMMARY

This discussion focuses on error propagation and standard deviation in experimental physics, emphasizing the importance of accurately determining the difference between measured and theoretical values. Key references include Kline and McClintock's 1953 paper on uncertainty analysis, the NIST guidelines, and the GUM (Guide to the Expression of Uncertainty in Measurement). These resources provide essential methodologies for incorporating errors into standard deviation calculations, ensuring reliable experimental readings.

PREREQUISITES
  • Understanding of basic statistics, particularly standard deviation.
  • Familiarity with error propagation techniques in experimental physics.
  • Knowledge of uncertainty analysis as outlined in Kline and McClintock's work.
  • Awareness of the GUM and NIST guidelines for measurement uncertainty.
NEXT STEPS
  • Study Kline and McClintock's 1953 paper on uncertainty analysis.
  • Review the NIST guidelines for uncertainty in measurement.
  • Examine the GUM for comprehensive methods on error propagation.
  • Practice calculating standard deviation with error propagation using sample data sets.
USEFUL FOR

Experimental physicists, statisticians, and researchers involved in data analysis who need to understand error propagation and standard deviation in their measurements.

Sral2018
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Hey there,
First time on this forums, looking forward to some interesting discussions :)
I am currently trying grasp the concepts of error propagation and standard deviation in relation to experimental physics. I have some data set and i want to determine the difference between the measured and theoretical values including errors and how reliable my reading are. My problem is how do i include these errors in the standard deviation?
 
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You might check Kline and McClintock's 1953 paper on uncertainty analysis. It is a standard in the field.
 
There is also the NIST guidelines which are a little more up to date.

https://www.nist.gov/sites/default/files/documents/2017/05/09/tn1297s.pdf
 

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