Uncertainty in Measurement (Question)

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SUMMARY

The discussion centers on the implications of measurement uncertainty in data analysis, specifically when measuring quantities like the speed of light. If a measured average value exceeds the true value by 10% while the uncertainty is less than 10%, it indicates potential issues with the data or experimental method. The uncertainty should ideally encompass the true value, assuming the experimental method is sound and all errors are accounted for. A real-world example is provided where a PhD candidate's precise measurement contradicted a previous measurement, ultimately proving correct.

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BAnders1
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In regards to data analysis, what would it mean if you measured some quantity, say the speed of light for example, and you measured an average value that was 110% of the true value. If your uncertainty in measurement is LESS than 10%, does that mean that something is wrong with your data or experimental method?

In general, should the uncertainty in measurement create a "bubble" around the average measured value that always encloses the true value, given that your experimental method and theory is correct, and that you accounted for every possible error?
 
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BAnders1 said:
In regards to data analysis, what would it mean if you measured some quantity, say the speed of light for example, and you measured an average value that was 110% of the true value. If your uncertainty in measurement is LESS than 10%, does that mean that something is wrong with your data or experimental method?

In general, should the uncertainty in measurement create a "bubble" around the average measured value that always encloses the true value, given that your experimental method and theory is correct, and that you accounted for every possible error?
If you believe your data, and your estimate of statistical uncertainty, then the "true value" might be wrong. In my PhD thesis, I used a new and very precise method to measure a parameter that was previously measured by my thesis advisor 10 years earlier. My measurement was two (of his) standard deviations lower, and his was 30 (of my standard deviations) higher. My measurement turned out to be correct. (I got my PhD anyway.)
Bob S
 

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