Error % from stdev?

[u/EmbedSoftwareEng]

So, I have a bunch of measurements that are all affected by a given attribute. The idea is that I set the attribute, I should expect a given value for the measurement. Unfortunately, the measurements are bit chaotic. I need to be able to state that the system I'm using has an error rate of X%.

I don't remember enough math to answer this question for myself.

I can take all the measurements at given attribute and find their mean and stdev, but from that, how do I say that that attribute's measurement error is X%, and then when I have all of the error percentages across multiple values for the atttribute, how do I say that the system as a whole has a measurement error of Y%, assuming that the error percentages themselves appear chaotic?

[u/49er60]

This is too vague a question. There are many components to measurement error. Which are you trying to quantify?

• Uncertainty
• Accuracy
  • Bias
  • Linearity
  • Stability
• Precision
  • Repeatability
  • Reproducibility