what is the relative accuracy of 1.0 mm RMS error compared to 0.5mm RMS error??

Question

I am drafting a report and need to evaluate the results. I think an RMS value for error is relative to a log scale, thus 1/2 size is 10x better, does anyone know this math relationship?

Answer 1

The RMS (root mean square) simply gives equal weight to positive and negative errors. It has nothing to do with the log scale.
Your question isn't complete. You have 1.0 mm or .5 mm error out of what measured value? If this is out of a 2 mm measured value there is a 50 % to 25 % error yielded . If the measured value is 1000 km, they are a wash and not significant; both 1.0 and .5 mm would yield about the same RMS error.

Here's aa site with more info -

http://www-stat.stanford.edu/~susan/courses/s60/split/node60.html

Answer 2

RMS error implies a normal distribution of uncertainty. All you can say is that the uncertainty is twice as high in the 1.0 mm RMS error case compared to the 0.5 mm RMS error case.

Answer 3

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Answer 4

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