Resolution, precision, accuracy, repeatability: Difference between revisions

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: how you know that true value ''itself'' to more accuracy is a good question, though mostly amounts to more work.
: how you know that true value ''itself'' to more accuracy is a good question, though mostly amounts to more work.


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This is sometimes split into relative accuracy and absolute accuracy, where
* absolute accuracy is relative to an
* relative accuracy is relative to an
For
Relative Accuracy: Relative Accuracy is how close a measured value is to a standard value on relative terms. In other words, independent of scale and translation.
Absolute Accuracy: Absolute accuracy is how close a measured value is to a know absolute true value. Usually provided in known and agreed-on units such as meters, cm, mm, inches, or feet.
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: If repeatability is contrasted with '''reproducibility''', then  
: If repeatability is contrasted with '''reproducibility''', then  
:: repeatibility is often a "can one person on one instrument get the same measurement again", and  
:: repeatibility is often a "can one person on one instrument get the same measurement again", and  
:: reproducibility is often a "if you have different operators, and/or different instruments, do you get the same measurement again?"
:: reproducibility is often a "if you have different operators, and/or different instruments, do they get the same measurement?"
 
: Resolution and repeatability are also words used when asking how well you can ''actuate/control'' something - which also makes things more complex because both the control and the measurement of the result may each have their own precision/accuracy details.
 
 
 
 
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Accuracy is sometimes split into relative accuracy and absolute accuracy. Not all definitions are the same here, but usually,
: relative accuracy is about whether comparisons are accurate to a given reference
: absolute accuracy where that reference is reality.
 
For example, consider having a map of houses, and a map of roads.
: Both can have high relative accuracy, in that the distances between objects are the distances in reality.
: But they may not be georeferenced with the same assumptions, meaning they may be a few meters off of reality -- and thereby also probably a few meters offset from each other
:: (and not necessarily off by a constant. You may need to creatively rubber-sheet things to get them to match well ''enough'')
 
 
In other contexts, the same ideas lead to different details of importance, and different summaries.


: Resolution and repeatability can also be about how well you can ''control'' something - which also makes things more complex because both the control and the measurement of the result may each have their issues
For example, measurement instruments


Relative accuracy: Inherent instrument accuracy relative to calibration standards. It includes stability, temperature coefficient, linearity, repeatability, and calibration interpolation error.
Absolute accuracy: The sum of the relative accuracy and the uncertainty of calibration standards.




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Revision as of 14:48, 9 August 2023

This article/section is a stub — some half-sorted notes, not necessarily checked, not necessarily correct. Feel free to ignore, or tell me about it.


Accuracy is how far measurements are from their true value (which is sometimes a standard value).

how you know that true value itself to more accuracy is a good question, though mostly amounts to more work.


Precision is largely about how consistent measurements are

measurements can be very precise but not at all accurate - e.g. a precision instrument that is consistently off to one side due to bad calibration
it may then be that calibration is the only thing keeping it from being a lot more accurate -- OR things may be a lot messier and more complex


Resolution is (usually) the units in which is reported (or controlled)

resolution often hints at the order of accuracy and/or precision, but this can be misleading
yet high resolution is also a great way to hint at more accuracy and/or precision than you really have
e.g. does your 4-digit multimeter always show accurate digits? How would you tell?


Repeatability asks that when you later return to the same true value, how stable your measurement of it is

this is much like precision, but focuses more on the tool or the machine, than the measurement.
If repeatability is contrasted with reproducibility, then
repeatibility is often a "can one person on one instrument get the same measurement again", and
reproducibility is often a "if you have different operators, and/or different instruments, do they get the same measurement?"
Resolution and repeatability are also words used when asking how well you can actuate/control something - which also makes things more complex because both the control and the measurement of the result may each have their own precision/accuracy details.







If my multimeter shows me 1.153 volts, it makes it easy to assume its accuracy is three digit's worth (around 0.1%).

But generally, multimeters shouldn't be assumed to be better than 1%, both because more extreme values (e.g. many-megaohm) are often harder to measure, and because cheap ones don't care as much about calibration. Cheap + extreme value combination may be more like 5%. And those figures are not very easy to find.


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Showing and/or sorta-implying precision in numbers

Does averaging give you more digits?