Does Low Resolution Compromise Measurement Accuracy?

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SUMMARY

The discussion centers on the relationship between measurement resolution and accuracy. It establishes that resolution, defined as the smallest measurable change by an instrument, directly impacts the accuracy of reported values. For instance, a beaker with 0.1ml increments can lead to inaccuracies when reporting values like 2.3ml, which may not reflect the true value of 2.2641ml. The conversation concludes that while resolution affects both accuracy and precision, human estimation can sometimes improve perceived accuracy, although this is subject to various qualifications.

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  • Understanding of measurement concepts: resolution, accuracy, and precision.
  • Familiarity with systematic errors in measurement.
  • Basic knowledge of human estimation techniques in measurement.
  • Experience with instruments that have defined measurement increments.
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  • Research the impact of measurement resolution on scientific data accuracy.
  • Explore systematic errors in measurement and their implications.
  • Study human estimation techniques and their effectiveness in various contexts.
  • Examine different types of measurement instruments and their resolution capabilities.
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Researchers, scientists, and educators involved in measurement accuracy, as well as anyone interested in the principles of precision and resolution in scientific instruments.

Arm_Chair_QB
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Resolution is the smallest change that can be measured by an instrument.

Accuracy is the closeness of a measured value its 'true' value.

Precision is essentially related to repeatability when you try to do the same measurement a few times.

Forget precision for now. We know the terms resolution and accuracy mean different things and have different definitions. But that is not to say they are not related/coupled where one influences the quality of the other?

Is it true to say a low resolution instrument affects the accuracy with which you report a value. Say a beaker has increments of 0.1ml and you read off 2.3ml to your best of your ability, but while only God truly knows its really 2.2641ml exact. It is ultimately the resolution affecting the accuracy of the value being reported? So when someone reports 2.3ml it is inaccurate.

So essentially, is it true to say resolution of measurement almost always affect accuracy?
 
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It depends on the type of error- if there is a human reading off values, then there may be some systematic error involved, which would affect accuracy. On the other hand, if there are no systematic errors, then I would think that resolution only has an impact on the precision.
 
I believe it affects both accuracy and precision.

Just for info... many years ago I was told that humans are quite good at estimating the correct value and can typically do so to within 1/10th of the scale provided. eg So in your example even though 0.1ml is the smallest scale on the beaker it might be possible to estimate the contents to about 0.01ml, although I suspect there are many qualifications that apply to this rule.
 

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