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Precision is a measure of how well a result can be determined (without reference to a theoretical or true value). Measurement error is the amount of inaccuracy. So how do we report our findings for our best estimate of this elusive true value? The most common way to show the range of values that we believe includesĪccuracy is the closeness of agreement between a measured value and a true or accepted value. As we make measurements by different methods, or even when making multiple measurements using the same method, we may obtain slightly different results. While we may never know this true value exactly, we attempt to find this ideal quantity to the best of our ability with the When we make a measurement, we generally assume that some exact or true value exists based on how we define what is being measured.
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Without an uncertainty estimate, it is impossible to answer theīasic scientific question: "Does my result agree with a theoretical prediction or resultsįrom other experiments?" This question is fundamental for deciding if a scientific With its uncertainty allows other people to make judgments about the quality of theĮxperiment, and it facilitates meaningful comparisons with other similar values or a
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Properly reporting an experimental result along The complete statement of a measured value should include an estimate of the level ofĬonfidence associated with the value. The process of evaluating the uncertainty associated with a measurement result is often called uncertainty analysis or error analysis. However, all measurements have some degree of uncertainty that may come from a variety of sources. Measurements and Error Analysis "It is better to be roughly right than precisely wrong." - Alan Greenspan The Uncertainty of Measurements Some numerical statements are exact: Mary has 3 brothers, and 2 + 2 = 4.