Uncertainty Meaning: Definition & Difference from Error

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    Uncertainty
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Discussion Overview

The discussion revolves around the meanings of uncertainty and error in measurements, exploring their definitions and differences. Participants seek clarification on these concepts, particularly in the context of experimental analysis and measurement accuracy.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks for the meaning of uncertainty and the difference between uncertainty and errors.
  • Another participant suggests using an external search engine for definitions, indicating a lack of direct engagement with the question.
  • A participant defines error as the difference between a measured value and the true value, while uncertainty is described as the statistical standard deviation of repeated measurements, noting that uncertainty calculations do not require knowledge of a true value.
  • Another participant elaborates on the concepts of accuracy and precision, stating that accuracy relates to how well a measured value agrees with a true value (error), while precision refers to the spread of measured values (uncertainty). They mention that it is possible to have precise but inaccurate measurements and discuss systematic and random errors.
  • A later reply expresses gratitude for the explanation and inquires whether it is acceptable to use the terms error and uncertainty interchangeably.

Areas of Agreement / Disagreement

Participants present differing views on the definitions and relationships between error and uncertainty, with no consensus reached on whether the terms can be used interchangeably.

Contextual Notes

Some definitions and distinctions may depend on specific contexts or interpretations, and the discussion includes references to external resources for further clarification.

queenstudy
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hi this is my first physical post , i hope i find the right help
i just want to know the meaning of uncertainty and the difference between unceratinty and errors any explanation would help
 
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I suggest that you go to http://ask.com" and type in a suitable query, such as What is the difference between uncertainly and error in measurement?

You will find that ask.com is a very good site for posing such questions.
 
Last edited by a moderator:


thank you
 


The error is the difference between a measured value and the known, "true" number, while the uncertainty is the statistical standard deviation of repeated measurements. Note that the calculation of uncertainties does not require prior knowledge of a "true" value.

Claude.
 
queenstudy said:
hi this is my first physical post , i hope i find the right help
i just want to know the meaning of uncertainty and the difference between unceratinty and errors any explanation would help

When analyzing an experiment, it's sometimes useful to separately consider 'accuracy' and 'precision'. Accuracy is how well the (average) measured value agrees with the 'true' value, which may be determined by use of a standard, and your term 'error' may correspond to 'accuracy'. Precision refers to the spread of measured values, which may refer to your term 'uncertainty'. It's possible to have very precise and inaccurate measurements, poor precision and high accuracy, or some other combination. Loss of accuracy is sometimes called 'systematic error', while lack of precision is sometimes called 'random error'.

http://www.colorado.edu/geography/gcraft/notes/error/error_f.html

Also, there is uncertainty in the underlying object itself if stochastic processes are present. One way to think about this is that we have imprecise information about the object (or process).
 
Andy Resnick said:
When analyzing an experiment, it's sometimes useful to separately consider 'accuracy' and 'precision'. Accuracy is how well the (average) measured value agrees with the 'true' value, which may be determined by use of a standard, and your term 'error' may correspond to 'accuracy'. Precision refers to the spread of measured values, which may refer to your term 'uncertainty'. It's possible to have very precise and inaccurate measurements, poor precision and high accuracy, or some other combination. Loss of accuracy is sometimes called 'systematic error', while lack of precision is sometimes called 'random error'.

http://www.colorado.edu/geography/gcraft/notes/error/error_f.html

Also, there is uncertainty in the underlying object itself if stochastic processes are present. One way to think about this is that we have imprecise information about the object (or process).

mr andy resnick , thank very much , that was exactly but is it okay to say error and uncertainty? just curious
 

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