Importance of uncertainty and probability in research papers

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Discussion Overview

The discussion focuses on the role of uncertainty and probability in research papers within the field of physics, particularly in relation to the presentation of statistical analysis and error analysis in published works. Participants explore the expectations surrounding the inclusion of numerical solutions and error assessments in theoretical versus experimental contexts.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant notes the importance of statistics and error analysis in astrophysics but questions why these elements are often absent from actual physics papers, suggesting a disconnect between theoretical calculations and their presentation.
  • Another participant challenges the generalization that errors are never shown in research papers, asking for specific examples to support this claim.
  • A different viewpoint suggests that statistics may not be required in certain contexts, such as established theories presented in textbooks or theoretical physics that lacks direct experimental connection, implying that the burden of error analysis falls on experimental physicists later.
  • One participant speculates that it is assumed readers will understand how to utilize the equations presented, and suggests that numerical calculation errors should be acceptable as long as they remain within established bounds, although they express uncertainty about the original question.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and presentation of statistical analysis in physics papers, with no consensus reached on the issue. Some agree that there are contexts where statistics may not be required, while others challenge the assertion that errors are never included.

Contextual Notes

Participants acknowledge that the discussion may depend on definitions of what constitutes a 'research paper' versus a 'textbook' and the varying expectations in theoretical versus experimental physics.

Zack K
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As someone who is interested in astrophysics, I always get emphasized on the importance of knowing statistics and error analysis in results of a calculation. However when I read about real physics papers, I never see any numerical solutions, just equations that demonstrate phenomena. I know that the physicist who did the paper probably did calculations to affirm if the equation is correct, but why don't these errors ever show up in the actual research paper?
 
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Zack K said:
... but why don't these errors ever show up in the actual research paper?
This is a general statement which already by its generality cannot be true.

Can you give at least a few examples of what you meant, i.e. references and locations in the text?
 
I know at least two cases when statistics and such are not required in (physics) science papers. One is, when it is already a 'textbook' and it is no longer about a research but about a proven theory, intended to be used for education.
The other is, when it comes from theoretical physics and it has no direct connection to actual experiments: in this case the equations can be about 'exact' math so no statistics required (that headache will belong to the experimental physicist later on when he tries to use/prove/disprove those results...).

There may be other cases and I agree with @fresh_42 that examples would be great.
 
I think it is implied the reader would know how to make use of these equations. Though, I don't completely understand the question. If there are calculation error due to the method of being numerical, that should be expected and shouldn't be an issue as long as the error doesn't exceed some already proved bound. An error could be with an equation itself, or rather the supposed implications of said equation. I'm just grasping at straws here, though..
 

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