Comparing Uncertainty of Two Results in Conclusion

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Discussion Overview

The discussion revolves around how to articulate the comparison of two overlapping uncertainty results in a conclusion, specifically in the context of power transfer ratios for different rated golf balls. Participants explore the challenges of expressing uncertainty when results from independent variables overlap.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in explaining overlapping uncertainty results in their conclusion, providing specific examples of power transfer ratios for two different golf balls.
  • Another participant suggests that while the 72 rated ball likely has a higher power transfer ratio, there remains considerable doubt, and calculating the exact probability that the 98 rated ball is better is challenging.
  • A different participant recommends using a Student's t test for a single comparison, indicating that it would show the difference of means is not significant.
  • One participant references an internet source suggesting that if the absolute uncertainty is less than the difference in uncertainty, the results cannot be fully reliable, but they remain uncertain about the correctness of this statement.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to best describe the overlapping uncertainties, with multiple competing views and suggestions presented throughout the discussion.

Contextual Notes

Participants express uncertainty regarding the appropriate statistical methods and language to use when discussing overlapping uncertainties, indicating a lack of clarity on how to effectively communicate these results.

golfz
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I am trying to figure out how to refer to two overlapping uncertainty results. I have to write a conclusion and I find it difficult to explain. Even now it may seem unclear as to what I am referring to so I will provide an example. This is directly from my conclusion.

'The 72 rated golf ball had a higher power transfer ratio of 1.482 (±0.197) and that of the 98 rated ball had a ratio of 1.343 (±0.287).'

The two results 'overlap'. How do I refer to this? These are two different results for two difference independent variables.
 
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golfz said:
I am trying to figure out how to refer to two overlapping uncertainty results. I have to write a conclusion and I find it difficult to explain. Even now it may seem unclear as to what I am referring to so I will provide an example. This is directly from my conclusion.

'The 72 rated golf ball had a higher power transfer ratio of 1.482 (±0.197) and that of the 98 rated ball had a ratio of 1.343 (±0.287).'

The two results 'overlap'. How do I refer to this? These are two different results for two difference independent variables.

I don't know what they are looking for, but I would say that the 72 probably has a higher power transfer ratio but considerable doubt remains. The exact probability that the 98 is better is hard to calculate, so I think they don't want that. Maybe you could draw a graph that would demonstrate the uncertainty.
 
golfz said:
I am trying to figure out how to refer to two overlapping uncertainty results. I have to write a conclusion and I find it difficult to explain. Even now it may seem unclear as to what I am referring to so I will provide an example. This is directly from my conclusion.

'The 72 rated golf ball had a higher power transfer ratio of 1.482 (±0.197) and that of the 98 rated ball had a ratio of 1.343 (±0.287).'

The two results 'overlap'. How do I refer to this? These are two different results for two difference independent variables.

If you're doing a single comparison like this, you should use a Student's t test. In this case it will show the difference of means is not significant.

BBB
 
PatrickPowers, I was looking for something similar to you answer 'the 72 probably has a higher power transfer ratio but considerable doubt remains'.
I also found on the internet something like 'the absolute uncertainty is less than the difference in uncertainty hence it cannot be fully reliable'. I was looking for an answer like that however I still am not sure if that is right. There is no need to make any graph, I am just looking for a way to describe it when the uncertainty is larger than the difference.
 

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