Comparing Uncertainty of Two Results in Conclusion

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The discussion centers on how to articulate overlapping uncertainty results in a conclusion regarding the power transfer ratios of two different golf balls. The 72-rated ball shows a higher ratio of 1.482 (±0.197) compared to the 98-rated ball's 1.343 (±0.287), but the uncertainties overlap, complicating the interpretation. Participants suggest that the 72-rated ball likely has a higher ratio, but significant doubt remains due to the overlapping uncertainties. A Student's t-test is recommended to assess the significance of the difference in means. Ultimately, the challenge lies in accurately conveying the uncertainty when it exceeds the difference between the two 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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