Comparing Uncertainty of Two Results in Conclusion

[golfz]

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.

 

[PatrickPowers]

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.

 

[bbbeard]

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

 

[golfz]

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.

 

[PJC01]

It is important to accurately and clearly convey the results of your experiment in your conclusion. In this case, it seems that the uncertainty ranges for the two results are overlapping, indicating that there is some overlap in the possible values for the power transfer ratio between the two rated golf balls. To refer to this in your conclusion, you could state something along the lines of: "The results for the 72 rated golf ball showed a higher power transfer ratio (1.482 ± 0.197) compared to the 98 rated ball (1.343 ± 0.287), with some overlap in the uncertainty ranges." This acknowledges the overlap while also highlighting the difference between the two results. Additionally, you could consider including a visual representation of the uncertainty ranges in your conclusion to help clarify the concept for your readers.