I am trying to figure out how to refer to two overlapping uncertainty

AI Thread Summary
When discussing overlapping uncertainty results, it's crucial to highlight that the presence of overlap indicates inconclusiveness regarding the effect of the independent variables on the outcome. In the example provided, the power transfer ratios of the two golf balls overlap, suggesting that one cannot definitively conclude which ball performs better. A clear conclusion should state that the data does not support a definitive difference in performance due to the overlapping uncertainties. Thus, it is essential to avoid asserting superiority of one ball over the other based on the current findings. Ultimately, further testing would be necessary to reach a conclusive result.
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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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It depends on the initial hypothesis you are trying to test.

Assuming you are testing the effect of ball type on power transfer ratio, the proper conclusion in this instance is that it is inconclusive whether the type of golf ball affects the power transfer ratio. A conclusive result would require the uncertainties to not overlap.

I would avoid saying whether one ball has a higher power transfer ratio over the other for this reason. The truth is, you cannot definitively say which is higher.

Claude.
 
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