And here we go:
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- The box (±0.5) indicates the 50% prediction interval of the rating. In other words: there is a 50% chance that the average listener will give this speaker a rating that falls within the box.
- The lines (whiskers) (±0.9) are similar to boxes but with a 75% interval.
A mathematically equivalent, and perhaps more useful, way of looking at the above plot is the following:
- If boxes barely overlap (predicted score differs by 1.0), there is a 91% chance that the average listener will prefer the higher-rated speaker.
- If lines (whiskers) barely overlap (predicted score differs by 1.8), the probability is 99%.
I think this chart makes it quite clear that many speakers find themselves in the same "category", meaning that the model can't really tell which one would be preferred.
From there we can use the same principles to generate a matrix chart to compare every possible pair of speakers. I might have gone a bit overboard on that one…
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Both charts are live over at
Loudspeaker Explorer, in the Preference Ratings section at the very bottom.