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  • $\begingroup$ if the visualization uses a map with the different counties anyway, I'd probably prefer conveying the age group proportion by coloring, plus the estimate and the uncertainty as a text label ( e.g. 0.35±0.05) . Depending on the map, some counties might not have enough space for it, but maybe the size of the overall figure can be adjusted. I definitely think it'd be the most intuitive way for me $\endgroup$ Commented yesterday
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    $\begingroup$ @deemel thanks for the feedback. Just as a small side note, some methods for computing confidence intervals (e.g. Wilson CI) do not necessarily generate symmetrical CIs, so one may end up with a bit more text than "±0.05". $\endgroup$ Commented yesterday
  • $\begingroup$ With some care, varying transparency or focus ("bokeh") can work. You have to experiment. $\endgroup$ Commented yesterday
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    $\begingroup$ @ischmidt You're right that there's no perfect answer: plenty of methods have been tried but none are in common use. // Uncertainties in proportions are bounded because the proportions are bounded. But proposing a restriction to bounded variables is a little puzzling, because (1) non-infinite quantities shown on any map are always bounded by their range and (2) it's not necessary for the mapping from a quantity to a graphical or geometric characteristic to be linear, anyway. $\endgroup$ Commented yesterday
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    $\begingroup$ One can illuminate geometric objects in a map (that is, alter their light values) according to levels of uncertainty. Although the illustration at gis.stackexchange.com/a/17190/664 literally shows light, it indicates what can be accomplished if you imagine the darker "nighttime" part of the map being locations of greater uncertainty. $\endgroup$ Commented yesterday