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Many principles and concepts are based on ideal scenarios when we know that realistically there are different contexts and situations when you also need to break the rule. I am not suggesting that we should cut everything out, but rather that we try to understand good graph design rules and what effects it has on the data-ink ratio. You'll find that some best practices actually increase the data-ink ratio, while others reduce it.
Just out of curiosity, what do you use black paper for?
But I will perhaps add a couple more examples based on all the comments and feedback so far. If nothing else I certainly enjoyed getting more people thinking and talking about how we can improve data visualization design!
"Despite strong calls to declutter visualizations (e.g., Tufte, 1983), there is only mixed evidence that this practice improves aesthetic ratings and little evidence that the prescription affects objective performance. Several studies have measured aesthetic ratings for cluttered versus decluttered charts, and some have shown clear preferences for decluttered versions (Ajani et al., 2021) and others, surprisingly, showing the opposite (Hill et al., 2017; Inbar et al., 2007). Researchers who have found the opposite have typically argued either that viewers’ higher level of familiarity with cluttered charts make those charts more attractive or that decluttered charts that are too minimalistic become boring. Another possibility is that users may prefer particular depiction styles for particular purposes, mindful of their audience and goals (Levy et al., 1996). Objective performance measures, such as the speed with which viewers can compute means across values in a bar graph, also present mixed evidence. For example, that speed can be slightly faster when some forms of “clutter,” such as axis tick marks, are removed but slower when other elements are removed (Gillan & Richman, 1994). Given the large number of design elements that could count as clutter, combined with the large number of tasks that one could complete on a visualization, some have argued that a simple rule for whether to declutter is unlikely to arise and have discouraged further empirical testing given the small and mixed effects found so far (Ajani et al., 2021)."
I am certainly not arguing for the fact that the data-ink ratio is a magic number, but quite the opposite - I believe that even trying to maximize or minimize a ratio is full of dangers and traps, but instead we should understand our design decisions and be aware of its impact in a more considered and objective way. The discussions here suggests people don't believe it is a magic number, but it also shouldn't be discarded when it does have some value.
You are right in that there is a lack of empirical evidence in how to apply the data-ink ratio to design. This is one of the reasons why I am trying to sift through the previous research that makes claims without really testing them properly, so that I can hopefully make better sense of it with better research.
If you want to encourage people to compare bar heights, you can certainly leave the grey horizontal lines. But if you directly labeled the bars with values then you don't need to scan from the vertical axis across individual bars to do that processing in your head. And if you removed the vertical axis labels that don't represent values being charted while also sorting the categories by their value, you can further remove another step in the process.
The point is that you can try to optimize in either direction of the data-ink ratio, but you should be aiming to just blindly increase or decrease it. Often it ends up making very little difference to the actual ratio value (which relates more to information density), and you need other design techniques to improve clarity and reduce clutter.
Rather than trying to create unnecessarily debate, the intent is to try and help people understand the metric beyond a simple value but how the concept can be applied.
More importantly, it is not about simply chasing a perfect value that doesn't exist, but to optimize it within a specific context for your audience.
All the points that you make are very much valid, and it is good that you have pointed these things out because I wouldn't want people to follow these principles blindly without thinking about it for themselves.
I haven't considered the 'ratio of integral of norm of gradient of colour' too much (because it is easier to start simple and build on it), but I hope you might consider elaborating on it.
The UX Research Methodology subway map trap
Ask HN: Books Written for Polyglots?
There have been a lot of YouTube videos posted by polyglots about how to learn a second language (or more), but I have never seen anything written specifically for polyglots to read.That is, are there books written in more than one language at the same time (not translated from one to another) so that you need to know more than one language to understand fully?
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StackOverflow's Alarming Q+A Drop
I hear that a lot, particularly from blokes that say: “Oh, I’m just not creative.”
When it comes to data-ink ratio, optimize rather than maximize
Nintendo Wii Themed Portfolio
Life/Art Lessons – Origami
Why would anyone want to fold flower petals into origami? I guess you'll have to read it to find out.