Dear Community,
I have recently used Aligned Rank Transform (ART) ANOVA for my dataset, due to its non-normal distribution and heteroscedasticity. As you might know, ART ANOVA is performed on aligned ranks rather than the original data.
I need to visually represent the main and significant effects of the factors studied. However, I am uncertain about the most appropriate method for plotting these effects. My question is:
Should I plot the differences in levels of a factor (e.g., showing mean values and error bars) using the aligned ranks generated from ART ANOVA? Is there a recommended best practice for visually summarizing the ART ANOVA results to illustrate the significant effects clearly and accurately?
I would greatly appreciate any insights or references to literature that could guide the appropriate visualization of ART ANOVA results.
Thank you
I'll just re-post my response from the link below. You might get more discussion on ResearchGate.
I don't think there's any established way to plot it. It's not not like a model that can give you estimated marginal means, so I would say, just plot the data / results in the most informative way. This might include: boxplots across groups, swarm plots across groups, medians and confidence intervals for each group.
https://www.reddit.com/r/AskStatistics/comments/1avgqm5/appropriate_visualization_technique_for_art_anova/
As a further comment, if you are doing the analysis in R with ARTool, you can get output akin to emmeans with standard errors with, e.g.
art.con(model, "Location", method="eff")
However, it appears that the output is in the scale of the ranks, and relative to a zero effect point. So, it's probably not practically useful for a reader. But is kind of the right way to summarize the output of the model.
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