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plotting - How to access box-and-whisker specifications from custom ChartElementFunction?


I am creating a custom ChartElementFunction for BoxWhiskerChart. I would like to access the box-and-whisker specifications from the second parameter of BoxWhiskerChart to use in the custom function; just as the built-in element functions. Minimal custom element function:


ClearAll[cef];
cef[boundingBox_, data_, meta_] :=
 Module[{qt = Quantile[data, {0, 0.25, .5, 0.75, 1}, {{1/2, 0}, {0, 1}}],
         h = First@Differences@boundingBox[[2]],
         m = Mean@boundingBox[[2]]},

  {
   {Thickness[.005], CapForm["Butt"], Blue,
    Line[{
     {qt[[1]], m - .1 h}, 
     {qt[[1]], m + .1 h}}]},
   {Thickness[.005], CapForm["Butt"], Magenta,
    Line[{
     {qt[[5]], m - .1 h}, 
     {qt[[5]], m + .1 h}}]}
   }

  ]

Minimal example where the fences are drawn different colours. The box-and-whisker "Fences" specification says to draw them 80% of the height of the box-whisker. However, I don't have access to this and have to hard-code a value (in this case 20% of the height). The regular element function is added to cut down on the size of the post.


SeedRandom[953];
data = RandomVariate[ChiSquareDistribution[5], 100];
BoxWhiskerChart[data, {"Basic", {"Fences", .8, None}}, 
 BarOrigin -> Left,
 ChartElementFunction -> ({cef[##], ChartElementDataFunction["BoxWhisker"][##]} &)]

enter image description here



Can the second parameter box-and-whisker specifications be accessed in a custom ChartElementFunction as they are in the built-in ones? I would prefer not to move the specifications into a parameter of the custom function.



Answer



Inspecting the code for the function System`BarFunctionDump`boxplot, it looks like you can access the fence specs -- (.8, None) in your example -- using Charting`ChartStyleInformation["Fence"] inside your cef.


More generally, all box and whiskers specifications, "Color", "BarOrigin", "Outliers", "BoxRange" etc., can be accessed using Charting`ChartStyleInformation.


ClearAll[cef];
cef[boundingBox_, data_, meta_] := 
 Module[{qt = 
    Quantile[data, {0, 0.25, .5, 0.75, 1}, {{1/2, 0}, {0, 1}}], 
   h = First@Differences@boundingBox[[2]], 
   m = Mean@boundingBox[[2]]}, {{Thickness[.005], CapForm["Butt"], 

    Blue, Print /@ (Row[{#, " = ", Charting`ChartStyleInformation[#]}] & /@ 
    {"Color",  "BarOrigin", "Outliers", "BoxRange", "MedianConfInt",  "MeanConfInt", 
    "Whisker", "Fence", "MedianMarker", "MeanMarker", "MedianConfIntPara"}), 
    Line[{{qt[[1]], m - .1 h}, {qt[[1]], 
       m + .1 h}}]}, {Thickness[.005], CapForm["Butt"], Magenta, 
    Line[{{qt[[5]], m - .1 h}, {qt[[5]], m + .1 h}}]}}]



SeedRandom[953];


data = RandomVariate[ChiSquareDistribution[5], 100];
BoxWhiskerChart[data, {"Basic", {"Fences", .8, None},
   {"Outliers", "A", Green}, {"FarOutliers", "B", Orange}}, 
 BarOrigin -> Left, 
 ChartElementFunction -> ({cef[##], ChartElementDataFunction["BoxWhisker"][##]} &)]

Mathematica graphics


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