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probability or statistics - BoxWhiskerChart with logarithmic axes


I would like to make a following chart


BoxWhiskerChart with log y-axis


Ideally I would also like to control the boxes position on a logarithmic x-axis.


Some inspiration how to do the latter may be found in the answer to my other question: How to controll position on the x-axis of a boxWhiskerChart


TIA:)



Answer



Buried in the Details section of the documentation for BoxWhiskerChart is a reference to an option called ScalingFunctions which when set "the data coordinate is scaled using s." So, first some data:


data = RandomVariate[RayleighDistribution[RandomInteger[500]], {8, 50}];


without the scaling functions:


BoxWhiskerChart[data, "Outliers", ChartStyle -> 56]

Mathematica graphics


and with ScalingFunctions set to "Log":


BoxWhiskerChart[data, "Outliers", ChartStyle -> 56, ScalingFunctions -> "Log"]

Mathematica graphics


You might need a custom list of FrameTicks to get the desired formatting. Some ideas to get you started can be found here, here and here.



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