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8: Statistical Visualization
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Graphics & Visualization
Compare Data and Distributions with Probability Plots
Use probabilityprobability plots to compare data to distributions, data to data, distributions to data, and distributions to distributions by corresponding CDF values.
In[1]:=
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data1 = RandomReal[NormalDistribution[], 25]; data2 = RandomReal[UniformDistribution[{2, 2}], 25]; dist1 = NormalDistribution[]; dist2 = UniformDistribution[{2, 2}];
In[2]:=
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Grid[Partition[ MapThread[ ProbabilityPlot[# /. HoldForm > Identity, #2 /. HoldForm > Identity, ImageSize > 275, ImagePadding > {{20, 5}, {20, 5}}, AspectRatio > 1, PlotStyle > Directive[PointSize[Large], #3], Filling > {2 > {1}}, FillingStyle > Directive[Thick, Lighter[#3, 0.5]], ReferenceLineStyle > Directive[Dotted, Thick, Lighter[#3, 0.5]], PlotLabel > Row[{#, " vs. ", #2}], BaseStyle > {FontFamily > "Helvetica"}, LabelStyle > Bold] &, {{HoldForm[data1], HoldForm[data1], HoldForm[dist1], HoldForm[dist1]}, {HoldForm[data2], HoldForm[dist2], HoldForm[data2], HoldForm[dist2]}, ColorData[28] /@ {1, 3, 7, 9}}], 2]]
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