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Statistical Visualization
Statistical visualization is used to understand how data is distributed and how that compares to other datasets and distributions. Histograms and smooth histograms both effectively estimate the various distribution functions, either through binning or smoothing. Quantile and related plots compare data to a reference distribution. Box-and-whisker and distribution charts compare a number of data distributions to each other. All the statistical visualization functions provide high levels of automation of aesthetics and statistical computations including automatic bin selection, bandwidth determination, and distribution parameter estimation. All functions also give detailed access to customize both aesthetics and statistical computations.
Featured Examples |
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Analyze Card Games with the Hypergeometric Distribution
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Analyze Energy Production from a Wind Turbine
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Apply Censoring to a Distribution
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Cluster a Bivariate Dataset
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Compare Maximum-Likelihood and Cramér-von Mises Estimates
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Compare Nonparametric and Parametric Reliability Models
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Compare Stock Returns with a Paired Histogram
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Compare Two Models of Wind Speeds
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Compute a Two-Tailed Probability
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Create a Correlation Table
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Create Confidence Envelopes about Nonparametric Density Estimates
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Create Paired Histograms for Comparing Data
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Create Scaled Histograms
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Customized Financial Data Visualizations
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Decompose Mixture Models of Earthquake Magnitudes
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Define a Distribution Given Its Hazard Function
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Divide a Square into Segments by Clustering
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Estimate Multivariate Nonparametric Probabilities and Expectations
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Estimate Parameters and Test Goodness of Fit
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Expected Length of a Human Chromosome
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Find and Visualize a Linear Regression
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Find and Visualize Clusters in Data
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Find and Visualize Residuals for Fitted Models
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Fit Word Length Data to Distributions
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Make a Histogram
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Make a Histogram of Stock Returns
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Model Word Lengths by Binomial Distributions
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Perform an Edgeworth Expansion to Approximate a Distribution
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Perform Tests of Location and Scale Simultaneously on Multiple Datasets
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Simulate a Derived Distribution
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Simulate Incomes with Dagum Distribution
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Test for Goodness of Fit to Any Distribution or Dataset
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Use a Logistic Distribution to Simulate Fractional Change
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Use Chart Elements and Color Schemes
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Use Component Mixtures to Model Multimodal Data
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Visualize an Urn Model with Weighted Balls
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Visualize Distribution Functions for a Fitted Multivariate Distribution
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Visualize File Sizes in a Directory
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Visualize the Maximum Height of a Histogram
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Visualize the Multivariate Poisson Distribution in 3D
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Visualize Wavelet Coefficient Distributions
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Word Length Distribution in Various Languages
Reference
Distribution Shapes
Histogram — plot a histogram of data
SmoothHistogram — plot a density estimate of data
Histogram3D ▪ 
SmoothHistogram3D ▪ 
DensityHistogram
SmoothDensityHistogram ▪ 
PairedHistogram ▪ 
PairedSmoothHistogram
BarSpacing ▪ BarOrigin ▪ GridLines ▪ ScalingFunctions ▪ 
Distribution Fits
QuantilePlot — quantile-quantile plot of data or distributions
ProbabilityPlot — probability-probability plot of data or distributions
ProbabilityScalePlot — normal plot, Weibull plot, Gumbel plot, etc.
ReferenceLineStyle ▪ ScalingFunctions ▪ GridLines ▪ 
Distribution Comparisons
BoxWhiskerChart — box-and-whisker chart of multiple datasets
DistributionChart — distribution chart of multiple datasets
BarSpacing ▪ BarOrigin ▪ ChartElementFunction ▪ ScalingFunctions ▪ 
Charting »
BarChart ▪ PieChart ▪ BubbleChart ▪ ...
Data Visualization »
ListPlot ▪ ListPlot3D ▪ ListContourPlot ▪ ...
Function Visualization »
Plot ▪ Plot3D ▪ DiscretePlot ▪ DiscretePlot3D ▪ ContourPlot ▪ ...
