--- title: "PairwiseProbabilityPlot" language: "en" type: "Symbol" summary: "PairwiseProbabilityPlot[{{y11, ..., y 1 n}, ..., {y m 1, ..., ymn}}] plots a CDF of columns in the data against each other." keywords: - splom - scatterplot array - scatter plot matrix - pairwise plot - ggpairs - pairs - pairwise p-p plot - p-p plot array canonical_url: "https://reference.wolfram.com/language/ref/PairwiseProbabilityPlot.html" source: "Wolfram Language Documentation" related_guides: - title: "High-Dimensional Visualization" link: "https://reference.wolfram.com/language/guide/HighDimensionalVisualization.en.md" related_functions: - title: "PairwiseQuantilePlot" link: "https://reference.wolfram.com/language/ref/PairwiseQuantilePlot.en.md" - title: "PairwiseListPlot" link: "https://reference.wolfram.com/language/ref/PairwiseListPlot.en.md" - title: "ProbabilityPlot" link: "https://reference.wolfram.com/language/ref/ProbabilityPlot.en.md" - title: "PairwiseDensityHistogram" link: "https://reference.wolfram.com/language/ref/PairwiseDensityHistogram.en.md" - title: "PairwiseSmoothDensityHistogram" link: "https://reference.wolfram.com/language/ref/PairwiseSmoothDensityHistogram.en.md" - title: "ParallelAxisPlot" link: "https://reference.wolfram.com/language/ref/ParallelAxisPlot.en.md" - title: "RadialAxisPlot" link: "https://reference.wolfram.com/language/ref/RadialAxisPlot.en.md" - title: "BoxWhiskerChart" link: "https://reference.wolfram.com/language/ref/BoxWhiskerChart.en.md" - title: "ListPlot" link: "https://reference.wolfram.com/language/ref/ListPlot.en.md" --- [EXPERIMENTAL] # PairwiseProbabilityPlot PairwiseProbabilityPlot[{{y11, …, y1n}, …, {ym1, …, ymn}}] plots a CDF of columns in the data against each other. ## Details and Options * ``PairwiseProbabilityPlot`` is also known as a P-P plot matrix. * It plots high-dimensional data by creating a grid of individual plots of just two data columns at a time. * The plot compares column ``yi = {y1i, y2i, …, ymi}`` against column ``yj = {y1j, y2j, …, ymj}`` by plotting a a probability-probability plot of ``yi`` against reference data ``yj`` in panel ``{i, j}``. [image] * The plot in panel $\{i,j\}$ consists of points whose coordinates are $\left\{p_j,p_i\right\}$, where $p_i$ is the probability that a value in ``yi`` is less than the ``k``$$^{\text{th}}$$-smallest value in ``yj``, for $k=\left\lceil p_j n\right\rceil$. * Probability plots can help identify the shapes of the distributions of the data column ``yi`` relative to column ``yj`` : | | | | | ------- | ------- | -------------------------------------------------------------------------------------------- | | [image] | [image] | yi and yj are similarly distributed | | [image] | [image] | the probability that values are less than x is higher for yi than yj | | [image] | [image] | the probability that values are less than x is lower for yi than yj | | [image] | [image] | the probability that values are less than x is higher for yi than yj for smaller values of x | | [image] | [image] | the probability that values are less than x is higher for yi than yj for larger values of x | * ``PairwiseProbabilityPlot[Tabular[…] -> cspec]`` extracts and plots values from the tabular object using the column specification ``cspec``. * The following forms of column specifications ``cspec`` are allowed for plotting tabular data: {Subscript[``col``, ``y``1], …, Subscript[``col``, ``yn``]} plot the ``colyi`` against ``colyj`` in a pairwise manner * ``PairwiseProbabilityPlot`` takes the same options as ``ProbabilityPlot``, with the following changes and additions: [] | | | | | --------------------- | ----------------- | -------------------------------------------------- | | AspectRatio | 1 | ratio of height to width for each panel | | Background | None | background to use for each plot | | Frame | Automatic | whether to draw frames around each panel | | FrameTicks | Automatic | whether to label frame edges with ticks and labels | | GridLines | Automatic | whether to include gridlines in panels | | GridLinesStyle | Automatic | style for gridlines | | HeaderAlignment | Center | horizontal and vertical alignments of headers | | HeaderBackground | Automatic | background colors to use for headers | | HeaderDisplayFunction | Automatic | function to use to format headers | | Headers | Automatic | labels to use for each data column yi | | HeaderStyle | None | styles to use for headers | | PerformanceGoal | \$PerformanceGoal | aspects of performance to try to optimize | | PlotHighlighting | Automatic | highlighting effect for points | | PlotLayout | Automatic | how to arrange the panels | | PlotLegends | Automatic | legends for data | | PlotMarkers | None | markers to use to indicate each point | | PlotStyle | Automatic | graphics directives to determine styles of points | | PlotTheme | \$PlotTheme | overall theme for the plot | | Spacings | Automatic | horizontal and vertical spacings | * ``PlotLayout`` can have the following settings: | | | | | ------- | ---------------------- | ---------------------------------------- | | [image] | "Descending" | data columns going down and to the right | | [image] | "Ascending" | data columns going up and to the right | | [image] | "DescendingHalfMatrix" | lower half of the descending layout | | [image] | "AscendingHalfMatrix" | upper half of the ascending layout | * Headers specifies the labels to use for each column in the data, and will generally be displayed above each column and after each row in the final plot. * Possible settings include: | | | | --------------------- | ----------------------------------------- | | None | leave the plot columns and rows unlabeled | | Automatic | automatically label columns and rows | | All | always include column and row labels | | "Indexed" | number the columns and rows 1, 2, …, n | | {lbl1, lbl2, …, lbln} | use the given labels lbli | * ``HeaderAlignment`` determines how data column labels are aligned with regard to the plot columns and rows. * ``HeaderAlignment`` can take the following forms: | | | | ------------ | ---------------------------------------------------------------------- | | Center | center the labels in the header positions | | {h, v} | separate horizontal and vertical alignments within the header position | | {cols, rows} | use col for plot columns and row for plot rows | * ``HeaderBackground`` and ``HeaderStyle`` can take the following forms: | | | | --------------------- | ----------------------------------------------- | | None | use ambient styling | | sty | use the style sty for all headers | | {sty1, sty2, …, styn} | use the given styles styifor successive headers | | {cols, rows} | use col for plot columns and row for plot rows | * ``HeaderDisplayFunction`` determines how headers are displayed. * Possible settings are: | | | | --------- | ---------------------- | | Automatic | automatic formatting | | None | use unprocessed labels | * ``ColorData["DefaultPlotColors"]`` gives the default sequence of colors used by ``PlotStyle``. * The arguments to ``ColorFunction`` are ``yi1, yi2, …, yin``. By default, the color function arguments are scaled per data column to be between 0 and 1. * Use ``ColorFunctionScaling -> None`` to use unscaled values, or ``ColorFunctionScaling -> {cfsc1, cfsc2, …}`` to selectively scale column values. * Possible settings for ``PlotHighlighting`` include: | | | | --------- | ----------------------------------------------- | | Automatic | automatically highlight positions in the panels | | None | disable interactive highlighting | ### List of all options | | | | | ---------------------- | ----------------- | ---------------------------------------------------------------------------------- | | AlignmentPoint | Center | the default point in the graphic to align with | | AspectRatio | 1 | ratio of height to width for each panel | | Axes | False | whether to draw axes | | AxesLabel | None | axes labels | | AxesOrigin | Automatic | where axes should cross | | AxesStyle | {} | style specifications for the axes | | Background | None | background to use for each plot | | BaselinePosition | Automatic | how to align with a surrounding text baseline | | BaseStyle | {} | base style specifications for the graphic | | ClippingStyle | Automatic | what to draw where curves are clipped | | ColorFunction | Automatic | how to determine the coloring of curves | | ColorFunctionScaling | True | whether to scale arguments to ColorFunction | | ContentSelectable | Automatic | whether to allow contents to be selected | | CoordinatesToolOptions | Automatic | detailed behavior of the coordinates tool | | Epilog | {} | primitives rendered after the main plot | | Filling | None | filling to insert under each curve | | FillingStyle | Automatic | style to use for filling | | FormatType | TraditionalForm | the default format type for text | | Frame | Automatic | whether to draw frames around each panel | | FrameLabel | None | frame labels | | FrameStyle | {} | style specifications for the frame | | FrameTicks | Automatic | whether to label frame edges with ticks and labels | | FrameTicksStyle | {} | style specifications for frame ticks | | GridLines | Automatic | whether to include gridlines in panels | | GridLinesStyle | Automatic | style for gridlines | | HeaderAlignment | Center | horizontal and vertical alignments of headers | | HeaderBackground | Automatic | background colors to use for headers | | HeaderDisplayFunction | Automatic | function to use to format headers | | Headers | Automatic | labels to use for each data column yi | | HeaderStyle | None | styles to use for headers | | ImageMargins | 0. | the margins to leave around the graphic | | ImagePadding | All | what extra padding to allow for labels etc. | | ImageSize | Automatic | the absolute size at which to render the graphic | | Joined | Automatic | whether to join points | | LabelStyle | {} | style specifications for labels | | Mesh | None | how many mesh points to draw on each curve | | MeshFunctions | {#1&} | how to determine the placement of mesh points | | MeshShading | None | how to shade regions between mesh points | | MeshStyle | Automatic | the style for mesh points | | Method | Automatic | methods to use | | PerformanceGoal | \$PerformanceGoal | aspects of performance to try to optimize | | PlotHighlighting | Automatic | highlighting effect for points | | PlotLabel | None | an overall label for the plot | | PlotLayout | Automatic | how to arrange the panels | | PlotLegends | Automatic | legends for data | | PlotMarkers | None | markers to use to indicate each point | | PlotRange | Automatic | range of values to include | | PlotRangeClipping | True | whether to clip at the plot range | | PlotRangePadding | Automatic | how much to pad the range of values | | PlotRegion | Automatic | the final display region to be filled | | PlotStyle | Automatic | graphics directives to determine styles of points | | PlotTheme | \$PlotTheme | overall theme for the plot | | PreserveImageOptions | Automatic | whether to preserve image options when displaying new versions of the same graphic | | Prolog | {} | primitives rendered before the main plot | | ReferenceLineStyle | Automatic | style for the reference line | | RotateLabel | True | whether to rotate y labels on the frame | | ScalingFunctions | None | how to scale individual coordinates | | Spacings | Automatic | horizontal and vertical spacings | | Ticks | Automatic | axes ticks | | TicksStyle | {} | style specifications for axes ticks | | WorkingPrecision | MachinePrecision | the precision used in internal computations for symbolic distributions | --- ## Examples (53) ### Basic Examples (3) Create an array of probability plots from data with labeled columns: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«crab data»]] Out[1]= [image] ``` --- Compare all columns in a dataset: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[1]= [image] ``` --- Provide header names for the data: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Headers -> {"sepal length", "sepal width", "petal length", "petal width"}] Out[1]= [image] ``` ### Scope (3) #### Data (2) Plot datasets: ```wl In[1]:= Take[IconizedObject[«medical data»], 5] Out[1]= Dataset[{Association["age" -> 63, "cholesterol" -> 233, "blood sugar" -> 162], Association["age" -> 67, "cholesterol" -> 286, "blood sugar" -> 89], Association["age" -> 67, "cholesterol" -> 229, "blood sugar" -> 111], Association["age" -> 37, "cholesterol" -> 250, "blood sugar" -> 117], Association["age" -> 41, "cholesterol" -> 204, "blood sugar" -> 83]}] In[2]:= PairwiseProbabilityPlot[IconizedObject[«medical data»]] Out[2]= [image] ``` --- Plot arrays of values: ```wl In[1]:= Take[IconizedObject[«iris data»], 5] Out[1]= {{5.1, 3.5, 1.4, 0.2}, {4.9, 3., 1.4, 0.2}, {4.7, 3.2, 1.3, 0.2}, {4.6, 3.1, 1.5, 0.2}, {5., 3.6, 1.4, 0.2}} In[2]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[2]= [image] ``` #### Tabular Data (1) Get tabular data: ```wl In[1]:= iris = ResourceData["Sample Tabular Data: Fisher Iris"] Out[1]= Tabular[Association["RawSchema" -> Association["ColumnProperties" -> Association["Species" -> Association["ElementType" -> "String"], "SepalLength" -> Association["ElementType" -> TypeSpecifier["Quantity"]["Real64", "Centime ... Quantity[2.3, "Centimeters"], Quantity[2.5, "Centimeters"], Quantity[2.3, "Centimeters"], Quantity[1.9, "Centimeters"], Quantity[2., "Centimeters"], Quantity[2.3, "Centimeters"], Quantity[1.8, "Centimeters"]}]]}}]]]] ``` Create a pairwise array of probability plots: ```wl In[2]:= PairwiseProbabilityPlot[iris -> {"SepalLength", "SepalWidth", "PetalLength", "PetalWidth"}] Out[2]= [image] ``` Use a different theme for the plot: ```wl In[3]:= PairwiseProbabilityPlot[iris -> {"SepalLength", "SepalWidth", "PetalLength", "PetalWidth"}, PlotTheme -> "Marketing"] Out[3]= [image] ``` ### Options (47) #### AspectRatio (2) By default, ``PairwiseProbabilityPlot`` uses an equal height-to-width ratio: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[1]= [image] ``` --- Use a fixed height-to-width ratio: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], AspectRatio -> 1 / 2] Out[1]= [image] ``` #### Axes (3) By default, ``Frame`` is used instead of ``Axes`` : ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[1]= [image] ``` --- Use ``Axes -> True`` to turn on axes: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Frame -> False, Axes -> True] Out[1]= [image] ``` --- Turn each axis on independently for all subplots: ```wl In[1]:= {PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Small, Frame -> False, Axes -> {True, False}], PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Small, Frame -> False, Axes -> {False, True}]} Out[1]= [image] ``` #### AxesStyle (3) Change the style for the axes: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, Frame -> False, Axes -> True, AxesStyle -> Red] Out[1]= [image] ``` --- Specify the style of each axis: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, Frame -> False, Axes -> True, AxesStyle -> {Directive[Thick, Red], Directive[Thick, Blue]}] Out[1]= [image] ``` --- Use different styles for the ticks and the axes: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, Frame -> False, Axes -> True, AxesStyle -> Green, TicksStyle -> Black] Out[1]= [image] ``` #### Background (2) By default, ``PairwiseProbabilityPlot`` has a white background: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium] Out[1]= [image] ``` --- Set a background color: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, Background -> GrayLevel[.9]] Out[1]= [image] ``` #### ColorFunction (3) Color by scaled $x$ and $y$ coordinates: ```wl In[1]:= Table[PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Small, ColorFunction -> f, PlotLabel -> f[x, y]], {f, {Hue[#]&, Hue[#2]&}}] Out[1]= {[image], [image]} ``` --- Color with a named color scheme: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, ColorFunction -> "DarkRainbow"] Out[1]= [image] ``` --- ``ColorFunction`` has higher priority than ``PlotStyle`` for coloring: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, ColorFunction -> "DarkRainbow", PlotStyle -> Directive[Red, Thick]] Out[1]= [image] ``` #### Frame (2) On ``PairwiseProbabilityPlot``, a frame is drawn on each subplot by default: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[1]= [image] ``` --- Draw a frame on the left and bottom edges of the panels: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Frame -> {{True, False}, {True, False}}] Out[1]= [image] ``` #### FrameStyle (2) Specify the style of the frame: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, FrameStyle -> Directive[Black, Thick]] Out[1]= [image] ``` --- Specify the style for each frame edge: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, FrameStyle -> {{Directive[Black, Thick], Red}, {Directive[Gray, Thick], Blue}}] Out[1]= [image] ``` #### GridLines (2) By default, ``PairwiseProbabilityPlot`` does not draw gridlines: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[1]= [image] ``` --- Draw a background grid: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], GridLines -> Automatic, Background -> GrayLevel[.9]] Out[1]= [image] ``` #### HeaderBackground (2) By default, ``PairwiseProbabilityPlot`` uses a white header background: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Headers -> "Indexed"] Out[1]= [image] ``` --- Set a header background color: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Headers -> Automatic, HeaderBackground -> GrayLevel[.9]] Out[1]= [image] ``` #### Headers (3) By default, ``PairwiseProbabilityPlot`` does not label headers: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»]] Out[1]= [image] ``` --- Number the columns for unlabeled data: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Headers -> "Indexed"] Out[1]= [image] ``` --- Provide header names for the columns: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Headers -> {"a", "b", "c", "d"}] Out[1]= [image] ``` #### ImageSize (6) Use named sizes such as ``Tiny``, ``Small``, ``Medium``, and ``Large`` : ```wl In[1]:= {PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Tiny], PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium]} Out[1]= [image] ``` --- Specify the width of the plot: ```wl In[1]:= {PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> 200], PairwiseProbabilityPlot[IconizedObject[«iris data»], AspectRatio -> 1.5, ImageSize -> 200]} Out[1]= [image] ``` Specify the height of the plot: ```wl In[2]:= {PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> {Automatic, 200}], PairwiseProbabilityPlot[IconizedObject[«iris data»], AspectRatio -> 1.5, ImageSize -> {Automatic, 200}]} Out[2]= [image] ``` --- Allow the width and height to be up to a certain size: ```wl In[1]:= {PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> UpTo[250]], PairwiseProbabilityPlot[IconizedObject[«iris data»], AspectRatio -> 1.5, ImageSize -> UpTo[250]]} Out[1]= [image] ``` --- Specify the width and height for a graphic, padding with space if necessary: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], AspectRatio -> 1.5, Background -> LightBlue, ImageSize -> {250, 250}] Out[1]= [image] ``` Setting ``AspectRatio -> Full`` will fill the available space: ```wl In[2]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], Background -> LightBlue, ImageSize -> {250, 250}, AspectRatio -> Full] Out[2]= [image] ``` --- Use maximum sizes for the width and height: ```wl In[1]:= {PairwiseProbabilityPlot[IconizedObject[«iris data»], Background -> LightBlue, ImageSize -> {UpTo[300], UpTo[200]}], PairwiseProbabilityPlot[IconizedObject[«iris data»], Background -> LightBlue, AspectRatio -> 2, ImageSize -> {UpTo[300], UpTo[200]}]} Out[1]= [image] ``` --- Use ``ImageSize -> Full`` to fill the available space in an object: ```wl In[1]:= Framed[Pane[PairwiseProbabilityPlot[IconizedObject[«iris data»], Background -> LightBlue, ImageSize -> Full], {200, 150}]] Out[1]= [image] ``` #### Joined (2) Data is not joined by default: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium] Out[1]= [image] ``` --- Join the points: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, Joined -> True] Out[1]= [image] ``` #### PlotLayout (3) Switch the orientation of the diagonal elements: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], PlotLayout -> "Ascending"] Out[1]= [image] ``` --- Show plots below the diagonal: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], PlotLayout -> "DescendingHalfMatrix"] Out[1]= [image] ``` --- Only show plots above the diagonal: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], PlotLayout -> "AscendingHalfMatrix"] Out[1]= [image] ``` #### PlotLabel (1) Add an overall label to the plot: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, PlotLabel -> "My data"] Out[1]= [image] ``` #### PlotMarkers (3) Use open markers: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], PlotMarkers -> "OpenMarkers"] Out[1]= [image] ``` --- Change the size of the default plot markers: ```wl In[1]:= Table[PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Small, PlotMarkers -> {Automatic, s}], {s, {Tiny, Small}}] Out[1]= {[image], [image]} ``` --- Use explicit graphics for plot markers: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, PlotMarkers -> {Graphics[{Red, Circle[{0, 0}, 1]}], 0.05}] Out[1]= [image] ``` #### PlotStyle (1) Style the data using ``PlotStyle`` : ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«Iris»], PlotStyle -> Directive[Red, PointSize[Small]]] Out[1]= [image] ``` #### PlotTheme (2) Use a theme to customize the plot: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], PlotTheme -> "Backdrop"] Out[1]= [image] ``` --- Change the color scheme: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], PlotTheme -> "Business", PlotStyle -> 96] Out[1]= [image] ``` #### ReferenceLineStyle (4) ``ReferenceLineStyle`` by default uses a ``Dotted`` form of ``PlotStyle`` : ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium] Out[1]= [image] ``` --- Draw a dotted red reference line: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, ReferenceLineStyle -> Red] Out[1]= [image] ``` --- Draw a solid red reference line: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, ReferenceLineStyle -> Directive[Red, Dashing[0]]] Out[1]= [image] ``` --- Use ``None`` to turn off the reference line: ```wl In[1]:= PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Medium, ReferenceLineStyle -> None] Out[1]= [image] ``` #### Spacings (1) Change the space between the plots: ```wl In[1]:= Table[PairwiseProbabilityPlot[IconizedObject[«iris data»], ImageSize -> Small, Spacings -> s], {s, {0, 10}}] Out[1]= [image] ``` ## See Also * [`PairwiseQuantilePlot`](https://reference.wolfram.com/language/ref/PairwiseQuantilePlot.en.md) * [`PairwiseListPlot`](https://reference.wolfram.com/language/ref/PairwiseListPlot.en.md) * [`ProbabilityPlot`](https://reference.wolfram.com/language/ref/ProbabilityPlot.en.md) * [`PairwiseDensityHistogram`](https://reference.wolfram.com/language/ref/PairwiseDensityHistogram.en.md) * [`PairwiseSmoothDensityHistogram`](https://reference.wolfram.com/language/ref/PairwiseSmoothDensityHistogram.en.md) * [`ParallelAxisPlot`](https://reference.wolfram.com/language/ref/ParallelAxisPlot.en.md) * [`RadialAxisPlot`](https://reference.wolfram.com/language/ref/RadialAxisPlot.en.md) * [`BoxWhiskerChart`](https://reference.wolfram.com/language/ref/BoxWhiskerChart.en.md) * [`ListPlot`](https://reference.wolfram.com/language/ref/ListPlot.en.md) ## Related Guides * [High-Dimensional Visualization](https://reference.wolfram.com/language/guide/HighDimensionalVisualization.en.md) ## History * [Introduced in 2024 (14.0)](https://reference.wolfram.com/language/guide/SummaryOfNewFeaturesIn140.en.md) \| [Updated in 2025 (14.2)](https://reference.wolfram.com/language/guide/SummaryOfNewFeaturesIn142.en.md)