Produces a scatter-plot matrix for one or two sets of variables (J. Ollerton & R.W. Payne).

### Options

`PLOT` = string tokens |
Additional information to include in the scatter plots (`correlation` , `histograms` , `boxplots` , `densities` , `dothistograms` ); default `*` |
---|---|

`SCALING` = string token |
How to scale the x- and y-axes (`common` , `equal` , `none` ); default `none` |

`PEN` = scalar or variate or factor |
Pens to plot the scatter plots; default 1 |

`PENHISTOGRAM` = scalar |
Pens to plot the histograms; if `PEN` is a factor the default plots the histogram for each group separately using the pen used for that group in the scatter plots, otherwise the default is to use pen 2 |

`PENCORRELATION` = scalar |
Pen to use to write the correlations; default 1 |

`PENTITLE` = scalar |
Pen to use to write the axis titles; default uses the pens currently defined for the axes in the windows that are used for the plots |

`PENAXIS` = scalar |
Pen to use to draw the axes; default uses the currently defined pens |

`PENLABELS` = scalar |
Pen to use to write the axis labels; default uses the currently defined pens |

`NROWS` = scalar |
Number of rows of graphs to put in a single frame (i.e. page); default puts them all in one frame |

`NCOLUMNS` = scalar |
Number of columns of graphs to put in a single frame; default uses the same value as `NROWS` |

`ASPECTRATIO` = scalar |
Ratio of the length of the y-axis to the length of the x-axis in each graph |

`FRAMESHAPE` = string token |
Shape of the plotting frame (`landscape` , `portrait` , `square` ); default `squa` |

`MARGINSIZE` = scalar |
Specifies the size of the margins at the bottom and left-hand edge of the frame |

### Parameters

`Y` = pointers |
Each pointer contains a set of variates and/or factors to be plotted |
---|---|

`X` = pointers |
Each pointer contains a set of variates and/or factors to be plotted as the x-variables in a rectangular scatter-plot matrix; if unset `Y` specifies both the x-variables and y-variables for a symmetric scatter-plot matrix |

`TITLE` = texts |
Overall title for the plot |

`YTITLES` = texts |
Labels for the axes for the `Y` variates and factors, to use instead of their identifiers |

`XTITLES` = texts |
Labels for the axes for the `X` variates and factors, to use instead of their identifiers |

`YMARKS` = variates, scalars or pointers |
Marks to use on the axes for the `Y` variates and factors, if any of these contains missing values, the marks and their labels are suppressed for that variate or factor |

`XMARKS` = variates, scalars or pointers |
Marks to use on the axes for the `X` variates and factors, if any of these contains missing values, the marks and their labels are suppressed for that variate or factor |

### Description

Procedure `DMSCATTER`

produces two types of scatter-plot matrix, using high-resolution graphics. For a symmetric scatter-plot matrix, the variates and/or factors to be plotted against each other must be specified, in a pointer, by the `Y`

parameter. The scatter-plot contains a lower-triangular array of graphs, one for each pair of variables. Alternatively, for a rectangular scatter-plot matrix, there are two set of the variates and/or factors. The set that defines the y-values for the graphs are specified (in a pointer as before) by the `Y`

parameter, and those that define the x-values for the graphs are specified (also in a pointer) by the `X`

parameter. The scatter-plot now contains a rectangular array of graphs, one for each pair of x- and y-variables.

By default the identifiers of the relevant x- and y-variables are used for the titles of the axes at the lower and left-hand edges of the graphics frame (i.e. page). Alternatively, you define your own titles for the y-variables by setting the `YTITLES`

to a text with a value for each `Y`

variate or factor. Similarly, you can use the `XTITLES`

parameter to supply your own titles for the `X`

variates or factors. You can also use the `TITLE`

parameter to supply an overall title.

The `YMARKS`

parameter allows you to specify your own marks for the axes corresponding to the y-variables. (These are then used as the settings of the `MARKS`

parameter of the `YAXIS`

and `XAXIS`

directives.) You can set `YMARKS`

to single variate or scalar, if you want to use the same marks for every y-variable. Alternatively, you can set it to a pointer with a variate or factor for each `Y`

variate or factor, if you want to specify different marks. If any of the variates or scalars contains missing values, the marks and their labels are suppressed on the corresponding axes. You can use the `XMARKS`

parameter similarly, to specify axis marks for the x-variables.

The `PEN`

option specifies the pens to be used to plot the graphs. The setting can be a scalar to plot all the points with the same pen, or a variate or a factor to use different pens. If `PEN`

is set to a factor, a key is included in the plot to identify the correspondence between the pens and the groups. The default is to use pen 1.

The `PLOT`

option allows you to specify extra information to be included in the plot, with settings:

`correlation` |
prints the correlation of the pair of variables in each plot, at the top of the plot; |
---|---|

`histograms` |
plots histograms of the variables down the diagonal of a symmetric scatter-plot matrix, or along the top and down the right-hand side of a rectangular scatter-plot matrix; |

`boxplots` |
displays boxplots of the variables down the diagonal of a symmetric scatter-plot matrix, or along the top and down the right-hand side of a rectangular scatter-plot matrix; |

`densities` |
displays one-dimensional density plots (or violin plots) of the variables down the diagonal of a symmetric scatter-plot matrix, or along the top and down the right-hand side of a rectangular scatter-plot matrix; and |

`dothistograms` |
plots dot histograms of the variables down the diagonal of a symmetric scatter-plot matrix, or along the top and down the right-hand side of a rectangular scatter-plot matrix. |

Note, only one of the settings `histograms`

, `boxplots`

, `densities`

, `dothistograms`

is allowed; if more than one is set, the first item the list above is used.

The `PENHISTOGRAM`

option specifies the pens to plot the histograms. If `PEN`

is a set to a factor, the default for `PENHISTOGRAM`

plots histogram for each group, using the pen used for that group in the scatter plots. Otherwise the default is to use pen 2. The `PENCORRELATION`

option specifies the pen to use to print the correlations; default 1.

The `PENTITLE`

, `PENAXIS`

and `PENLABELS`

options define the pens to use for the titles of the x- and y-axes, for the axes themselves, and for their labels. If any of these is unset, the default is to use the pens already defined for that aspect of the axes in the windows used in the plot.

The `SCALING`

option controls the scaling of the x- and y-axes, the settings:

`equal` |
uses equal scaling for the x- and y-axes in each graph, |
---|---|

`common` |
used exactly the same axes (upper and lower limits as well as scaling) for the axes in all the graphs, |

`none` |
defines all the axes independently (the default). |

By default the plots are square, but you can request rectangular plots by setting the `ASPECTRATIO`

option to the required value for the length of the y-axis divided by the length of the x-axis.

The `MARGINSIZE`

option specifies the size of the margins at the bottom and left-hand edge of the graphics frame. If this is unset, the margins are defined automatically, using a smaller value if all the axis marks and labels on an edge have been suppressed.

The `FRAMESHAPE`

option specifies the shape of the graphics frame, with settings:

`landscape` |
for a frame of size 1.4 × 1.0 i.e. wider in the x- than the y-direction, |
---|---|

`portrait` |
for a frame of size 1.0 × 1.4 i.e. wider in the y- than the x-direction, |

`square` |
for a frame of size 1.0 × 1.0. |

Some graphics devices do not support the use of device cordinates greater than 1.0, so the default is `FRAMESHAPE=square`

. (See `FRAME`

and `DEVICE`

for more information.)

By default the graphs are all plotted in a single frame (i.e. page), but you can specify the `NROWS`

and `NCOLUMNS`

options to split them across several frames. `NROWS`

specifies the number of rows of plots to put in a single frame. The default is to fit them all into one frame. `NCOLUMNS`

specifies the number of columns of plots to put in one frame. The default is to use the same value as `NROWS`

.

Options: `PLOT`

, `SCALING`

, `PEN`

, `PENHISTOGRAM`

, `PENCORRELATION`

, `PENTITLE`

, `PENAXIS`

, `PENLABELS`

, `NROWS`

, `NCOLUMNS`

, `ASPECTRATIO`

, `FRAMESHAPE`

, `MARGINSIZE`

.

Parameters: `Y`

, `X`

, `TITLE`

, `YTITLES`

, `XTITLES`

, `YMARKS`

, `XMARKS`

.

### Action with `RESTRICT`

If any of the variates or factors is restricted, only the units not excluded by the restriction will be plotted.

### See also

Directive: `DGRAPH`

.

Procedures: `DSCATTER`

, `TRELLIS`

, `BOXPLOT`

, `DXDENSITY`

, `DOTHISTOGRAM`

, `D2GROUPS`

.

Commands for: Graphics.

### Example

CAPTION 'DMSCATTER example'; STYLE=meta SPLOAD [PRINT=*] '%GENDIR%/Data/Iris.gsh' POINTER [VALUES=Petal_Length,Petal_Width,Sepal_Length,Sepal_Width]\ Measurements DMSCATTER [PLOT=correlation,histograms; PEN=Species] Measurements