The PROBIT Procedure

CDFPLOT Statement

Summary of Options
Dictionary of Options

CDFPLOT <VAR=variable> <options> ;

The CDFPLOT statement plots the predicted cumulative distribution function (CDF) of the multinomial response variable as a function of a single continuous independent variable (dose variable). You can use this statement only after a multinomial model statement.

VAR=variable

specifies a single continuous variable (dose variable) in the independent variable list of the MODEL statement. If a VAR= variable is not specified, the first single continuous variable in the independent variable list of the MODEL statement is used. If such a variable does not exist in the independent variable list of the MODEL statement, an error is reported.

The predicted cumulative distribution function is defined as

${\hat F}_{j}(\mb {x}) = C + (1-C)F({\hat a}_ j + \mb {x}^{\prime } \mb {\hat b})$

where $j = 1,\ldots ,k$ are the indexes of the k levels of the multinomial response variable, F is the CDF of the distribution used to model the cumulative probabilities, $\mb {\hat b}$ is the vector of estimated parameters, $\mb {x}$ is the covariate vector, ${\hat a}_ j$ are estimated ordinal intercepts with ${\hat a}_1 = 0$ , and C is the threshold parameter, either known or estimated from the model. Let be the covariate corresponding to the dose variable and $\mb {x}_{-1}$ be the vector of the rest of the covariates. Let the corresponding estimated parameters be ${\hat b}_1$ and ${\mb {\hat b}}_{-1}$ . Then

$\displaystyle {\hat F}_{j}(\mb {x})= C + (1-C)F({\hat a}_ j + x_1 {\hat b}_1 + \mb {x}^{\prime }_{-1} {\mb {\hat b}}_{-1})$

To plot ${\hat F}_{j}$ as a function of , $\mb {x}_{-1}$ must be specified. You can use the XDATA= option to provide the values of $\mb {x}_{-1}$ (see the XDATA= option in the PROC PROBIT statement for details), or use the default values that follow the rules:

If the effect contains a continuous variable (or variables), the overall mean of this effect is used.
If the effect is a single classification variable, the highest level of the variable is used.

options

specify the levels of the multinomial response variable for which the CDF curves are requested, and add features to the plot. There are k – 1 curves for a k-level multinomial response variable (for the highest level, it is the constant line 1). You can specify any of them to be plotted by the LEVEL= option in the CDFPLOT statement. See the LEVEL= option for how to specify the levels.

An attached box on the right side of the plot is used to label these curves with the names of their levels. You can specify the color of this box by using the CLABBOX= option.

You can use options in the CDFPLOT statement to do the following:

superimpose specification limits
specify the levels for which the CDF curves are requested
specify graphical enhancements (such as color or text height)

Summary of Options

Table 75.2 through Table 75.8 summarize the options available in the CDFPLOT statement. The Dictionary of Options describes each option in detail.

CDF Options

Table 75.2: Options for CDFPLOT

LEVEL=(character-list)	Specifies the names of the levels for which the CDF curves are requested
NOTHRESH	Suppresses the threshold line
THRESHLABPOS=value	Specifies the position for the label of the threshold line

General Options

Table 75.3: Color Options

CAXIS=color	Specifies color for axis
CFIT=color	Specifies color for fitted curves
CFRAME=color	Specifies color for frame
CGRID=color	Specifies color for grid lines
CHREF=color	Specifies color for HREF= lines
CLABBOX=color	Specifies color for label box
CTEXT=color	Specifies color for text
CVREF=color	Specifies color for VREF= lines

Table 75.4: Options to Enhance Plots Produced on Graphics Devices

ANNOTATE=SAS-data-set	Specifies an Annotate data set
INBORDER	Requests a border around plot
LFIT=linetype	Specifies line style for fitted curves
LGRID=linetype	Specifies line style for grid lines
NOFRAME	Suppresses the frame around plotting areas
NOGRID	Suppresses grid lines
NOFIT	Suppresses CDF curves
NOHLABEL	Suppresses horizontal labels
NOHTICK	Suppresses horizontal ticks
NOVTICK	Suppresses vertical ticks
TURNVLABELS	Vertically strings out characters in vertical labels
WFIT=n	Specifies thickness for fitted curves
WGRID=n	Specifies thickness for grids
WREFL=n	Specifies thickness for reference lines

Table 75.5: Axis Options

HAXIS=value1 to value2<by value3>	Specifies tick mark values for horizontal axis
HOFFSET=value	Specifies offset for horizontal axis
HLOWER=value	Specifies lower limit on horizontal axis scale
HUPPER=value	Specifies upper limit on horizontal axis scale
NHTICK=n	Specifies number of ticks for horizontal axis
NVTICK=n	Specifies number of ticks for vertical axis
VAXIS=value1 to value2<by value3>	Specifies tick mark values for vertical axis
VAXISLABEL=’label’	Specifies label for vertical axis
VOFFSET=value	Specifies offset for vertical axis
VLOWER=value	Specifies lower limit on vertical axis scale
VUPPER=value	Specifies upper limit on vertical axis scale
WAXIS=n	Specifies thickness for axis

Table 75.6: Graphics Catalog Options

DESCRIPTION=’string’	Specifies description for graphics catalog member
NAME=’string’	Specifies name for plot in graphics catalog

Table 75.7: Options for Text Enhancement

FONT=font	Specifies software font for text
HEIGHT=value	Specifies height of text outside framed areas
INHEIGHT=value	Specifies height of text inside framed areas

Table 75.8: Options for Reference Lines

HREF< (INTERSECT)>=value-list	Requests horizontal reference line
HREFLABELS=(’label1’,…,’labeln’)	Specifies labels for HREF= lines
HREFLABPOS=n	Specifies vertical position of labels for HREF= lines
LHREF=linetype	Specifies line style for HREF= lines
LVREF=linetype	Specifies line style for VREF= lines
VREF<(INTERSECT)>=value-list	Requests vertical reference line
VREFLABELS=(’label1’,…,’labeln’)	Specifies labels for VREF= lines
VREFLABPOS=n	Specifies horizontal position of labels for VREF= lines

Dictionary of Options

The following entries provide detailed descriptions of the options in the CDFPLOT statement.

ANNOTATE=SAS-data-set ANNO=SAS-data-set

specifies an Annotate data set, as described in SAS/GRAPH: Reference, that enables you to add features to the CDF plot. The ANNOTATE= data set you specify in the CDFPLOT statement is used for all plots created by the statement.

CAXIS=color CAXES=color

specifies the color used for the axes and tick marks. This option overrides any COLOR= specifications in an AXIS statement. The default is the first color in the device color list.

CFIT=color

specifies the color for the fitted CDF curves. The default is the first color in the device color list.

CFRAME=color CFR=color

specifies the color for the area enclosed by the axes and frame. This area is not shaded by default.

CGRID=color

specifies the color for grid lines. The default is the first color in the device color list.

CLABBOX=color

specifies the color for the area enclosed by the label box for CDF curves. This area is not shaded by default.

CHREF=color CH=color

specifies the color for lines requested by the HREF= option. The default is the first color in the device color list.

CTEXT=color

specifies the color for tick mark values and axis labels. The default is the color specified for the CTEXT= option in the most recent GOPTIONS statement.

CVREF=color CV=color

specifies the color for lines requested by the VREF= option. The default is the first color in the device color list.

DESCRIPTION=“string” DES=“string”

specifies a description, up to 40 characters, that appears in the PROC GREPLAY master menu. The default is the variable name.

FONT=font

specifies a software font for reference line and axis labels. You can also specify fonts for axis labels in an AXIS statement. The FONT= font takes precedence over the FTEXT= font specified in the most recent GOPTIONS statement. Hardware characters are used by default.

HAXIS=value1 to value2 <by value3>

specifies tick mark values for the horizontal axis; value1, value2, and value3 must be numeric, and value1 must be less than value2. The lower tick mark is value1. Tick marks are drawn at increments of value3. The last tick mark is the greatest value that does not exceed value2. If value3 is omitted, a value of 1 is used.

Examples of HAXIS= lists follow:

   haxis = 0 to 10
   haxis = 2 to 10 by 2
   haxis = 0 to 200 by 10

HEIGHT=value

specifies the height of text used outside framed areas. The default value is 3.846 (in percentage).

HLOWER=value

specifies the lower limit on the horizontal axis scale. The HLOWER= option specifies value as the lower horizontal axis tick mark. The tick mark interval and the upper axis limit are determined automatically. This option has no effect if the HAXIS= option is used.

HOFFSET=value

specifies offset for horizontal axis. The default value is 1.

HUPPER=value

specifies value as the upper horizontal axis tick mark. The tick mark interval and the lower axis limit are determined automatically. This option has no effect if the HAXIS= option is used.

HREF <(INTERSECT)> =value-list

requests reference lines perpendicular to the horizontal axis. If (INTERSECT) is specified, a second reference line perpendicular to the vertical axis is drawn that intersects the fit line at the same point as the horizontal axis reference line. If a horizontal axis reference line label is specified, the intersecting vertical axis reference line is labeled with the vertical axis value. See also the CHREF=, HREFLABELS=, and LHREF= options.

HREFLABELS=’label1’,…,’labeln’ HREFLABEL=’label1’,…,’labeln’ HREFLAB=’label1’,…,’labeln’

specifies labels for the lines requested by the HREF= option. The number of labels must equal the number of lines. Enclose each label in quotes. Labels can be up to 16 characters.

HREFLABPOS=n

specifies the vertical position of labels for HREF= lines. The following table shows valid values for n and the corresponding label placements.

n	Label Placement
1	Top
2	Staggered from top
3	Bottom
4	Staggered from bottom
5	Alternating from top
6	Alternating from bottom

INBORDER

requests a border around CDF plots.

INHEIGHT=value

Specifies height of text inside framed areas.

LEVEL=(character-list) ORDINAL=(character-list)

specifies the names of the levels for which CDF curves are requested. Names should be quoted and separated by space. If there is no correct name provided, no CDF curve is plotted.

LFIT=linetype

specifies a line style for fitted curves. By default, fitted curves are drawn by connecting solid lines (linetype = 1).

LGRID=linetype

specifies a line style for all grid lines. linetype is between 1 and 46. The default is 35.

LHREF=linetype LH=linetype

specifies the line type for lines requested by the HREF= option. The default is 2, which produces a dashed line.

LVREF=linetype LV=linetype

specifies the line type for lines requested by the VREF= option. The default is 2, which produces a dashed line.

NAME=’string’

specifies a name for the plot, up to eight characters, that appears in the PROC GREPLAY master menu. The default is ’PROBIT’.

NHTICK=n

Specifies number of ticks for horizontal axis.

NVTICK=n

Specifies number of ticks for vertical axis.

NOFIT

suppresses the fitted CDF curves.

NOFRAME

suppresses the frame around plotting areas.

NOGRID

suppresses grid lines.

NOHLABEL

suppresses horizontal labels.

NOHTICK

suppresses horizontal tick marks.

NOTHRESH

suppresses the threshold line.

NOVLABEL

suppresses vertical labels.

TURNVLABELS

vertically strings out characters in vertical labels.

NOVTICK

suppresses vertical tick marks.

THRESHLABPOS=n

specifies the horizontal position of labels for the threshold line. The following table shows valid values for n and the corresponding label placements.

n	Label Placement
1	Left
2	Right

VAXIS=value1 to value2 <by value3>

specifies tick mark values for the vertical axis; value1, value2, and value3 must be numeric, and value1 must be less than value2. The lower tick mark is value1. Tick marks are drawn at increments of value3. The last tick mark is the greatest value that does not exceed value2. This method of specification of tick marks is not valid for logarithmic axes. If value3 is omitted, a value of 1 is used.

Examples of VAXIS= lists follow:

   vaxis = 0 to 10
   vaxis = 0 to 2 by .1

VAXISLABEL=’string’

specifies a label for the vertical axis.

VLOWER=value

specifies the lower limit on the vertical axis scale. The VLOWER= option specifies value as the lower vertical axis tick mark. The tick mark interval and the upper axis limit are determined automatically. This option has no effect if the VAXIS= option is used.

VOFFSET=value

specifies the offset for the vertical axis.

VREF=value-list

requests reference lines perpendicular to the vertical axis. If (INTERSECT) is specified, a second reference line perpendicular to the horizontal axis is drawn that intersects the fit line at the same point as the vertical axis reference line. If a vertical axis reference line label is specified, the intersecting horizontal axis reference line is labeled with the horizontal axis value. See also the CVREF=, LVREF=, and VREFLABELS= options.

VREFLABELS=’label1’,…,’labeln’ VREFLABEL=’label1’,…,’labeln’ VREFLAB=’label1’,…,’labeln’

specifies labels for the lines requested by the VREF= option. The number of labels must equal the number of lines. Enclose each label in quotes. Labels can be up to 16 characters.

VREFLABPOS=n

specifies the horizontal position of labels for VREF= lines. The following table shows valid values for n and the corresponding label placements.

n	Label Placement
1	Left
2	Right

VUPPER=value

specifies the upper limit on the vertical axis scale. The VUPPER= option specifies value as the upper vertical axis tick mark. The tick mark interval and the lower axis limit are determined automatically. This option has no effect if the VAXIS= option is used.

WAXIS=n

specifies line thickness for axes and frame. The default value is 1.

WFIT=n

specifies line thickness for fitted curves. The default value is 1.

WGRID=n

specifies line thickness for grids. The default value is 1.

WREFL=n

specifies line thickness for reference lines. The default value is 1.