# plot.roc: Plot a ROC curve In pROC: Display and Analyze ROC Curves

 plot.roc R Documentation

## Plot a ROC curve

### Description

This function plots a ROC curve. It can accept many arguments to tweak the appearance of the plot. Two syntaxes are possible: one object of class “roc”, or either two vectors (response, predictor) or a formula (response~predictor) as in the `roc` function.

### Usage

``````## S3 method for class 'roc'
plot(x, ...)
## S3 method for class 'smooth.roc'
plot(x, ...)
## S3 method for class 'roc'
axes=TRUE, legacy.axes=FALSE,
# Generic arguments for par:
xlim=if(x\$percent){c(100, 0)} else{c(1, 0)},
ylim=if(x\$percent){c(0, 100)} else{c(0, 1)},
xlab=ifelse(x\$percent, ifelse(legacy.axes, "100 - Specificity (%)", "Specificity (%)"),
ifelse(legacy.axes, "1 - Specificity", "Specificity")),
ylab=ifelse(x\$percent, "Sensitivity (%)", "Sensitivity"),
asp=1,
mar=c(4, 4, 2, 2)+.1,
mgp=c(2.5, 1, 0),
# col, lty and lwd for the ROC line only
col=par("col"),
lty=par("lty"),
lwd=2,
type="l",
# Identity line
identity.col="darkgrey",
identity.lty=1,
identity.lwd=1,
# Print the thresholds on the plot
print.thres=FALSE,
print.thres.pch=20,
print.thres.col="black",
print.thres.pattern=ifelse(x\$percent, "%.1f (%.1f%%, %.1f%%)", "%.3f (%.3f, %.3f)"),
print.thres.cex=par("cex"),
print.thres.pattern.cex=print.thres.cex,
print.thres.best.method=NULL,
print.thres.best.weights=c(1, 0.5),
# Print the AUC on the plot
print.auc=FALSE,
print.auc.pattern=NULL,
print.auc.x=ifelse(x\$percent, 50, .5),
print.auc.y=ifelse(x\$percent, 50, .5),
print.auc.col=col,
print.auc.cex=par("cex"),
# Grid
grid=FALSE,
grid.v={if(is.logical(grid) && grid[1]==TRUE)
{seq(0, 1, 0.1) * ifelse(x\$percent, 100, 1)}
else if(is.numeric(grid))
{seq(0, ifelse(x\$percent, 100, 1), grid[1])} else {NULL}},
grid.h={if (length(grid) == 1) {grid.v}
else if (is.logical(grid) && grid[2]==TRUE)
{seq(0, 1, 0.1) * ifelse(x\$percent, 100, 1)}
else if(is.numeric(grid))
{seq(0, ifelse(x\$percent, 100, 1), grid[2])} else {NULL}},
grid.lty=3,
grid.lwd=1,
grid.col="#DDDDDD",
# Polygon for the AUC
auc.polygon=FALSE,
auc.polygon.col="gainsboro",
auc.polygon.lty=par("lty"),
auc.polygon.density=NULL,
auc.polygon.angle=45,
auc.polygon.border=NULL,
# Polygon for the maximal AUC possible
max.auc.polygon=FALSE,
max.auc.polygon.col="#EEEEEE",
max.auc.polygon.lty=par("lty"),
max.auc.polygon.density=NULL,
max.auc.polygon.angle=45,
max.auc.polygon.border=NULL,
# Confidence interval
ci=!is.null(x\$ci),
ci.type=c("bars", "shape", "no"),
ci.col=ifelse(ci.type=="bars", par("fg"), "gainsboro"),
...)
## S3 method for class 'formula'
plot.roc(x, data, subset, na.action, ...)
## Default S3 method:
plot.roc(x, predictor, ...)
## S3 method for class 'smooth.roc'
plot.roc(x, ...)

``````

### Arguments

 `x` a roc object from the roc function (for plot.roc.roc), a formula (for plot.roc.formula) or a response vector (for plot.roc.default). `predictor, data` arguments for the roc function. `subset,na.action` arguments for `model.frame` `add` if TRUE, the ROC curve will be added to an existing plot. If FALSE (default), a new plot will be created. `reuse.auc` if `TRUE` (default) and the “roc” object contains an “auc” field, re-use these specifications for the plot (specifically `print.auc`, `auc.polygon` and `max.auc.polygon` arguments). See details. `axes` a logical indicating if the plot axes must be drawn. `legacy.axes` a logical indicating if the specificity axis (x axis) must be plotted as as decreasing “specificity” (`FALSE`, the default) or increasing “1 - specificity” (`TRUE`) as in most legacy software. This affects only the axis, not the plot coordinates. `xlim, ylim, xlab, ylab, asp, mar, mgp` Generic arguments for the plot. See plot and plot.window for more details. Only used if `add=FALSE`. `col,lty, lwd` color, line type and line width for the ROC curve. See par for more details. `type` type of plotting as in `plot`. `identity` logical: whether or not the identity line (no discrimination line) must be displayed. Default: only on new plots. `identity.col, identity.lty, identity.lwd` color, line type and line width for the identity line. Used only if identity=TRUE. See par for more details. `print.thres` Should a selected set of thresholds be displayed on the ROC curve? `FALSE`, `NULL` or “no”: no threshold is displayed. `TRUE` or “best”: the threshold with the highest sum sensitivity + specificity is plotted (this might be more than one threshold). “all”: all the points of the ROC curve. “local maximas”: all the local maximas. Numeric vector: direct definition of the thresholds to display. Note that on a smoothed ROC curve, only “best” is supported. ```print.thres.pch, print.thres.adj, print.thres.col, print.thres.cex``` the plotting character (pch), text string adjustment (adj), color (col) and character expansion factor (cex) parameters for the printing of the thresholds. See points and par for more details. `print.thres.pattern` the text pattern for the thresholds, as a sprintf format. Three numerics are passed to sprintf: threshold, specificity, sensitivity. `print.thres.pattern.cex` the character expansion factor (cex) for the threshold text pattern. See par for more details. `print.thres.best.method, print.thres.best.weights` if `print.thres="best"` or `print.thres=TRUE`, what method must be used to determine which threshold is the best. See argument `best.method` and `best.weights` to `coords` for more details. `print.auc` boolean. Should the numeric value of AUC be printed on the plot? `print.auc.pattern` the text pattern for the AUC, as a sprintf format. If NULL, a reasonable value is computed that takes partial AUC, CI and percent into account. If the CI of the AUC was computed, three numerics are passed to sprintf: AUC, lower CI bound, higher CI bound. Otherwise, only AUC is passed. `print.auc.x, print.auc.y` x and y position for the printing of the AUC. `print.auc.adj, print.auc.cex, print.auc.col` the text adjustment, character expansion factor and color for the printing of the AUC. See par for more details. `grid` boolean or numeric vector of length 1 or 2. Should a background grid be added to the plot? Numeric: show a grid with the specified interval between each line; Logical: show the grid or not. Length 1: same values are taken for horizontal and vertical lines. Length 2: grid value for vertical (grid[1]) and horizontal (grid[2]). Note that these values are used to compute grid.v and grid.h. Therefore if you specify a grid.h and grid.v, it will be ignored. `grid.v, grid.h` numeric. The x and y values at which a vertical or horizontal line (respectively) must be drawn. NULL if no line must be added. `grid.lty, grid.lwd, grid.col` the line type (lty), line width (lwd) and color (col) of the lines of the grid. See par for more details. Note that you can pass vectors of length 2, in which case it specifies the vertical (1) and horizontal (2) lines. `auc.polygon` boolean. Whether or not to display the area as a polygon. ```auc.polygon.col, auc.polygon.lty, auc.polygon.density, auc.polygon.angle, auc.polygon.border``` color (col), line type (lty), density, angle and border for the AUC polygon. See `polygon` and `par` for more details. `max.auc.polygon` boolean. Whether or not to display the maximal possible area as a polygon. ```max.auc.polygon.col, max.auc.polygon.lty, max.auc.polygon.density, max.auc.polygon.angle, max.auc.polygon.border``` color (col), line type (lty), density, angle and border for the maximum AUC polygon. See `polygon` and `par` for more details. `ci` boolean. Should we plot the confidence intervals? `ci.type, ci.col` `type` and `col` arguments for `plot.ci`. The special value “no” disables the plotting of confidence intervals. `...` further arguments passed to or from other methods, especially arguments for `roc` and `plot.roc.roc` when calling `plot.roc.default` or `plot.roc.formula`. Note that the `plot` argument for `roc` is not allowed. Arguments for `auc` and graphical functions `plot`, `abline`, `polygon`, `points`, `text` and `plot.ci` if applicable.

### Details

This function is typically called from `roc` when plot=TRUE (not by default). `plot.roc.formula` and `plot.roc.default` are convenience methods that build the ROC curve (with the `roc` function) before calling `plot.roc.roc`. You can pass them arguments for both `roc` and `plot.roc.roc`. Simply use `plot.roc` that will dispatch to the correct method.

The plotting is done in the following order:

1. A new plot is created if `add=FALSE`.

2. The grid is added if `grid.v` and `grid.h` are not NULL.

3. The maximal AUC polygon is added if `max.auc.polygon=TRUE`.

4. The CI shape is added if `ci=TRUE`, `ci.type="shape"` and `x\$ci` isn't a “ci.auc”.

5. The AUC polygon is added if `auc.polygon=TRUE`.

6. The identity line if `identity=TRUE`.

7. The actual ROC line is added.

8. The CI bars are added if `ci=TRUE`, `ci.type="bars"` and `x\$ci` isn't a “ci.auc”.

9. The selected thresholds are printed if `print.thres` is `TRUE` or numeric.

10. The AUC is printed if `print.auc=TRUE`.

Graphical functions are called with suppressWarnings.

### Value

This function returns a list of class “roc” invisibly. See roc for more details.

### AUC specification

For `print.auc`, `auc.polygon` and `max.auc.polygon` arguments, an AUC specification is required. By default, the total AUC is plotted, but you may want a partial AUCs. The specification is defined by:

1. the “auc” field in the “roc” object if `reuse.auc` is set to `TRUE` (default). It is naturally inherited from any call to `roc` and fits most cases.

2. passing the specification to `auc` with ... (arguments `partial.auc`, `partial.auc.correct` and `partial.auc.focus`). In this case, you must ensure either that the `roc` object do not contain an `auc` field (if you called `roc` with `auc=FALSE`), or set `reuse.auc=FALSE`.

If `reuse.auc=FALSE` the `auc` function will always be called with `...` to determine the specification, even if the “roc” object do contain an `auc` field.

As well if the “roc” object do not contain an `auc` field, the `auc` function will always be called with `...` to determine the specification.

Warning: if the roc object passed to plot.roc contains an `auc` field and `reuse.auc=TRUE`, auc is not called and arguments such as `partial.auc` are silently ignored.

### References

Xavier Robin, Natacha Turck, Alexandre Hainard, et al. (2011) “pROC: an open-source package for R and S+ to analyze and compare ROC curves”. BMC Bioinformatics, 7, 77. DOI: \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1186/1471-2105-12-77")}.

`roc`, `auc`, `ci`

### Examples

``````
# Create a few ROC curves:
data(aSAH)
roc.s100b <- roc(aSAH\$outcome, aSAH\$s100b)
roc.wfns <- roc(aSAH\$outcome, aSAH\$wfns)
roc.ndka <- roc(aSAH\$outcome, aSAH\$wfns)

# Simple example:
plot(roc.s100b)

legend("bottomright", legend=c("Empirical", "Smoothed"),
col=c(par("fg"), "blue"), lwd=2)

# With more options:
plot(roc.s100b, print.auc=TRUE, auc.polygon=TRUE, grid=c(0.1, 0.2),
grid.col=c("green", "red"), max.auc.polygon=TRUE,
auc.polygon.col="lightblue", print.thres=TRUE)

# To plot a different partial AUC, we need to ignore the existing value
# with reuse.auc=FALSE:
plot(roc.s100b, print.auc=TRUE, auc.polygon=TRUE, partial.auc=c(1, 0.8),
partial.auc.focus="se", grid=c(0.1, 0.2), grid.col=c("green", "red"),
max.auc.polygon=TRUE, auc.polygon.col="lightblue",
reuse.auc=FALSE)

# Add a second ROC curve to the previous plot:

# Plot some thresholds, add them to the same plot
plot(roc.ndka, print.thres="best", print.thres.best.method="youden")
plot(roc.ndka, print.thres="best", print.thres.best.method="closest.topleft",