Benchmarking (version 0.10)

dea.plot: Plot of DEA technologies

Description

Draw a graph of DEA technologies given various assumptions on scale of returns. Only for two goods, either isoquant (2 inputs), transformationscurve (2 outputs), or a production function (1 input and 1 output). If the number of good is larger than 2 then aggragation occur, either simple or weighted.

Usage

dea.plot(x, y, RTS="vrs", ORIENTATION="in-out", txt=NULL, add=FALSE, 
            wx=NULL, wy=NULL, TRANSPOSE = FALSE, fex=1,
            ..., RANGE=FALSE, xlim, ylim, xlab, ylab)

dea.plot.frontier(x, y, RTS="vrs",...)

dea.plot.isoquant(x1, x2, RTS="vrs",...)

dea.plot.transform(y1, y2, RTS="vrs",...)

Arguments

x

The good for the first axis

y

The good for the second axis

x1, y1

The good for the first axis

x2, y2

The good for the second axis

RTS

Assumptions for returns to scale: "fdh" (0), "vrs" (1), "drs" (2), "crs" (3), "irs" (4), "irs2" (5) (irs without convexity). To be added later "add" (6). Numbers in parenthesis can also be used as values for RTS

ORIENTATION

Input-output graph 1 input and 1 output "in-out" (0), graph of 2 inputs "in" (1), and graph of 2 outputs "out" (2).

txt

txt is an array to label the observations

add

For add=T the technology is drawn on top of an existing graph, and for the defautlt add=F a new graph is made.

wx

Weight to aggregate for the first axis if there are more than 1 good in the

wy

Weights to aggregater for the second axis if there is more than 1 good

TRANSPOSE

Only relevant for more than 1 input for each axis, see dea for a description

...

Usual options for the methods plot, lines, and abline etc.

fex

Relative size for text on observations, corresponds to cex, but only changes this size.

RANGE

A logical variable, if RANGE=TRUE the the limits for the graph is the range of the variables; zero is always included. Default is RANGE=FALSE when the range is from zero to the max values. Relevant if some values are

xlim

Possible limits c(x1,x2) for the first axis

ylim

Possible limits c(y1,y2) for the second axis

xlab

Possible label for the x-axis

ylab

Possible label for the y-axis

Value

• No return, using the original graphing system.

Details

The method dea.plot is the general plottting method, the 3 other are specialized version for frontiers, 1 input and 1 output, isoquant curves, 2 inputs for given outputs, and transformation curves, 2 outputs for given inputs.

References

Uses classical R graphics. Should be implementet in grid.

See Also

plot

Examples

x <- matrix(c(100,200,300,500,600,100),ncol=1)
y <- matrix(c(75,100,300,400,400,50),ncol=1)

dea.plot(x,y,RTS="vrs",ORIENTATION=3,txt=LETTERS[1:length(x)])
dea.plot(x,y,RTS="crs",ORIENTATION=3,add=TRUE,lty="dashed")

dea.plot.frontier(x,y,txt=1:dim(x)[1])

n <- 10
x <- matrix(1:n,,1)
y <- matrix(x^(1.6) + abs(rnorm(n)),,1)
dea.plot.frontier(x,y,RTS="irs",txt=1:n)
dea.plot.frontier(x,y,RTS="irs2",add=TRUE,lty="dotted")

id <- sample(1:n,30,replace=TRUE)
dea.plot(x[id],y[id],RTS="irs",ORIENTATION=3)
dea.plot.frontier(x[id],y[id],RTS="irs")