Description Usage Arguments Details Value Author(s) References See Also Examples

Solve input(output)-oriented DEA under the CRS (VRS) with convexhull. Do not use when the total number of inputs and outputs are greater than eight. If used, it may take more than hundreds day to get results.

1 2 | ```
effdea.b.f(base = NULL, frontier = NULL, noutput = 1,
orientation=1, rts = 1, convhull = TRUE)
``` |

`base` |
A data set for DMUs to be evaluated. A data frame with J1*(M+N) dimention, where J1 is the number of DMUs, M for the number of inputs, and N for the number of outputs. |

`frontier` |
A data set for DMUs to be used in constructing a production possibility set (PPS). A data frame with J2*(M+N) dimention, where J2 is the number of DMUs, M for the number of inputs, and N for the number of outputs. |

`noutput` |
The number of outputs (N). |

`orientation` |
Orientation of measurement. 1 for the input-oriented measure, and 2 for the output-oriented measure. |

`rts` |
Returns to scale. 1 for the CRS assumption, and 2 for the VRS assumption. |

`convhull` |
Logical. If this is TRUE, very efficient calculation of efficiency score is used. However, when the total number of inputs and outputs is larger than eight, it is very slow for this option. In cases when the total number of inputs and outputs is larger than eight, use FALSE for this argument. |

This function uses the convhull function in geometry package. After
finding convex hull of *frontier* by using the convhull
function. points on the convex hull are used in constructing
the second production possibility set (PPS). Then efficiency scores in
*base* are calculated based on the second PPS.

A data frame with J1*1 dimension, which shows efficiency scores.

Dong-hyun Oh, oh.donghyun77@gmail.com

Cooper, W., Seiford, L. and Tone, K. (2007). *Data envelopment
analysis: a comprehensive text with models, applications, references
and DEA-solver software* (2nd ed.). Springer Verlag, New York.

Lee, J. and Oh, D. (forthcoming). *Efficiency Analysis: Data
Envelopment Analysis*. Press (in Korean)

1 2 3 4 5 | ```
## input-oriented DEA under the CRS assumption (1 input and 1 output)
tab3.1.dat <- data.frame(y = c(1, 2, 4, 6, 7, 9, 9),
x = c(3, 2, 6, 4, 8, 8, 10))
(re <- effdea.b.f(base = tab3.1.dat, noutput = 1, orientation = 1, rts =
1, convhull = TRUE))
``` |

```
Loading required package: lpSolve
Loading required package: gdata
gdata: read.xls support for 'XLS' (Excel 97-2004) files ENABLED.
gdata: read.xls support for 'XLSX' (Excel 2007+) files ENABLED.
Attaching package: 'gdata'
The following object is masked from 'package:stats':
nobs
The following object is masked from 'package:utils':
object.size
The following object is masked from 'package:base':
startsWith
Loading required package: Hmisc
Loading required package: lattice
Loading required package: survival
Loading required package: Formula
Loading required package: ggplot2
Attaching package: 'Hmisc'
The following objects are masked from 'package:base':
format.pval, units
Loading required package: rms
Loading required package: SparseM
Attaching package: 'SparseM'
The following object is masked from 'package:base':
backsolve
Loading required package: geometry
Loading required package: psych
Attaching package: 'psych'
The following object is masked from 'package:Hmisc':
describe
The following objects are masked from 'package:ggplot2':
%+%, alpha
Loading required package: pwt
Package 'pwt' provides Penn World Table versions 5.6, 6.x, 7.x.
For more recent versions see package 'pwt8' (or subsequent packages).
eff
1 0.2222222
2 0.6666667
3 0.4444444
4 1.0000000
5 0.5833333
6 0.7500000
7 0.6000000
```

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