adea {adea}R Documentation

ADEA analysis to variable selection in DEA

Description

ADEA analysis, computes a score for each DMU and load ratio for each variable.

Usage

adea(
  input,
  output,
  orientation = c("input", "output"),
  load.orientation = c("inoutput", "input", "output"),
  name = "",
  eff.tolerance = 0.001
)

Arguments

input

A matrix or a data frame with the inputs of units to be evaluated, one row for each DMU and one column for each input.

output

A matrix or a data frame with the outputs of units to be evaluated, one row for each DMU and one column for each output.

orientation

Use "input" for input orientation or use "output" for output orientation in DEA model.

load.orientation

It allows the selection of variables to be included in load analysis. Its default value is "inoutput" which means that all input and all output variables will be included. Use "input" or "output" to include only input or output variables in load analysis.

name

An optional descriptive name for the model. It will be shown in print and summary results.

eff.tolerance

A value between 0 and 1 to tolerance when considering a DMU as efficient in reports.

Details

This function computes an efficiency score for each DMU, the same as in standard DEA model.

Then a load ratio for each variable is computed searching two new set of weights while keeping DMU's scores.

The load ratio of a variable is a number between 0 and 1. Where 0 means that the contribution of that variable to the efficiency computations is negligible. In an ideal case, each input or output variable will have a load of 1 divide by the number of them.

As it is usually done in DEA this load ratio has been computed as its maximum allowable value. But because the sum of all of them is 1, when one increases its load ratio any other decreases its value. So only the lowest value of all load ratios, this is load model, has a real meaning. This lowest value can be taken as a significance measure of the entire model.

Value

The function return an adea class object with the following named members:

See Also

adea-package.

Examples

data('cardealers4')
input <- cardealers4[, 1:2]
output <- cardealers4[, 3:4]

# Compute adea model
model <- adea(input, output)
model
# Dealer A  Dealer B  Dealer C  Dealer D  Dealer E  Dealer F
# 0.9915929 1.0000000 0.8928571 0.8653846 1.0000000 0.6515044

# Get model's load
model$load$load
# [1] 0.6666667

# Get model's load ratios
model$load$ratios
# $input
# Employees Depreciation
# 0.6666667    1.3333333
# $output
# CarsSold WorkOrders
# 1.2663476  0.7336524 


[Package adea version 1.1.6 Index]