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Quantile Data Envelopment Analysis

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Overview

About

R implementation of Quantile Data Envelopment Analysis. The package 'qDEA' allows a user specified proportion of observations to lie external to a given Decision Making Units's (DMU's)reference hyperplane. 'qDEA' can be used to detect and address influential outliers or to implement quantile benchmarking, as discussed in Atwood and Shaik (2020). Quantile benchmarking is accomplished by using heuristic procedures to find a DMU's closest input-output projection point in a specified direction while allowing a specified proportion of observations to lie external to the projected point's hyperplane. The 'qDEA' package accommodates standard (DEA) and quantile DEA estimation, returns to scale CRS(constant),VRS(variable),DRS(decreasing) or IRS(increasing), the use of directional vectors, bias correction through subsample bootstrapping and subsample size selection procedures. The user can also recover each DMU's reference DMUs and external DMUs if desired. The implemented procedures are based on discussions in: Atwood and Shaik (2020) doi:10.1016/j.ejor.2020.03.054 Atwood and Shaik (2018) doi:10.1007/978-3-319-68678-3_4 Walden and Atwood (2023) doi:10.1086/724932 Walden and Atwood (2025) doi:10.1086/736554.

Changes in 1.0.0

Initial CRAN Release

  • First public release of qDEA package
  • Implements quantile Data Envelopment Analysis methods
  • Main function qDEA() for efficiency analysis with multiple orientations
  • Support for various returns to scale specifications (CRS, VRS, DRS, IRS)
  • Bootstrap bias correction procedures
  • Subsample size selection following Simar and Wilson (2011)
  • Helper functions for DEA model building and LP solving
  • Four example datasets from Cooper, Seiford, and Tone (2006)
  • Integration with highs solver for linear programming

Key Features

  • Standard DEA and quantile DEA (qDEA) estimation
Show all changes in 1.0.0Hide the rest of the changes in 1.0.0
  • Multiple model orientations: input, output, graph, hyperbolic, and directional distance
  • Iterative qDEA with convergence testing
  • Bootstrap-based bias correction
  • Peer identification and projection calculations
  • Comprehensive documentation with examples

From NEWS.md in the release

Install

Health

CRAN checks
13OK
Slowest check: 1.7 min · r-oldrel-windows-x86_64
Status changes
  • OK13 OK2026-08-05
  • NOTE12 OK, 1 NOTE2026-08-01
  • OK13 OK2026-06-09
  • ERROR12 OK, 1 ERROR2026-06-08
  • OK5 OK2026-04-14
Advisories

none known

Documentation

In release 1.0.0
READMEYes · 268 wordsVignettesYes · 2 · dynamicNEWSYes · 67% structured · mentions 1.0.0Citation fileNoWebsitenot declared in DESCRIPTION
Help pages
24
Examples that run
100%5 run in a plain check
Exported functions with examples
26%
Documented parameters
100%
Return-value docs
100%
Help pages citing references
0%

Downloads

2.1K
CRAN downloads in the past year
Rank #16,100 · ~6/day · ~176/mo
Daily download trend is not available in this view yet.
28630 days
75990 days
2.1K1 year
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Dependencies

Declared dependencies
5 external dependencies (excludes base and recommended)

Installing qDEA adds 46 packages (27 with compiled code, 44 MB of source tarballs). Heaviest: stringi 11 MB, ggplot2 6.0 MB, doBy 4.3 MB.

Depends (1)
R >= 4.2
Imports (5)
dplyrdoByhighsMatrixutils
LinkingTo (0)
none
Suggests (2)
Enhances (0)
none
Reverse dependencies
0direct
0indirect

Nothing depends on this yet.

Datasets

People & History

People (2)
Author, Maintainer since 1.0.0 (2026)
Releases (1)
  • R
    R 4.6.0 released · 2026-04-24
  • 1.0.0Latest
    2026-04-13 · current release
  • R
    R 4.5.0 released · 2025-04-11

Package metadata

First published
2026-04-13
Total releases
1 / 1 yrs
License
GPL-2 | GPL-3 OSI
Minimum R
≥ 4.2
Bundled data
1.0 KB / 4 files
Download size
105 KB

Cite

Cite this package

Run in R for the authors' preferred citation:

citation("qDEA")
Atwood, J., & Walden, J. (2026). qDEA: Quantile Data Envelopment Analysis (Version 1.0.0) [Computer software]. https://doi.org/10.32614/CRAN.package.qDEA

This package has no citation file, so citation() returns this entry built from DESCRIPTION.

Cite the R Observatory

For a number measured here: a download total, a coverage figure, an archival date.

APA

Balamuta, J. J. (2026). R Observatory: Metrics for qDEA version 1.0.0 [Data set]. HJJB, LLC. Data release v2026-10-18. https://doi.org/10.5281/zenodo.21843040

From data release v2026-10-18, which the citation names so these numbers can be found later. More on citing and the projects behind them.

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