Benchmarking of contributory organisations within the framework of technical efficiency
and | Apr 24, 2019
Published Online: Apr 24, 2019
Page range: 80 - 91
Received: Nov 05, 2018
Accepted: Mar 05, 2019
DOI: https://doi.org/10.2478/emj-2019-0006
© 2019 Žaneta Rylková, Jarmila Šebestová published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Results of the Y-model according to CRS and VRS in 2015-2017
| 2015 | 2016 | 2017 | ||||
|---|---|---|---|---|---|---|
| CRS | VRS | CRS | VRS | CRS | VRS | |
| HE1 | 1.0076 | 1.0000 | 1.0027 | 1.0031 | 1.0022 | 1.0020 |
| HE2 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
| HE3 | 1.0057 | 1.0056 | 1.0036 | 1.0036 | 1.0002 | 1.0007 |
| HE4 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
| HE5 | 1.0000 | 1.0000 | 1.0026 | 1.0000 | 1.0031 | 1.0000 |
| HE6 | 1.0037 | 1.0016 | 1.0000 | 1.0000 | 1.0000 | 1.0017 |
Results of the Model X within constant yields from a range (CRS) and variable yields form a range (VRS)
| 2015 | HE1 | HE2 | HE3 | HE4 | HE5 | HE6 | |
|---|---|---|---|---|---|---|---|
| CRS | 0.8421 | 0.9263 | 0.9011 | 1.0000 | 0.9297 | 0.8362 | |
| VRS | 0.9485 | 0.9752 | 0.9926 | 1.0000 | 0.9808 | 0.8691 | |
| CRS | 0.8726 | 1.0000 | 0.9161 | 0.9696 | 0.9247 | 1.0000 | |
| VRS | 0.9652 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | |
| CRS | 0.8253 | 1.0000 | 0.9428 | 0.9375 | 1.0000 | 0.9337 | |
| VRS | 1.0000 | 1.0000 | 1.0000 | 0.9617 | 1.0000 | 1.0000 |
Results of the Model X according to CRS and VRS in 2015-2017
| 2015 | 2016 | 2017 | ||||
|---|---|---|---|---|---|---|
| CRS | VRS | CRS | VRS | CRS | VRS | |
| HE1 | 0.8421 | 0.9485 | 0.8726 | 0.9652 | 0.8253 | 1.0000 |
| HE2 | 0.9263 | 0.9752 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
| HE3 | 0.9011 | 0.9926 | 0.9161 | 1.0000 | 0.9428 | 1.0000 |
| HE4 | 1.0000 | 1.0000 | 0,9696 | 1.0000 | 0.9375 | 0.9617 |
| HE5 | 0.9297 | 0.9808 | 0.9247 | 1.0000 | 1.0000 | 1.0000 |
| HE6 | 0.8362 | 0.8691 | 1.0000 | 1.0000 | 0.9337 | 1.0000 |
Comparison of technical efficiency in different sources based on DEA
| Authors | Country | Focus group/sample | period | Technical efficiency |
|---|---|---|---|---|
| Case study | CZ | Retirement homes (6) | 2015-2017 | 85% to 93% |
| CZ | Eye care clinics (4) | 2009-2011 | 80% | |
| CZ | Hospitals (22) | 2003 | 86% | |
| Vaňková & Vrabková, 2014 | CZ | Hospitals (17) | 2010-2012 | Average 90% |
| FI | Nursing homes (65) | 1995 | 85% to 87% | |
| IT | Nursing homes (40) | 3 years | 78% to 85% | |
| Luasa et al., 2013 | IRL | Nursing homes (39) | - | 63% |
Aggregate performance results of the Model X Constant Yields from a Range (CRS)
| [%] | 2015 | 2016 | 2017 |
|---|---|---|---|
| 100 | HE4 | HE2, HE6 | HE2, HE5 |
| 99 – 90 | HE2, HE3, HE5 | HE3, HE4, HE5 | HE3, HE4, HE6 |
| 89 – 85 | HE1 | ||
| 84 – 80 | HE1, HE6 | HE1 |
Basic statistical characteristics of inputs and outputs of the Model X for 2015-2017
| 2015 | 2016 | 2017 | |
|---|---|---|---|
| min | |||
| x1 | 1.02 | 1.03 | 1.01 |
| x2 | 197.11 | 203.32 | 211.36 |
| y1 | 388.61 | 402.46 | 415.12 |
| max | |||
| xl | 2.08 | 2.03 | 1.98 |
| x2 | 301.12 | 318.18 | 329.76 |
| y1 | 451.25 | 464.51 | 472.31 |
| mean | |||
| xl | 1.43 | 1.44 | 1.42 |
| x2 | 225.34 | 232.79 | 242.06 |
| y1 | 423.93 | 427.09 | 443.54 |
| standard deviation | |||
| x1 | 0.33 | 0.29 | 0.28 |
| x2 | 34.57 | 39.14 | 40.27 |
| y1 | 22.22 | 26.42 | 26.91 |
Summary performance results of variable yields from a range (VRS) in the Model Y
| [%] | 2015 | 2016 | 2017 |
|---|---|---|---|
| 100 | HE1, HE2, HE4, HE5 | HE2, HE4, HE5, HE6 | HE2, HE4, HE5 |
| 100,01 – 100,20 | HE6 | HE1, HE3, HE6 | |
| 100,30 – 100,40 | HE1, HE3 | ||
| 100,50 – 100,60 | HE3 | ||
| 100,70 + |
Summary of Variable Range Performance Parameters (VRS) of the Model X
| [%] | 2015 | 2016 | 2017 |
|---|---|---|---|
| 100 | HE4 | HE2, HE3, HE4, HE5, HE6 | HE1, HE2, HE3, HE5, HE6 |
| 99 – 90 | HE1, HE2, HE3, HE5 | HE1 | HE4 |
| 89 – 85 | HE6 | ||
| 84 – 80 |
Results of the Model Y within constant yields from a range (CRS) and variable yields from a range (VRS)
| 2015 | HE1 | HE2 | HE3 | HE4 | HE5 | HE6 | |
|---|---|---|---|---|---|---|---|
| CRS | 1.0076 | 1.0000 | 1.0057 | 1.0000 | 1.0000 | 1.0037 | |
| VRS | 1.0000 | 1.0000 | 1.0056 | 1.0000 | 1.0000 | 1.0016 | |
| CRS | 1.0027 | 1.0000 | 1.0036 | 1.0000 | 1.0026 | 1.0000 | |
| VRS | 1.0031 | 1.0000 | 1.0036 | 1.0000 | 1.0000 | 1.0000 | |
| CRS | 1.0022 | 1.0000 | 1.0002 | 1.0000 | 1.0031 | 1.0000 | |
| VRS | 1.0020 | 1.0000 | 1.0007 | 1.0000 | 1.0000 | 1.0017 |
Basic statistical characteristics of inputs and outputs of the Model Y for the period 2015-2017
| 2015 | 2016 | 2017 | |
|---|---|---|---|
| min | |||
| xl | 269.32 | 294.23 | 304.28 |
| y1 | 86.11 | 71.53 | 99.43 |
| y2 | 174.33 | 182.13 | 193.12 |
| max | |||
| x1 | 423.23 | 442.06 | 441.23 |
| y1 | 212.36 | 192.29 | 217.39 |
| y2 | 271.13 | 276.39 | 279.99 |
| mean | |||
| xl | 321.15 | 335.33 | 344.85 |
| y1 | 124.56 | 118.87 | 141.11 |
| y2 | 213.19 | 223.77 | 231.34 |
| Standard deviation | |||
| xl | 50.14 | 52.02 | 47.26 |
| y1 | 47.04 | 44.09 | 39.65 |
| y2 | 34.66 | 34.59 | 30.47 |
Summary performance results of constant range yields (CRS)
| [%] | 2015 | 2016 | 2017 |
|---|---|---|---|
| 100 | HE2, HE4, HE5 | HE2, HE4, HE6 | HE2, HE4, HE6 |
| 100,01 – 100,20 | HE1, HE5 | HE1, HE3 | |
| 100,30 – 100,40 | HE6 | HE3 | HE5 |
| 100,50 – 100,60 | HE3 | ||
| 100,70 + | HE1 |