consensus & evaluation giuliano resce, università di roma 3
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CONSENSUS & EVALUATION
Giuliano Resce, Università di Roma 3
2
AREA OF RESEARCH
• Public Sector’s Performances• Measures of Well-Being
STEP 1Adapt the method to the peculiarities of the Public Sector and Measures of Well-Being:• Multidimensional nature • Opinions
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
3
PRESENTATION
• Introduction to Data Envelopment Analysis• Restricting weights in DEA • Tools from MultiCriteria Decision Analysis• Case studies
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
4
PRODUCTIVITY BENCHMARKING
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
Charnes, Cooper and Rhodes (Management Science, 1981)
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THE CCR MODELIjIjj
RjRjj
xvxvxvyuyuyu
MaxjEff
......
2211
2211
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
1......
...
1......
1......
2211
2211
2222121
2222121
1212111
1212111
ININN
RNRNN
II
RR
II
RR
xvxvxvyuyuyu
xvxvxvyuyuyuxvxvxvyuyuyu
subject to
Charnes, Cooper, and Rhodes (European Journal of Operational Research,1978)
0,...,,,,...,, 2121 IR vvvuuu
Outputs:
Inputs:
Firms:
Weights:
Ryyy ,...,, 21
Ixxx ,...,, 21
Nkj ,...,,
IR vvvuuu ,...,,,,...,, 2121
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PUBLIC SECTOR COST EFFICIENCY
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
j
RjRjj
vcyuyuyu
MaxjEff
...2211
1...2211
k
RkRkk
vcyuyuyu Nk ....1
0,,...,, 21 vuuu R
Fare et al. (Journal of Public Economics, 1988)
subject to
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ASSURANCE REGION METHOD
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
IjIjj
RjRjj
xvxvxvyuyuyu
MaxjEff
......
2211
2211
subject to
1......
2211
2211
IkIkk
RkRkk
xvxvxvyuyuyu Nk ....1
0,...,,,,...,, 2121 IR vvvuuu
2,12
12,1 UuuL
Thompson et al. (Interface, 1986)
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VALUE JUDGMENTS IN DEA
Scores of sitesCriterion Site
S1 S2 S3 S4 S5 S6 S7C1 5 7 8 4 9 10 4C2 10 10 7 8 4 2 7C3 3 3 5 3 4 10 7Sum 18 20 20 15 17 22 18
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
Y. Takamura, K. Tone (Socio-Economic Planning Sciences , 2003)
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VALUE JUDGMENTS IN DEA
Weights on criteria of five evaluatorsEvaluators Criterion
C1 C2 C3 SumEvaluator 1 2 3 5 10Evaluator 2 4 4 2 10Evaluator 3 5 3 2 10Evaluator 4 3 4 3 10Evaluator 5 5 4 1 10Average 3,8 3,6 2,6
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
Y. Takamura, K. Tone (Socio-Economic Planning Sciences , 2003)
10
VALUE JUDGMENTS IN DEA
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
Y. Takamura, K. Tone (Socio-Economic Planning Sciences , 2003)
Weights ratios of five evaluators
u1/u2 u2/u3 u1/u3
Evaluator 1 0,667 0,6 0,4
Evaluator 2 1 2 2
Evaluator 3 1,667 1,5 2,5
Evaluator 4 0,75 1,3337 1
Evaluator 5 1,25 4 5
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VALUE JUDGMENTS IN DEA
1332211 kkk SuSuSu
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
03,2,1 uuu
jjj SuSuSu 332211
Nk ....1
subject to
40,6
50,4
1,66670,6667
3
2
3
1
2
1
uuuuuu
Y. Takamura, K. Tone (Socio-Economic Planning Sciences , 2003)
Max
12
MODIFICATIONS
• Different bounds for different DMU• Voting sistems
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
13
CASE STUDY 1
European Health for All database (HFA-DB)
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
World Health Organization, 2015
HFA-DB provides a selection of core health statistics covering basic demographics, health status, health determinants and risk factors, and health-care resources, utilization and expenditure in the 53 countries in the WHO European Region.
14
CASE STUDY 2
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
OECD, 2015
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WHAT MATTERS MOST TOPEOPLE AROUND THE WORLD?
More than 80 000 users of the Better Life Index around the world have shared their views on what makes for a better life. Explore the interactive map and find out what well being ‐topics are rated highest and where. Of course this is a small share of the world’s population – so why not share your vision of a better life and helpus reach 100 000 (or even more) by the end of 2015.16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
OECD, 2015
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REFERENCESCharnes A, Cooper WW, Rhodes E. (1978) Measuring the efficiency of decision
making units, European Journal of Operational Research;2:429–44.Fare R, Grosskopf S. and Lovell C.A.K. (1988) An indirect approach to the
evaluation of producer performance Journal of Public Economics 37, 71-89.
OECD (2015) How’s life?, Paris.Thompson RG, Singleton Jr. FD, Thrall RM, Smith BA. (1986) Comparative site
evaluations for locating a high-energy physics lab in Texas, Interface;16:35–49.
Takamura Y, and Tone K. (2003) A comparative site evaluation study for relocating Japanese government agencies out of Tokyo, Socio-Economic Planning Sciences, Vol. 37, pp. 85–102
World Health Organization (2015) European Health for All database
16 Novembre 2015, Dipartimento di Economia, Università di Roma 3
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