Evaluating Universities A study of Finnish universities is aimed at determining an effi- ciency ranking. Two inputs are used: the university's annual budget and the selectivity rating (for which higher is better). Four outputs are used: the number of graduates (receiving their primary degree), the number of advanced graduates (receiving a post-graduate degree), a progress index (measured against a standard rate of progress toward the corresponding degree), and a completion index (measuring the propensity of students to finish their degree requirements). The data are provided in Table 5.5.
(a) Perform a DEA evaluation for the universities, listing the efficiency for each.
(b) How many of the 20 universities are efficient?
Table 5.5. Data on 20 Finnish Univenitics
|
ID
|
Input
|
outputs
|
|
Costs
|
Inheritances
|
Rebates
|
Warrants
|
Collections
|
|
1
|
9.13
|
7.525
|
34.114
|
21.958
|
3.840
|
|
2
|
13.60
|
8.301
|
23.270
|
35.966
|
8.632
|
|
3
|
5.76
|
10.909
|
13.392
|
11527
|
4.931
|
|
4
|
11.24
|
16.621
|
36117
|
27352
|
9322
|
|
5
|
15.57
|
22209
|
95.776
|
23.611
|
12266
|
|
6
|
5.65
|
1.777
|
0.156
|
1.314
|
39.011
|
|
7
|
21.60
|
15.107
|
70.958
|
54216
|
10.809
|
|
8
|
857
|
7.919
|
48.688
|
14.032
|
5.923
|
|
9
|
6.01
|
7.066
|
36304
|
5.445
|
2.936
|
|
10
|
8.02
|
8.858
|
43.610
|
13.774
|
4.274
|
|
11
|
9.93
|
8.999
|
36.852
|
23.661
|
8.151
|
|
12
|
7.90
|
8.278
|
45.222
|
6.191
|
5327
|
|
13
|
5.13
|
6.763
|
18.704
|
10.630
|
3340
|
|
14
|
6.42
|
8.984
|
13.600
|
12319
|
3.752
|
|
15
|
5.94
|
7.686
|
25.906
|
8.242
|
2.483
|
|
16
|
8.68
|
7.227
|
16.965
|
17381
|
6174
|
|
17
|
4.86
|
3.356
|
23.672
|
4.298
|
2.482
|
|
18
|
10.33
|
8.558
|
30340
|
17.770
|
8405
|
|
19
|
21.97
|
12.234
|
92.020
|
29530
|
14.763
|
|
20
|
9.70
|
7.674
|
41.162
|
13272
|
4303
|
|
21
|
634
|
8.168
|
16.613
|
8.264
|
5.047
|
|
22
|
7.70
|
7.884
|
15.749
|
14.50e
|
3.034
|
|
23
|
5.99
|
5.666
|
27346
|
3243
|
3.410
|
|
24
|
5.20
|
6.923
|
12.613
|
4.298
|
3.040
|
|
25
|
636
|
7.352
|
23310
|
5.744
|
4207
|
|
26
|
8.87
|
6.456
|
38.100
|
9.645
|
3.093
|
|
27
|
10.71
|
13.642
|
23262
|
14.631
|
4.631
|
|
28
|
6.49
|
7.675
|
17.972
|
8.269
|
2.756
|
|
29
|
15.32
|
15.341
|
55.415
|
16361
|
12330
|
|
30
|
7.00
|
8.369
|
14.918
|
9.883
|
4328
|
|
31
|
10.50
|
9.608
|
37.910
|
13.493
|
5.035
|
|
32
|
10.88
|
10.648
|
36.962
|
14248
|
4.844
|
|
33
|
852
|
8.967
|
24.672
|
11.841
|
3.753
|
|
34
|
7.61
|
6.111
|
31.734
|
7.657
|
2.272
|
|
35
|
10.91
|
9.778
|
42.725
|
12.169
|
4.657
|
|
36
|
9.72
|
7.713
|
5.897
|
14.600
|
9.251
|
|
37
|
12.63
|
11.082
|
41386
|
16.420
|
5.647
|
|
38
|
1131
|
9.066
|
28.491
|
16.284
|
5.962
|
|
39
|
6.22
|
6.627
|
14.667
|
7.703
|
3.083
|
Continued
|
ID
|
Input
|
Outputs
|
|
Costs
|
Inhaitances
|
Rebates
|
Warrants
|
Collections
|
|
40
|
5.29
|
3.958
|
20416
|
1.961
|
1235
|
|
41
|
838
|
6.538
|
31.730
|
8596
|
4.831
|
|
42
|
13.50
|
4.769
|
26.469
|
20.877
|
4.170
|
|
43
|
12.60
|
6.680
|
30.280
|
9.085
|
19.449
|
|
44
|
8.10
|
8.103
|
9.708
|
8334
|
7302
|
|
45
|
9.67
|
6.004
|
19.460
|
10.708
|
8.033
|
|
46
|
12.37
|
11.B3
|
nsoo
|
run
|
6.741
|
|
47
|
9.50
|
8.674
|
23542
|
8.992
|
3.664
|
|
48
|
11.47
|
10300
|
15376
|
13.740
|
6.458
|
|
49
|
11.78
|
12.221
|
14325
|
10.100
|
5.021
|
|
50
|
12.57
|
10.432
|
18306
|
16387
|
3.924
|
|
SI
|
50.26
|
32.331
|
150.000
|
45.099
|
19379
|
|
52
|
12.70
|
9500
|
22391
|
14.900
|
5203
|
|
53
|
13.30
|
7.530
|
21.990
|
14.655
|
8324
|
|
54
|
5.60
|
3.727
|
12.208
|
5388
|
2237
|
|
55
|
11.75
|
5.198
|
13.280
|
13.618
|
7.104
|
|
56
|
8.47
|
6.149
|
19.453
|
6305
|
3300
|
|
57
|
8.36
|
5.959
|
17.110
|
4.655
|
3.077
|
|
58
|
11.07
|
7.247
|
163341
|
8.686
|
6.620
|
|
59
|
10.38
|
7.761
|
16.440
|
6.014
|
3.313
|
|
60
|
11.83
|
5.347
|
12410
|
12L,38
|
4.567
|
|
61
|
12.71
|
6.320
|
13.632
|
8330
|
5.161
|
|
62
|
11.19
|
6.578
|
10.900
|
3323
|
3.456
|