How many of the 20 universities are efficient

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Reference no: EM131163734

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
ID	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
ID	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

Reference no: EM131163734

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