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Gini - KSCM 1998

R Software Module: co.wasp (opens new window with default values)

Title produced by software: Concentration

Date of computation: Tue, 11 Mar 2008 14:59:13 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Mar/11/t12052694800xd4c5o1xx376uw.htm/, Retrieved Tue, 11 Mar 2008 22:04:40 +0100

User-defined keywords:

Dataseries X:

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6,99 7,11 7,82 7,92 7,97 8,09 8,44 8,50 8,51 8,79 8,82 8,97 9,43 9,45 9,51 9,79 9,91 10,13 10,17 10,18 10,18 10,42 10,51 10,57 10,63 10,68 10,69 10,73 10,97 11,37 11,37 11,39 11,47 11,50 11,62 11,67 11,68 11,71 11,72 12,16 12,17 12,17 12,18 12,33 12,48 12,52 12,57 12,64 12,67 12,71 12,76 12,77 12,77 12,87 12,90 13,15 13,19 13,30 13,80 13,85 13,87 13,88 14,10 14,12 14,54 14,58 14,79 14,84 14,95 15,16 15,29 15,30 15,38 15,77 17,10 18,18 18,37

Text written by user:

Pro Lukase Linka, overeni vypoètu Giniho koeficientu N=77, ceske okresy

Output produced by software:

Concentration - Ungrouped Data
Entropy	4.322071
Maximum Entropy	4.343805
Normalized Entropy	0.994997
Exponential Index	0.013272
Herfindahl	0.013550
Normalized Herfindahl	0.000570
Gini Coefficient	0.117536
Concentration Coefficient	0.119082
Categories	77

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	6.990000	0.007635	0.037219	0.008611
2	7.110000	0.007766	0.037726	0.008729
3	7.820000	0.008541	0.040681	0.009412
4	7.920000	0.008650	0.041091	0.009507
5	7.970000	0.008705	0.041295	0.009555
6	8.090000	0.008836	0.041785	0.009668
7	8.440000	0.009218	0.043203	0.009996
8	8.500000	0.009284	0.043444	0.010052
9	8.510000	0.009295	0.043484	0.010061
10	8.790000	0.009601	0.044604	0.010320
11	8.820000	0.009633	0.044723	0.010348
12	8.970000	0.009797	0.045319	0.010485
13	9.430000	0.010300	0.047128	0.010904
14	9.450000	0.010322	0.047206	0.010922
15	9.510000	0.010387	0.047440	0.010976
16	9.790000	0.010693	0.048526	0.011228
17	9.910000	0.010824	0.048989	0.011335
18	10.130000	0.011064	0.049834	0.011530
19	10.170000	0.011108	0.049987	0.011565
20	10.180000	0.011119	0.050025	0.011574
21	10.180000	0.011119	0.050025	0.011574
22	10.420000	0.011381	0.050939	0.011786
23	10.510000	0.011479	0.051280	0.011865
24	10.570000	0.011545	0.051508	0.011917
25	10.630000	0.011610	0.051734	0.011970
26	10.680000	0.011665	0.051923	0.012013
27	10.690000	0.011676	0.051960	0.012022
28	10.730000	0.011720	0.052111	0.012057
29	10.970000	0.011982	0.053012	0.012265
30	11.370000	0.012419	0.054500	0.012610
31	11.370000	0.012419	0.054500	0.012610
32	11.390000	0.012440	0.054574	0.012627
33	11.470000	0.012528	0.054869	0.012695
34	11.500000	0.012561	0.054980	0.012721
35	11.620000	0.012692	0.055422	0.012823
36	11.670000	0.012746	0.055606	0.012866
37	11.680000	0.012757	0.055643	0.012874
38	11.710000	0.012790	0.055753	0.012900
39	11.720000	0.012801	0.055789	0.012908
40	12.160000	0.013281	0.057394	0.013279
41	12.170000	0.013292	0.057431	0.013288
42	12.170000	0.013292	0.057431	0.013288
43	12.180000	0.013303	0.057467	0.013296
44	12.330000	0.013467	0.058010	0.013422
45	12.480000	0.013631	0.058551	0.013547
46	12.520000	0.013675	0.058695	0.013580
47	12.570000	0.013729	0.058874	0.013622
48	12.640000	0.013806	0.059125	0.013680
49	12.670000	0.013839	0.059233	0.013705
50	12.710000	0.013882	0.059376	0.013738
51	12.760000	0.013937	0.059555	0.013779
52	12.770000	0.013948	0.059591	0.013788
53	12.770000	0.013948	0.059591	0.013788
54	12.870000	0.014057	0.059948	0.013870
55	12.900000	0.014090	0.060055	0.013895
56	13.150000	0.014363	0.060943	0.014100
57	13.190000	0.014406	0.061085	0.014133
58	13.300000	0.014527	0.061473	0.014223
59	13.800000	0.015073	0.063228	0.014629
60	13.850000	0.015127	0.063403	0.014669
61	13.870000	0.015149	0.063472	0.014686
62	13.880000	0.015160	0.063507	0.014694
63	14.100000	0.015400	0.064271	0.014871
64	14.120000	0.015422	0.064341	0.014887
65	14.540000	0.015881	0.065789	0.015222
66	14.580000	0.015925	0.065926	0.015253
67	14.790000	0.016154	0.066645	0.015420
68	14.840000	0.016209	0.066815	0.015459
69	14.950000	0.016329	0.067190	0.015546
70	15.160000	0.016558	0.067903	0.015711
71	15.290000	0.016700	0.068343	0.015812
72	15.300000	0.016711	0.068376	0.015820
73	15.380000	0.016798	0.068646	0.015883
74	15.770000	0.017224	0.069956	0.016186
75	17.100000	0.018677	0.074343	0.017201
76	18.180000	0.019857	0.077823	0.018006
77	18.370000	0.020064	0.078427	0.018146

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	6.990000	0.007635	0.037219	0.008611
2	14.100000	0.015400	0.074946	0.017340
3	21.920000	0.023942	0.115626	0.026753
4	29.840000	0.032592	0.156717	0.036260
5	37.810000	0.041297	0.198013	0.045814
6	45.900000	0.050133	0.239798	0.055482
7	54.340000	0.059352	0.283000	0.065478
8	62.840000	0.068636	0.326444	0.075530
9	71.350000	0.077930	0.369928	0.085591
10	80.140000	0.087531	0.414532	0.095911
11	88.960000	0.097165	0.459256	0.106258
12	97.930000	0.106962	0.504575	0.116744
13	107.360000	0.117262	0.551702	0.127648
14	116.810000	0.127583	0.598908	0.138570
15	126.320000	0.137970	0.646348	0.149546
16	136.110000	0.148663	0.694874	0.160773
17	146.020000	0.159487	0.743863	0.172108
18	156.150000	0.170551	0.793697	0.183638
19	166.320000	0.181659	0.843684	0.195204
20	176.500000	0.192778	0.893709	0.206778
21	186.680000	0.203897	0.943734	0.218352
22	197.100000	0.215278	0.994673	0.230138
23	207.610000	0.226757	1.045954	0.242003
24	218.180000	0.238302	1.097461	0.253920
25	228.810000	0.249913	1.149196	0.265890
26	239.490000	0.261578	1.201118	0.277903
27	250.180000	0.273254	1.253079	0.289926
28	260.910000	0.284973	1.305190	0.301983
29	271.880000	0.296955	1.358202	0.314248
30	283.250000	0.309373	1.412702	0.326858
31	294.620000	0.321792	1.467201	0.339467
32	306.010000	0.334233	1.521775	0.352094
33	317.480000	0.346760	1.576645	0.364789
34	328.980000	0.359321	1.631625	0.377510
35	340.600000	0.372013	1.687047	0.390333
36	352.270000	0.384759	1.742653	0.403199
37	363.950000	0.397516	1.798296	0.416073
38	375.660000	0.410306	1.854048	0.428972
39	387.380000	0.423107	1.909838	0.441880
40	399.540000	0.436389	1.967232	0.455160
41	411.710000	0.449681	2.024663	0.468447
42	423.880000	0.462973	2.082094	0.481735
43	436.060000	0.476277	2.139561	0.495031
44	448.390000	0.489744	2.197570	0.508453
45	460.870000	0.503375	2.256121	0.522000
46	473.390000	0.517050	2.314816	0.535580
47	485.960000	0.530779	2.373690	0.549202
48	498.600000	0.544585	2.432816	0.562882
49	511.270000	0.558423	2.492049	0.576587
50	523.980000	0.572305	2.551425	0.590325
51	536.740000	0.586242	2.610980	0.604104
52	549.510000	0.600190	2.670571	0.617891
53	562.280000	0.614138	2.730162	0.631679
54	575.150000	0.628195	2.790110	0.645549
55	588.050000	0.642285	2.850164	0.659444
56	601.200000	0.656647	2.911107	0.673545
57	614.390000	0.671054	2.972192	0.687678
58	627.690000	0.685580	3.033665	0.701901
59	641.490000	0.700653	3.096894	0.716530
60	655.340000	0.715781	3.160296	0.731199
61	669.210000	0.730930	3.223768	0.745885
62	683.090000	0.746090	3.287275	0.760579
63	697.190000	0.761490	3.351547	0.775449
64	711.310000	0.776912	3.415888	0.790336
65	725.850000	0.792793	3.481677	0.805557
66	740.430000	0.808718	3.547603	0.820811
67	755.220000	0.824872	3.614248	0.836231
68	770.060000	0.841081	3.681063	0.851690
69	785.010000	0.857410	3.748254	0.867235
70	800.170000	0.873968	3.816157	0.882946
71	815.460000	0.890668	3.884499	0.898759
72	830.760000	0.907379	3.952876	0.914579
73	846.140000	0.924178	4.021522	0.930462
74	861.910000	0.941402	4.091478	0.946647
75	879.010000	0.960079	4.165821	0.963848
76	897.190000	0.979936	4.243644	0.981854
77	915.560000	1.000000	4.322071	1.000000

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
1%	0.012987	0.007635
3%	0.025974	0.015400
4%	0.038961	0.023942
5%	0.051948	0.032592
6%	0.064935	0.041297
8%	0.077922	0.050133
9%	0.090909	0.059352
10%	0.103896	0.068636
12%	0.116883	0.077930
13%	0.129870	0.087531
14%	0.142857	0.097165
16%	0.155844	0.106962
17%	0.168831	0.117262
18%	0.181818	0.127583
19%	0.194805	0.137970
21%	0.207792	0.148663
22%	0.220779	0.159487
23%	0.233766	0.170551
25%	0.246753	0.181659
26%	0.259740	0.192778
27%	0.272727	0.203897
29%	0.285714	0.215278
30%	0.298701	0.226757
31%	0.311688	0.238302
32%	0.324675	0.249913
34%	0.337662	0.261578
35%	0.350649	0.273254
36%	0.363636	0.284973
38%	0.376623	0.296955
39%	0.389610	0.309373
40%	0.402597	0.321792
42%	0.415584	0.334233
43%	0.428571	0.346760
44%	0.441558	0.359321
45%	0.454545	0.372013
47%	0.467532	0.384759
48%	0.480519	0.397516
49%	0.493506	0.410306
51%	0.506494	0.423107
52%	0.519481	0.436389
53%	0.532468	0.449681
55%	0.545455	0.462973
56%	0.558442	0.476277
57%	0.571429	0.489744
58%	0.584416	0.503375
60%	0.597403	0.517050
61%	0.610390	0.530779
62%	0.623377	0.544585
64%	0.636364	0.558423
65%	0.649351	0.572305
66%	0.662338	0.586242
68%	0.675325	0.600190
69%	0.688312	0.614138
70%	0.701299	0.628195
71%	0.714286	0.642285
73%	0.727273	0.656647
74%	0.740260	0.671054
75%	0.753247	0.685580
77%	0.766234	0.700653
78%	0.779221	0.715781
79%	0.792208	0.730930
81%	0.805195	0.746090
82%	0.818182	0.761490
83%	0.831169	0.776912
84%	0.844156	0.792793
86%	0.857143	0.808718
87%	0.870130	0.824872
88%	0.883117	0.841081
90%	0.896104	0.857410
91%	0.909091	0.873968
92%	0.922078	0.890668
94%	0.935065	0.907379
95%	0.948052	0.924178
96%	0.961039	0.941402
97%	0.974026	0.960079
99%	0.987013	0.979936
100%	1.000000	1.000000

Charts produced by software:

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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