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Investigating Associations - Concentration - Q8

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

Title produced by software: Concentration

Date of computation: Mon, 22 Oct 2007 09:01:17 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Oct/22/pg1edxkhev65wmr1193068617.htm/, Retrieved Mon, 22 Oct 2007 17:56:57 +0200

User-defined keywords:

Investigating Associations, Concentration, Q8

Dataseries X:

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108,4 117 103,8 100,8 110,6 104 112,6 107,3 98,9 109,8 104,9 102,2 123,9 124,9 112,7 121,9 100,6 104,3 120,4 107,5 102,9 125,6 107,5 108,8 128,4 121,1 119,5 128,7 108,7 105,5 119,8 111,3 110,6 120,1 97,5 107,7 127,3 117,2 119,8 116,2 111 112,4 130,6 109,1 118,8 123,9 101,6 112,8 128 129,6 125,8 119,5 115,7 113,6 129,7 112 116,8 126,3 112,9 115,9

Text written by user:

Output produced by software:

Concentration - Ungrouped Data
Entropy	4.091328
Maximum Entropy	4.094345
Normalized Entropy	0.999263
Exponential Index	0.016717
Herfindahl	0.016767
Normalized Herfindahl	0.000102
Gini Coefficient	0.044652
Concentration Coefficient	0.045409
Categories	60

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	108.400000	0.015786	0.065491	0.016007
2	117.000000	0.017039	0.069386	0.016959
3	103.800000	0.015116	0.063368	0.015488
4	100.800000	0.014680	0.061967	0.015146
5	110.600000	0.016107	0.066497	0.016253
6	104.000000	0.015146	0.063461	0.015511
7	112.600000	0.016398	0.067405	0.016475
8	107.300000	0.015626	0.064986	0.015884
9	98.900000	0.014403	0.061073	0.014927
10	109.800000	0.015990	0.066132	0.016164
11	104.900000	0.015277	0.063878	0.015613
12	102.200000	0.014883	0.062622	0.015306
13	123.900000	0.018044	0.072444	0.017707
14	124.900000	0.018189	0.072883	0.017814
15	112.700000	0.016413	0.067451	0.016486
16	121.900000	0.017752	0.071564	0.017492
17	100.600000	0.014650	0.061873	0.015123
18	104.300000	0.015189	0.063600	0.015545
19	120.400000	0.017534	0.070900	0.017329
20	107.500000	0.015655	0.065078	0.015906
21	102.900000	0.014985	0.062949	0.015386
22	125.600000	0.018291	0.073189	0.017889
23	107.500000	0.015655	0.065078	0.015906
24	108.800000	0.015845	0.065675	0.016052
25	128.400000	0.018699	0.074408	0.018187
26	121.100000	0.017636	0.071210	0.017405
27	119.500000	0.017403	0.070501	0.017232
28	128.700000	0.018743	0.074539	0.018219
29	108.700000	0.015830	0.065629	0.016041
30	105.500000	0.015364	0.064156	0.015681
31	119.800000	0.017447	0.070634	0.017264
32	111.300000	0.016209	0.066815	0.016331
33	110.600000	0.016107	0.066497	0.016253
34	120.100000	0.017490	0.070767	0.017297
35	97.500000	0.014199	0.060411	0.014766
36	107.700000	0.015684	0.065170	0.015929
37	127.300000	0.018539	0.073931	0.018070
38	117.200000	0.017068	0.069476	0.016981
39	119.800000	0.017447	0.070634	0.017264
40	116.200000	0.016922	0.069028	0.016872
41	111.000000	0.016165	0.066679	0.016298
42	112.400000	0.016369	0.067315	0.016453
43	130.600000	0.019019	0.075360	0.018420
44	109.100000	0.015888	0.065812	0.016086
45	118.800000	0.017301	0.070190	0.017156
46	123.900000	0.018044	0.072444	0.017707
47	101.600000	0.014796	0.062342	0.015237
48	112.800000	0.016427	0.067496	0.016497
49	128.000000	0.018641	0.074235	0.018144
50	129.600000	0.018874	0.074928	0.018314
51	125.800000	0.018320	0.073277	0.017910
52	119.500000	0.017403	0.070501	0.017232
53	115.700000	0.016849	0.068804	0.016817
54	113.600000	0.016544	0.067858	0.016586
55	129.700000	0.018888	0.074972	0.018325
56	112.000000	0.016311	0.067133	0.016409
57	116.800000	0.017010	0.069297	0.016937
58	126.300000	0.018393	0.073495	0.017964
59	112.900000	0.016442	0.067541	0.016508
60	115.900000	0.016879	0.068893	0.016839

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	108.400000	0.015786	0.065491	0.016007
2	225.400000	0.032825	0.134878	0.032967
3	329.200000	0.047942	0.198245	0.048455
4	430.000000	0.062621	0.260212	0.063601
5	540.600000	0.078728	0.326709	0.079854
6	644.600000	0.093873	0.390170	0.095365
7	757.200000	0.110271	0.457575	0.111840
8	864.500000	0.125897	0.522561	0.127724
9	963.400000	0.140300	0.583634	0.142651
10	1073.200000	0.156291	0.649766	0.158815
11	1178.100000	0.171567	0.713644	0.174428
12	1280.300000	0.186451	0.776266	0.189735
13	1404.200000	0.204494	0.848711	0.207441
14	1529.100000	0.222683	0.921594	0.225255
15	1641.800000	0.239096	0.989044	0.241742
16	1763.700000	0.256848	1.060608	0.259233
17	1864.300000	0.271499	1.122481	0.274356
18	1968.600000	0.286688	1.186081	0.289901
19	2089.000000	0.304222	1.256981	0.307231
20	2196.500000	0.319877	1.322060	0.323137
21	2299.400000	0.334862	1.385008	0.338523
22	2425.000000	0.353154	1.458197	0.356412
23	2532.500000	0.368809	1.523276	0.372318
24	2641.300000	0.384653	1.588950	0.388370
25	2769.700000	0.403352	1.663359	0.406557
26	2890.800000	0.420988	1.734569	0.423962
27	3010.300000	0.438391	1.805070	0.441194
28	3139.000000	0.457134	1.879609	0.459413
29	3247.700000	0.472964	1.945238	0.475454
30	3353.200000	0.488328	2.009393	0.491135
31	3473.000000	0.505774	2.080028	0.508399
32	3584.300000	0.521983	2.146843	0.524730
33	3694.900000	0.538090	2.213340	0.540983
34	3815.000000	0.555580	2.284107	0.558280
35	3912.500000	0.569779	2.344518	0.573046
36	4020.200000	0.585463	2.409688	0.588975
37	4147.500000	0.604002	2.483619	0.607045
38	4264.700000	0.621070	2.553094	0.624026
39	4384.500000	0.638516	2.623729	0.641290
40	4500.700000	0.655439	2.692757	0.658162
41	4611.700000	0.671604	2.759436	0.674460
42	4724.100000	0.687972	2.826751	0.690913
43	4854.700000	0.706992	2.902111	0.709332
44	4963.800000	0.722880	2.967923	0.725418
45	5082.600000	0.740181	3.038112	0.742574
46	5206.500000	0.758224	3.110557	0.760280
47	5308.100000	0.773021	3.172898	0.775518
48	5420.900000	0.789448	3.240395	0.792015
49	5548.900000	0.808088	3.314629	0.810160
50	5678.500000	0.826962	3.389558	0.828474
51	5804.300000	0.845282	3.462834	0.846384
52	5923.800000	0.862685	3.533335	0.863616
53	6039.500000	0.879535	3.602139	0.880433
54	6153.100000	0.896078	3.669997	0.897018
55	6282.800000	0.914966	3.744968	0.915343
56	6394.800000	0.931277	3.812102	0.931752
57	6511.600000	0.948287	3.881398	0.948689
58	6637.900000	0.966680	3.954893	0.966653
59	6750.800000	0.983121	4.022435	0.983161
60	6866.700000	1.000000	4.091328	1.000000

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
2%	0.016667	0.014199
3%	0.033333	0.028602
5%	0.050000	0.043252
7%	0.066667	0.057932
8%	0.083333	0.072728
10%	0.100000	0.087611
12%	0.116667	0.102597
13%	0.133333	0.117713
15%	0.150000	0.132859
17%	0.166667	0.148048
18%	0.183333	0.163324
20%	0.200000	0.178688
22%	0.216667	0.194315
23%	0.233333	0.209970
25%	0.250000	0.225625
27%	0.266667	0.241310
28%	0.283333	0.257096
30%	0.300000	0.272926
32%	0.316667	0.288770
33%	0.333333	0.304659
35%	0.350000	0.320649
37%	0.366667	0.336756
38%	0.383333	0.352862
40%	0.400000	0.369027
42%	0.416667	0.385236
43%	0.433333	0.401547
45%	0.450000	0.417915
47%	0.466667	0.434313
48%	0.483333	0.450726
50%	0.500000	0.467153
52%	0.516667	0.483595
53%	0.533333	0.500138
55%	0.550000	0.516988
57%	0.566667	0.533866
58%	0.583333	0.550789
60%	0.600000	0.567798
62%	0.616667	0.584837
63%	0.633333	0.601905
65%	0.650000	0.619206
67%	0.666667	0.636609
68%	0.683333	0.654011
70%	0.700000	0.671458
72%	0.716667	0.688904
73%	0.733333	0.706395
75%	0.750000	0.723929
77%	0.766667	0.741564
78%	0.783333	0.759317
80%	0.800000	0.777360
82%	0.816667	0.795404
83%	0.833333	0.813593
85%	0.850000	0.831884
87%	0.866667	0.850205
88%	0.883333	0.868598
90%	0.900000	0.887136
92%	0.916667	0.905777
93%	0.933333	0.924476
95%	0.950000	0.943219
97%	0.966667	0.962092
98%	0.983333	0.980981
100%	1.000000	1.000000

Charts produced by software:

Parameters:

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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