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*Unverified author*

R Software Module

co.wasp

Title produced by software

Concentration

Date of computation

Mon, 31 Mar 2008 12:56:59 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Mar/31/t1206990003m0jcdfzpehaxzdg.htm/, Retrieved Sat, 18 May 2024 08:52:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10083, Retrieved Sat, 18 May 2024 08:52:56 +0000

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User-defined keywords

Estimated Impact

321

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Concentration] [satu] [2008-03-31 18:56:59] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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12,679.00
10,995.00
9,784.00
30,356.00
8,531.00
12,021.00
6,460.00
5,598.00
12,830.00
32,149.00
9,941.00
7,331.00
7,551.00
11,114.00
9,372.00
10,033.00
6,151.00
3,427.00
8,327.00
10,976.00
8,859.00
61,407.00
8,369.00
7,447.00
6,930.00
6,613.00
3,673.00
4,562.00
3,652.00
2,919.00
12,287.00
23,269.00

Concentration - Ungrouped Data
Entropy	3.170398
Maximum Entropy	3.465736
Normalized Entropy	0.914783
Exponential Index	0.041987
Herfindahl	0.059280
Normalized Herfindahl	0.028934
Gini Coefficient	0.384209
Concentration Coefficient	0.396603
Categories	32

\begin{tabular}{lllllllll}
\hline

Concentration - Ungrouped Data \tabularnewline

Entropy

3.170398 \tabularnewline Maximum Entropy

3.465736 \tabularnewline Normalized Entropy

0.914783 \tabularnewline Exponential Index

0.041987 \tabularnewline Herfindahl

0.059280 \tabularnewline Normalized Herfindahl

0.028934 \tabularnewline Gini Coefficient

0.384209 \tabularnewline Concentration Coefficient

0.396603 \tabularnewline Categories

32 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10083&T=0

[TABLE]

[ROW][C]Concentration - Ungrouped Data[/C][/ROW]

[ROW][C]Entropy[/C]

3.170398[/C][/ROW] [ROW][C]Maximum Entropy[/C]

3.465736[/C][/ROW] [ROW][C]Normalized Entropy[/C]

0.914783[/C][/ROW] [ROW][C]Exponential Index[/C]

0.041987[/C][/ROW] [ROW][C]Herfindahl[/C]

0.059280[/C][/ROW] [ROW][C]Normalized Herfindahl[/C]

0.028934[/C][/ROW] [ROW][C]Gini Coefficient[/C]

0.384209[/C][/ROW] [ROW][C]Concentration Coefficient[/C]

0.396603[/C][/ROW] [ROW][C]Categories[/C]

32[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10083&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10083&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Concentration - Ungrouped Data
Entropy	3.170398
Maximum Entropy	3.465736
Normalized Entropy	0.914783
Exponential Index	0.041987
Herfindahl	0.059280
Normalized Herfindahl	0.028934
Gini Coefficient	0.384209
Concentration Coefficient	0.396603
Categories	32

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	12.679000	0.033755	0.114384	0.036079
2	10.995000	0.029272	0.103363	0.032603
3	9.784000	0.026048	0.095018	0.029971
4	30.356000	0.080817	0.203301	0.064125
5	8.531000	0.022712	0.085962	0.027114
6	12.021000	0.032004	0.110154	0.034744
7	6.460000	0.017199	0.069877	0.022040
8	5.598000	0.014904	0.062687	0.019773
9	12.830000	0.034157	0.115342	0.036381
10	32.149000	0.085591	0.210397	0.066363
11	9.941000	0.026466	0.096122	0.030319
12	7.331000	0.019517	0.076829	0.024233
13	7.551000	0.020103	0.078541	0.024773
14	11.114000	0.029589	0.104164	0.032855
15	9.372000	0.024951	0.092091	0.029047
16	10.033000	0.026711	0.096765	0.030522
17	6.151000	0.016376	0.067337	0.021239
18	3.427000	0.009124	0.042853	0.013517
19	8.327000	0.022169	0.084443	0.026635
20	10.976000	0.029222	0.103235	0.032562
21	8.859000	0.023585	0.088378	0.027876
22	61.407000	0.163485	0.296077	0.093388
23	8.369000	0.022281	0.084757	0.026734
24	7.447000	0.019826	0.077734	0.024519
25	6.930000	0.018450	0.073665	0.023235
26	6.613000	0.017606	0.071119	0.022432
27	3.673000	0.009779	0.045251	0.014273
28	4.562000	0.012145	0.053571	0.016897
29	3.652000	0.009723	0.045048	0.014209
30	2.919000	0.007771	0.037748	0.011906
31	12.287000	0.032712	0.111875	0.035287
32	23.269000	0.061949	0.172308	0.054349

\begin{tabular}{lllllllll}
\hline

Concentration 2 - Ungrouped Data \tabularnewline

Category

Elements (Absolute)

Elements (Relative)

Entropy (Absolute)

Entropy (Relative) \tabularnewline

12.679000

0.033755

0.114384

0.036079 \tabularnewline

10.995000

0.029272

0.103363

0.032603 \tabularnewline

9.784000

0.026048

0.095018

0.029971 \tabularnewline

30.356000

0.080817

0.203301

0.064125 \tabularnewline

8.531000

0.022712

0.085962

0.027114 \tabularnewline

12.021000

0.032004

0.110154

0.034744 \tabularnewline

6.460000

0.017199

0.069877

0.022040 \tabularnewline

5.598000

0.014904

0.062687

0.019773 \tabularnewline

12.830000

0.034157

0.115342

0.036381 \tabularnewline

32.149000

0.085591

0.210397

0.066363 \tabularnewline

9.941000

0.026466

0.096122

0.030319 \tabularnewline

7.331000

0.019517

0.076829

0.024233 \tabularnewline

7.551000

0.020103

0.078541

0.024773 \tabularnewline

11.114000

0.029589

0.104164

0.032855 \tabularnewline

9.372000

0.024951

0.092091

0.029047 \tabularnewline

10.033000

0.026711

0.096765

0.030522 \tabularnewline

6.151000

0.016376

0.067337

0.021239 \tabularnewline

3.427000

0.009124

0.042853

0.013517 \tabularnewline

8.327000

0.022169

0.084443

0.026635 \tabularnewline

10.976000

0.029222

0.103235

0.032562 \tabularnewline

8.859000

0.023585

0.088378

0.027876 \tabularnewline

61.407000

0.163485

0.296077

0.093388 \tabularnewline

8.369000

0.022281

0.084757

0.026734 \tabularnewline

7.447000

0.019826

0.077734

0.024519 \tabularnewline

6.930000

0.018450

0.073665

0.023235 \tabularnewline

6.613000

0.017606

0.071119

0.022432 \tabularnewline

3.673000

0.009779

0.045251

0.014273 \tabularnewline

4.562000

0.012145

0.053571

0.016897 \tabularnewline

3.652000

0.009723

0.045048

0.014209 \tabularnewline

2.919000

0.007771

0.037748

0.011906 \tabularnewline

12.287000

0.032712

0.111875

0.035287 \tabularnewline

23.269000

0.061949

0.172308

0.054349 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10083&T=1

[TABLE]

[ROW][C]Concentration 2 - Ungrouped Data[/C][/ROW]

[ROW]

Category[/C]

Elements (Absolute)[/C]

Elements (Relative)[/C]

Entropy (Absolute)[/C]

Entropy (Relative)[/C][/ROW] [ROW]

1[/C]

12.679000[/C]

0.033755[/C]

0.114384[/C]

0.036079[/C][/ROW] [ROW]

2[/C]

10.995000[/C]

0.029272[/C]

0.103363[/C]

0.032603[/C][/ROW] [ROW]

3[/C]

9.784000[/C]

0.026048[/C]

0.095018[/C]

0.029971[/C][/ROW] [ROW]

4[/C]

30.356000[/C]

0.080817[/C]

0.203301[/C]

0.064125[/C][/ROW] [ROW]

5[/C]

8.531000[/C]

0.022712[/C]

0.085962[/C]

0.027114[/C][/ROW] [ROW]

6[/C]

12.021000[/C]

0.032004[/C]

0.110154[/C]

0.034744[/C][/ROW] [ROW]

7[/C]

6.460000[/C]

0.017199[/C]

0.069877[/C]

0.022040[/C][/ROW] [ROW]

8[/C]

5.598000[/C]

0.014904[/C]

0.062687[/C]

0.019773[/C][/ROW] [ROW]

9[/C]

12.830000[/C]

0.034157[/C]

0.115342[/C]

0.036381[/C][/ROW] [ROW]

10[/C]

32.149000[/C]

0.085591[/C]

0.210397[/C]

0.066363[/C][/ROW] [ROW]

11[/C]

9.941000[/C]

0.026466[/C]

0.096122[/C]

0.030319[/C][/ROW] [ROW]

12[/C]

7.331000[/C]

0.019517[/C]

0.076829[/C]

0.024233[/C][/ROW] [ROW]

13[/C]

7.551000[/C]

0.020103[/C]

0.078541[/C]

0.024773[/C][/ROW] [ROW]

14[/C]

11.114000[/C]

0.029589[/C]

0.104164[/C]

0.032855[/C][/ROW] [ROW]

15[/C]

9.372000[/C]

0.024951[/C]

0.092091[/C]

0.029047[/C][/ROW] [ROW]

16[/C]

10.033000[/C]

0.026711[/C]

0.096765[/C]

0.030522[/C][/ROW] [ROW]

17[/C]

6.151000[/C]

0.016376[/C]

0.067337[/C]

0.021239[/C][/ROW] [ROW]

18[/C]

3.427000[/C]

0.009124[/C]

0.042853[/C]

0.013517[/C][/ROW] [ROW]

19[/C]

8.327000[/C]

0.022169[/C]

0.084443[/C]

0.026635[/C][/ROW] [ROW]

20[/C]

10.976000[/C]

0.029222[/C]

0.103235[/C]

0.032562[/C][/ROW] [ROW]

21[/C]

8.859000[/C]

0.023585[/C]

0.088378[/C]

0.027876[/C][/ROW] [ROW]

22[/C]

61.407000[/C]

0.163485[/C]

0.296077[/C]

0.093388[/C][/ROW] [ROW]

23[/C]

8.369000[/C]

0.022281[/C]

0.084757[/C]

0.026734[/C][/ROW] [ROW]

24[/C]

7.447000[/C]

0.019826[/C]

0.077734[/C]

0.024519[/C][/ROW] [ROW]

25[/C]

6.930000[/C]

0.018450[/C]

0.073665[/C]

0.023235[/C][/ROW] [ROW]

26[/C]

6.613000[/C]

0.017606[/C]

0.071119[/C]

0.022432[/C][/ROW] [ROW]

27[/C]

3.673000[/C]

0.009779[/C]

0.045251[/C]

0.014273[/C][/ROW] [ROW]

28[/C]

4.562000[/C]

0.012145[/C]

0.053571[/C]

0.016897[/C][/ROW] [ROW]

29[/C]

3.652000[/C]

0.009723[/C]

0.045048[/C]

0.014209[/C][/ROW] [ROW]

30[/C]

2.919000[/C]

0.007771[/C]

0.037748[/C]

0.011906[/C][/ROW] [ROW]

31[/C]

12.287000[/C]

0.032712[/C]

0.111875[/C]

0.035287[/C][/ROW] [ROW]

32[/C]

23.269000[/C]

0.061949[/C]

0.172308[/C]

0.054349[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10083&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10083&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	12.679000	0.033755	0.114384	0.036079
2	10.995000	0.029272	0.103363	0.032603
3	9.784000	0.026048	0.095018	0.029971
4	30.356000	0.080817	0.203301	0.064125
5	8.531000	0.022712	0.085962	0.027114
6	12.021000	0.032004	0.110154	0.034744
7	6.460000	0.017199	0.069877	0.022040
8	5.598000	0.014904	0.062687	0.019773
9	12.830000	0.034157	0.115342	0.036381
10	32.149000	0.085591	0.210397	0.066363
11	9.941000	0.026466	0.096122	0.030319
12	7.331000	0.019517	0.076829	0.024233
13	7.551000	0.020103	0.078541	0.024773
14	11.114000	0.029589	0.104164	0.032855
15	9.372000	0.024951	0.092091	0.029047
16	10.033000	0.026711	0.096765	0.030522
17	6.151000	0.016376	0.067337	0.021239
18	3.427000	0.009124	0.042853	0.013517
19	8.327000	0.022169	0.084443	0.026635
20	10.976000	0.029222	0.103235	0.032562
21	8.859000	0.023585	0.088378	0.027876
22	61.407000	0.163485	0.296077	0.093388
23	8.369000	0.022281	0.084757	0.026734
24	7.447000	0.019826	0.077734	0.024519
25	6.930000	0.018450	0.073665	0.023235
26	6.613000	0.017606	0.071119	0.022432
27	3.673000	0.009779	0.045251	0.014273
28	4.562000	0.012145	0.053571	0.016897
29	3.652000	0.009723	0.045048	0.014209
30	2.919000	0.007771	0.037748	0.011906
31	12.287000	0.032712	0.111875	0.035287
32	23.269000	0.061949	0.172308	0.054349

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	12.679000	0.033755	0.114384	0.036079
2	23.674000	0.063028	0.217748	0.068682
3	33.458000	0.089076	0.312766	0.098652
4	63.814000	0.169893	0.516067	0.162777
5	72.345000	0.192605	0.602030	0.189891
6	84.366000	0.224609	0.712183	0.224635
7	90.826000	0.241807	0.782060	0.246676
8	96.424000	0.256711	0.844747	0.266448
9	109.254000	0.290869	0.960089	0.302829
10	141.403000	0.376459	1.170486	0.369192
11	151.344000	0.402925	1.266608	0.399511
12	158.675000	0.422443	1.343437	0.423744
13	166.226000	0.442546	1.421978	0.448517
14	177.340000	0.472135	1.526141	0.481372
15	186.712000	0.497086	1.618232	0.510419
16	196.745000	0.523797	1.714998	0.540941
17	202.896000	0.540173	1.782334	0.562180
18	206.323000	0.549297	1.825188	0.575697
19	214.650000	0.571466	1.909631	0.602332
20	225.626000	0.600687	2.012866	0.634894
21	234.485000	0.624273	2.101244	0.662770
22	295.892000	0.787758	2.397321	0.756158
23	304.261000	0.810039	2.482078	0.782892
24	311.708000	0.829865	2.559811	0.807410
25	318.638000	0.848315	2.633476	0.830645
26	325.251000	0.865921	2.704595	0.853078
27	328.924000	0.875699	2.749847	0.867351
28	333.486000	0.887845	2.803418	0.884248
29	337.138000	0.897567	2.848466	0.898457
30	340.057000	0.905339	2.886214	0.910363
31	352.344000	0.938051	2.998089	0.945651
32	375.613000	1.000000	3.170398	1.000000

\begin{tabular}{lllllllll}
\hline

Concentration 3 - Ungrouped Data \tabularnewline

Category

Elements (Absolute Cumulated)

Elements (Relative Cumulated)

Entropy (Absolute Cumulated)

Entropy (Relative Cumulated) \tabularnewline

12.679000

0.033755

0.114384

0.036079 \tabularnewline

23.674000

0.063028

0.217748

0.068682 \tabularnewline

33.458000

0.089076

0.312766

0.098652 \tabularnewline

63.814000

0.169893

0.516067

0.162777 \tabularnewline

72.345000

0.192605

0.602030

0.189891 \tabularnewline

84.366000

0.224609

0.712183

0.224635 \tabularnewline

90.826000

0.241807

0.782060

0.246676 \tabularnewline

96.424000

0.256711

0.844747

0.266448 \tabularnewline

109.254000

0.290869

0.960089

0.302829 \tabularnewline

141.403000

0.376459

1.170486

0.369192 \tabularnewline

151.344000

0.402925

1.266608

0.399511 \tabularnewline

158.675000

0.422443

1.343437

0.423744 \tabularnewline

166.226000

0.442546

1.421978

0.448517 \tabularnewline

177.340000

0.472135

1.526141

0.481372 \tabularnewline

186.712000

0.497086

1.618232

0.510419 \tabularnewline

196.745000

0.523797

1.714998

0.540941 \tabularnewline

202.896000

0.540173

1.782334

0.562180 \tabularnewline

206.323000

0.549297

1.825188

0.575697 \tabularnewline

214.650000

0.571466

1.909631

0.602332 \tabularnewline

225.626000

0.600687

2.012866

0.634894 \tabularnewline

234.485000

0.624273

2.101244

0.662770 \tabularnewline

295.892000

0.787758

2.397321

0.756158 \tabularnewline

304.261000

0.810039

2.482078

0.782892 \tabularnewline

311.708000

0.829865

2.559811

0.807410 \tabularnewline

318.638000

0.848315

2.633476

0.830645 \tabularnewline

325.251000

0.865921

2.704595

0.853078 \tabularnewline

328.924000

0.875699

2.749847

0.867351 \tabularnewline

333.486000

0.887845

2.803418

0.884248 \tabularnewline

337.138000

0.897567

2.848466

0.898457 \tabularnewline

340.057000

0.905339

2.886214

0.910363 \tabularnewline

352.344000

0.938051

2.998089

0.945651 \tabularnewline

375.613000

1.000000

3.170398

1.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10083&T=2

[TABLE]

[ROW][C]Concentration 3 - Ungrouped Data[/C][/ROW]

[ROW]

Category[/C]

Elements (Absolute Cumulated)[/C]

Elements (Relative Cumulated)[/C]

Entropy (Absolute Cumulated)[/C]

Entropy (Relative Cumulated)[/C][/ROW] [ROW]

1[/C]

12.679000[/C]

0.033755[/C]

0.114384[/C]

0.036079[/C][/ROW] [ROW]

2[/C]

23.674000[/C]

0.063028[/C]

0.217748[/C]

0.068682[/C][/ROW] [ROW]

3[/C]

33.458000[/C]

0.089076[/C]

0.312766[/C]

0.098652[/C][/ROW] [ROW]

4[/C]

63.814000[/C]

0.169893[/C]

0.516067[/C]

0.162777[/C][/ROW] [ROW]

5[/C]

72.345000[/C]

0.192605[/C]

0.602030[/C]

0.189891[/C][/ROW] [ROW]

6[/C]

84.366000[/C]

0.224609[/C]

0.712183[/C]

0.224635[/C][/ROW] [ROW]

7[/C]

90.826000[/C]

0.241807[/C]

0.782060[/C]

0.246676[/C][/ROW] [ROW]

8[/C]

96.424000[/C]

0.256711[/C]

0.844747[/C]

0.266448[/C][/ROW] [ROW]

9[/C]

109.254000[/C]

0.290869[/C]

0.960089[/C]

0.302829[/C][/ROW] [ROW]

10[/C]

141.403000[/C]

0.376459[/C]

1.170486[/C]

0.369192[/C][/ROW] [ROW]

11[/C]

151.344000[/C]

0.402925[/C]

1.266608[/C]

0.399511[/C][/ROW] [ROW]

12[/C]

158.675000[/C]

0.422443[/C]

1.343437[/C]

0.423744[/C][/ROW] [ROW]

13[/C]

166.226000[/C]

0.442546[/C]

1.421978[/C]

0.448517[/C][/ROW] [ROW]

14[/C]

177.340000[/C]

0.472135[/C]

1.526141[/C]

0.481372[/C][/ROW] [ROW]

15[/C]

186.712000[/C]

0.497086[/C]

1.618232[/C]

0.510419[/C][/ROW] [ROW]

16[/C]

196.745000[/C]

0.523797[/C]

1.714998[/C]

0.540941[/C][/ROW] [ROW]

17[/C]

202.896000[/C]

0.540173[/C]

1.782334[/C]

0.562180[/C][/ROW] [ROW]

18[/C]

206.323000[/C]

0.549297[/C]

1.825188[/C]

0.575697[/C][/ROW] [ROW]

19[/C]

214.650000[/C]

0.571466[/C]

1.909631[/C]

0.602332[/C][/ROW] [ROW]

20[/C]

225.626000[/C]

0.600687[/C]

2.012866[/C]

0.634894[/C][/ROW] [ROW]

21[/C]

234.485000[/C]

0.624273[/C]

2.101244[/C]

0.662770[/C][/ROW] [ROW]

22[/C]

295.892000[/C]

0.787758[/C]

2.397321[/C]

0.756158[/C][/ROW] [ROW]

23[/C]

304.261000[/C]

0.810039[/C]

2.482078[/C]

0.782892[/C][/ROW] [ROW]

24[/C]

311.708000[/C]

0.829865[/C]

2.559811[/C]

0.807410[/C][/ROW] [ROW]

25[/C]

318.638000[/C]

0.848315[/C]

2.633476[/C]

0.830645[/C][/ROW] [ROW]

26[/C]

325.251000[/C]

0.865921[/C]

2.704595[/C]

0.853078[/C][/ROW] [ROW]

27[/C]

328.924000[/C]

0.875699[/C]

2.749847[/C]

0.867351[/C][/ROW] [ROW]

28[/C]

333.486000[/C]

0.887845[/C]

2.803418[/C]

0.884248[/C][/ROW] [ROW]

29[/C]

337.138000[/C]

0.897567[/C]

2.848466[/C]

0.898457[/C][/ROW] [ROW]

30[/C]

340.057000[/C]

0.905339[/C]

2.886214[/C]

0.910363[/C][/ROW] [ROW]

31[/C]

352.344000[/C]

0.938051[/C]

2.998089[/C]

0.945651[/C][/ROW] [ROW]

32[/C]

375.613000[/C]

1.000000[/C]

3.170398[/C]

1.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10083&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10083&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	12.679000	0.033755	0.114384	0.036079
2	23.674000	0.063028	0.217748	0.068682
3	33.458000	0.089076	0.312766	0.098652
4	63.814000	0.169893	0.516067	0.162777
5	72.345000	0.192605	0.602030	0.189891
6	84.366000	0.224609	0.712183	0.224635
7	90.826000	0.241807	0.782060	0.246676
8	96.424000	0.256711	0.844747	0.266448
9	109.254000	0.290869	0.960089	0.302829
10	141.403000	0.376459	1.170486	0.369192
11	151.344000	0.402925	1.266608	0.399511
12	158.675000	0.422443	1.343437	0.423744
13	166.226000	0.442546	1.421978	0.448517
14	177.340000	0.472135	1.526141	0.481372
15	186.712000	0.497086	1.618232	0.510419
16	196.745000	0.523797	1.714998	0.540941
17	202.896000	0.540173	1.782334	0.562180
18	206.323000	0.549297	1.825188	0.575697
19	214.650000	0.571466	1.909631	0.602332
20	225.626000	0.600687	2.012866	0.634894
21	234.485000	0.624273	2.101244	0.662770
22	295.892000	0.787758	2.397321	0.756158
23	304.261000	0.810039	2.482078	0.782892
24	311.708000	0.829865	2.559811	0.807410
25	318.638000	0.848315	2.633476	0.830645
26	325.251000	0.865921	2.704595	0.853078
27	328.924000	0.875699	2.749847	0.867351
28	333.486000	0.887845	2.803418	0.884248
29	337.138000	0.897567	2.848466	0.898457
30	340.057000	0.905339	2.886214	0.910363
31	352.344000	0.938051	2.998089	0.945651
32	375.613000	1.000000	3.170398	1.000000

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
3%	0.031250	0.007771
6%	0.062500	0.016895
9%	0.093750	0.026618
13%	0.125000	0.036397
16%	0.156250	0.048542
19%	0.187500	0.063446
22%	0.218750	0.079822
25%	0.250000	0.097020
28%	0.281250	0.114626
31%	0.312500	0.133076
34%	0.343750	0.152593
38%	0.375000	0.172419
41%	0.406250	0.192523
44%	0.437500	0.214692
47%	0.468750	0.236973
50%	0.500000	0.259685
53%	0.531250	0.283270
56%	0.562500	0.308221
59%	0.593750	0.334270
63%	0.625000	0.360736
66%	0.656250	0.387447
69%	0.687500	0.416668
72%	0.718750	0.445940
75%	0.750000	0.475529
78%	0.781250	0.507533
81%	0.812500	0.540245
84%	0.843750	0.574000
88%	0.875000	0.608158
91%	0.906250	0.670107
94%	0.937500	0.750924
97%	0.968750	0.836515
100%	1.000000	1.000000

\begin{tabular}{lllllllll}
\hline

Concentration 4 - Lorenz Curve - Ungrouped Data \tabularnewline

Cumulative % of population

Cumulative % of variable \tabularnewline

Expected

Observed \tabularnewline

0.000000

0.000010 \tabularnewline

0.031250

0.007771 \tabularnewline

0.062500

0.016895 \tabularnewline

0.093750

0.026618 \tabularnewline

13%

0.125000

0.036397 \tabularnewline

16%

0.156250

0.048542 \tabularnewline

19%

0.187500

0.063446 \tabularnewline

22%

0.218750

0.079822 \tabularnewline

25%

0.250000

0.097020 \tabularnewline

28%

0.281250

0.114626 \tabularnewline

31%

0.312500

0.133076 \tabularnewline

34%

0.343750

0.152593 \tabularnewline

38%

0.375000

0.172419 \tabularnewline

41%

0.406250

0.192523 \tabularnewline

44%

0.437500

0.214692 \tabularnewline

47%

0.468750

0.236973 \tabularnewline

50%

0.500000

0.259685 \tabularnewline

53%

0.531250

0.283270 \tabularnewline

56%

0.562500

0.308221 \tabularnewline

59%

0.593750

0.334270 \tabularnewline

63%

0.625000

0.360736 \tabularnewline

66%

0.656250

0.387447 \tabularnewline

69%

0.687500

0.416668 \tabularnewline

72%

0.718750

0.445940 \tabularnewline

75%

0.750000

0.475529 \tabularnewline

78%

0.781250

0.507533 \tabularnewline

81%

0.812500

0.540245 \tabularnewline

84%

0.843750

0.574000 \tabularnewline

88%

0.875000

0.608158 \tabularnewline

91%

0.906250

0.670107 \tabularnewline

94%

0.937500

0.750924 \tabularnewline

97%

0.968750

0.836515 \tabularnewline

100%

1.000000

1.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10083&T=3

[TABLE]

[ROW][C]Concentration 4 - Lorenz Curve - Ungrouped Data[/C][/ROW]

[ROW]

Cumulative % of population[/C]

Cumulative % of variable[/C][/ROW] [ROW]

[/C]

Expected[/C]

Observed[/C][/ROW] [ROW]

0%[/C]

0.000000[/C]

0.000010[/C][/ROW] [ROW]

3%[/C]

0.031250[/C]

0.007771[/C][/ROW] [ROW]

6%[/C]

0.062500[/C]

0.016895[/C][/ROW] [ROW]

9%[/C]

0.093750[/C]

0.026618[/C][/ROW] [ROW]

13%[/C]

0.125000[/C]

0.036397[/C][/ROW] [ROW]

16%[/C]

0.156250[/C]

0.048542[/C][/ROW] [ROW]

19%[/C]

0.187500[/C]

0.063446[/C][/ROW] [ROW]

22%[/C]

0.218750[/C]

0.079822[/C][/ROW] [ROW]

25%[/C]

0.250000[/C]

0.097020[/C][/ROW] [ROW]

28%[/C]

0.281250[/C]

0.114626[/C][/ROW] [ROW]

31%[/C]

0.312500[/C]

0.133076[/C][/ROW] [ROW]

34%[/C]

0.343750[/C]

0.152593[/C][/ROW] [ROW]

38%[/C]

0.375000[/C]

0.172419[/C][/ROW] [ROW]

41%[/C]

0.406250[/C]

0.192523[/C][/ROW] [ROW]

44%[/C]

0.437500[/C]

0.214692[/C][/ROW] [ROW]

47%[/C]

0.468750[/C]

0.236973[/C][/ROW] [ROW]

50%[/C]

0.500000[/C]

0.259685[/C][/ROW] [ROW]

53%[/C]

0.531250[/C]

0.283270[/C][/ROW] [ROW]

56%[/C]

0.562500[/C]

0.308221[/C][/ROW] [ROW]

59%[/C]

0.593750[/C]

0.334270[/C][/ROW] [ROW]

63%[/C]

0.625000[/C]

0.360736[/C][/ROW] [ROW]

66%[/C]

0.656250[/C]

0.387447[/C][/ROW] [ROW]

69%[/C]

0.687500[/C]

0.416668[/C][/ROW] [ROW]

72%[/C]

0.718750[/C]

0.445940[/C][/ROW] [ROW]

75%[/C]

0.750000[/C]

0.475529[/C][/ROW] [ROW]

78%[/C]

0.781250[/C]

0.507533[/C][/ROW] [ROW]

81%[/C]

0.812500[/C]

0.540245[/C][/ROW] [ROW]

84%[/C]

0.843750[/C]

0.574000[/C][/ROW] [ROW]

88%[/C]

0.875000[/C]

0.608158[/C][/ROW] [ROW]

91%[/C]

0.906250[/C]

0.670107[/C][/ROW] [ROW]

94%[/C]

0.937500[/C]

0.750924[/C][/ROW] [ROW]

97%[/C]

0.968750[/C]

0.836515[/C][/ROW] [ROW]

100%[/C]

1.000000[/C]

1.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10083&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10083&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
3%	0.031250	0.007771
6%	0.062500	0.016895
9%	0.093750	0.026618
13%	0.125000	0.036397
16%	0.156250	0.048542
19%	0.187500	0.063446
22%	0.218750	0.079822
25%	0.250000	0.097020
28%	0.281250	0.114626
31%	0.312500	0.133076
34%	0.343750	0.152593
38%	0.375000	0.172419
41%	0.406250	0.192523
44%	0.437500	0.214692
47%	0.468750	0.236973
50%	0.500000	0.259685
53%	0.531250	0.283270
56%	0.562500	0.308221
59%	0.593750	0.334270
63%	0.625000	0.360736
66%	0.656250	0.387447
69%	0.687500	0.416668
72%	0.718750	0.445940
75%	0.750000	0.475529
78%	0.781250	0.507533
81%	0.812500	0.540245
84%	0.843750	0.574000
88%	0.875000	0.608158
91%	0.906250	0.670107
94%	0.937500	0.750924
97%	0.968750	0.836515
100%	1.000000	1.000000

Parameters (Session):

Parameters (R input):

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

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code