Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

co.wasp

Title produced by software

Concentration

Date of computation

Mon, 29 Oct 2007 15:26:37 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Oct/29/4yxgirl8zurrbjo1193697771.htm/, Retrieved Sun, 05 May 2024 11:36:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2091, Retrieved Sun, 05 May 2024 11:36:33 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

Trial analysis of the iconography of a given subject by Italian artists from the Middle Ages to modern Times

IsPrivate?

No (this computation is public)

User-defined keywords

artists, artworks

Estimated Impact

210

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

-       [Concentration] [Italian Artworks ...] [2007-10-29 22:26:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Concentration - Ungrouped Data
Entropy	2.091218
Maximum Entropy	2.484907
Normalized Entropy	0.841568
Exponential Index	0.123537
Herfindahl	0.152126
Normalized Herfindahl	0.075047
Gini Coefficient	0.484562
Concentration Coefficient	0.528613
Categories	12

\begin{tabular}{lllllllll}
\hline

Concentration - Ungrouped Data \tabularnewline

Entropy

2.091218 \tabularnewline Maximum Entropy

2.484907 \tabularnewline Normalized Entropy

0.841568 \tabularnewline Exponential Index

0.123537 \tabularnewline Herfindahl

0.152126 \tabularnewline Normalized Herfindahl

0.075047 \tabularnewline Gini Coefficient

0.484562 \tabularnewline Concentration Coefficient

0.528613 \tabularnewline Categories

12 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2091&T=0

[TABLE]

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

[ROW][C]Entropy[/C]

2.091218[/C][/ROW] [ROW][C]Maximum Entropy[/C]

2.484907[/C][/ROW] [ROW][C]Normalized Entropy[/C]

0.841568[/C][/ROW] [ROW][C]Exponential Index[/C]

0.123537[/C][/ROW] [ROW][C]Herfindahl[/C]

0.152126[/C][/ROW] [ROW][C]Normalized Herfindahl[/C]

0.075047[/C][/ROW] [ROW][C]Gini Coefficient[/C]

0.484562[/C][/ROW] [ROW][C]Concentration Coefficient[/C]

0.528613[/C][/ROW] [ROW][C]Categories[/C]

12[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2091&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2091&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	2.091218
Maximum Entropy	2.484907
Normalized Entropy	0.841568
Exponential Index	0.123537
Herfindahl	0.152126
Normalized Herfindahl	0.075047
Gini Coefficient	0.484562
Concentration Coefficient	0.528613
Categories	12

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	11.000000	0.010138	0.046549	0.022259
2	23.000000	0.021198	0.081694	0.039065
3	245.000000	0.225806	0.336017	0.160680
4	245.000000	0.225806	0.336017	0.160680
5	165.000000	0.152074	0.286414	0.136960
6	115.000000	0.105991	0.237886	0.113755
7	82.000000	0.075576	0.195184	0.093335
8	86.000000	0.079263	0.200930	0.096083
9	49.000000	0.045161	0.139888	0.066893
10	22.000000	0.020276	0.079044	0.037798
11	16.000000	0.014747	0.062182	0.029735
12	26.000000	0.023963	0.089412	0.042756

\begin{tabular}{lllllllll}
\hline

Concentration 2 - Ungrouped Data \tabularnewline

Category

Elements (Absolute)

Elements (Relative)

Entropy (Absolute)

Entropy (Relative) \tabularnewline

11.000000

0.010138

0.046549

0.022259 \tabularnewline

23.000000

0.021198

0.081694

0.039065 \tabularnewline

245.000000

0.225806

0.336017

0.160680 \tabularnewline

245.000000

0.225806

0.336017

0.160680 \tabularnewline

165.000000

0.152074

0.286414

0.136960 \tabularnewline

115.000000

0.105991

0.237886

0.113755 \tabularnewline

82.000000

0.075576

0.195184

0.093335 \tabularnewline

86.000000

0.079263

0.200930

0.096083 \tabularnewline

49.000000

0.045161

0.139888

0.066893 \tabularnewline

22.000000

0.020276

0.079044

0.037798 \tabularnewline

16.000000

0.014747

0.062182

0.029735 \tabularnewline

26.000000

0.023963

0.089412

0.042756 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2091&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]

11.000000[/C]

0.010138[/C]

0.046549[/C]

0.022259[/C][/ROW] [ROW]

2[/C]

23.000000[/C]

0.021198[/C]

0.081694[/C]

0.039065[/C][/ROW] [ROW]

3[/C]

245.000000[/C]

0.225806[/C]

0.336017[/C]

0.160680[/C][/ROW] [ROW]

4[/C]

245.000000[/C]

0.225806[/C]

0.336017[/C]

0.160680[/C][/ROW] [ROW]

5[/C]

165.000000[/C]

0.152074[/C]

0.286414[/C]

0.136960[/C][/ROW] [ROW]

6[/C]

115.000000[/C]

0.105991[/C]

0.237886[/C]

0.113755[/C][/ROW] [ROW]

7[/C]

82.000000[/C]

0.075576[/C]

0.195184[/C]

0.093335[/C][/ROW] [ROW]

8[/C]

86.000000[/C]

0.079263[/C]

0.200930[/C]

0.096083[/C][/ROW] [ROW]

9[/C]

49.000000[/C]

0.045161[/C]

0.139888[/C]

0.066893[/C][/ROW] [ROW]

10[/C]

22.000000[/C]

0.020276[/C]

0.079044[/C]

0.037798[/C][/ROW] [ROW]

11[/C]

16.000000[/C]

0.014747[/C]

0.062182[/C]

0.029735[/C][/ROW] [ROW]

12[/C]

26.000000[/C]

0.023963[/C]

0.089412[/C]

0.042756[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2091&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2091&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	11.000000	0.010138	0.046549	0.022259
2	23.000000	0.021198	0.081694	0.039065
3	245.000000	0.225806	0.336017	0.160680
4	245.000000	0.225806	0.336017	0.160680
5	165.000000	0.152074	0.286414	0.136960
6	115.000000	0.105991	0.237886	0.113755
7	82.000000	0.075576	0.195184	0.093335
8	86.000000	0.079263	0.200930	0.096083
9	49.000000	0.045161	0.139888	0.066893
10	22.000000	0.020276	0.079044	0.037798
11	16.000000	0.014747	0.062182	0.029735
12	26.000000	0.023963	0.089412	0.042756

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	11.000000	0.010138	0.046549	0.022259
2	34.000000	0.031336	0.128243	0.061325
3	279.000000	0.257143	0.464261	0.222005
4	524.000000	0.482949	0.800278	0.382685
5	689.000000	0.635023	1.086692	0.519646
6	804.000000	0.741014	1.324578	0.633400
7	886.000000	0.816590	1.519762	0.726735
8	972.000000	0.895853	1.720692	0.822818
9	1021.000000	0.941014	1.860580	0.889711
10	1043.000000	0.961290	1.939624	0.927509
11	1059.000000	0.976037	2.001806	0.957244
12	1085.000000	1.000000	2.091218	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

11.000000

0.010138

0.046549

0.022259 \tabularnewline

34.000000

0.031336

0.128243

0.061325 \tabularnewline

279.000000

0.257143

0.464261

0.222005 \tabularnewline

524.000000

0.482949

0.800278

0.382685 \tabularnewline

689.000000

0.635023

1.086692

0.519646 \tabularnewline

804.000000

0.741014

1.324578

0.633400 \tabularnewline

886.000000

0.816590

1.519762

0.726735 \tabularnewline

972.000000

0.895853

1.720692

0.822818 \tabularnewline

1021.000000

0.941014

1.860580

0.889711 \tabularnewline

1043.000000

0.961290

1.939624

0.927509 \tabularnewline

1059.000000

0.976037

2.001806

0.957244 \tabularnewline

1085.000000

1.000000

2.091218

1.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2091&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]

11.000000[/C]

0.010138[/C]

0.046549[/C]

0.022259[/C][/ROW] [ROW]

2[/C]

34.000000[/C]

0.031336[/C]

0.128243[/C]

0.061325[/C][/ROW] [ROW]

3[/C]

279.000000[/C]

0.257143[/C]

0.464261[/C]

0.222005[/C][/ROW] [ROW]

4[/C]

524.000000[/C]

0.482949[/C]

0.800278[/C]

0.382685[/C][/ROW] [ROW]

5[/C]

689.000000[/C]

0.635023[/C]

1.086692[/C]

0.519646[/C][/ROW] [ROW]

6[/C]

804.000000[/C]

0.741014[/C]

1.324578[/C]

0.633400[/C][/ROW] [ROW]

7[/C]

886.000000[/C]

0.816590[/C]

1.519762[/C]

0.726735[/C][/ROW] [ROW]

8[/C]

972.000000[/C]

0.895853[/C]

1.720692[/C]

0.822818[/C][/ROW] [ROW]

9[/C]

1021.000000[/C]

0.941014[/C]

1.860580[/C]

0.889711[/C][/ROW] [ROW]

10[/C]

1043.000000[/C]

0.961290[/C]

1.939624[/C]

0.927509[/C][/ROW] [ROW]

11[/C]

1059.000000[/C]

0.976037[/C]

2.001806[/C]

0.957244[/C][/ROW] [ROW]

12[/C]

1085.000000[/C]

1.000000[/C]

2.091218[/C]

1.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2091&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2091&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	11.000000	0.010138	0.046549	0.022259
2	34.000000	0.031336	0.128243	0.061325
3	279.000000	0.257143	0.464261	0.222005
4	524.000000	0.482949	0.800278	0.382685
5	689.000000	0.635023	1.086692	0.519646
6	804.000000	0.741014	1.324578	0.633400
7	886.000000	0.816590	1.519762	0.726735
8	972.000000	0.895853	1.720692	0.822818
9	1021.000000	0.941014	1.860580	0.889711
10	1043.000000	0.961290	1.939624	0.927509
11	1059.000000	0.976037	2.001806	0.957244
12	1085.000000	1.000000	2.091218	1.000000

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
8%	0.083333	0.010138
17%	0.166667	0.024885
25%	0.250000	0.045161
33%	0.333333	0.066359
42%	0.416667	0.090323
50%	0.500000	0.135484
58%	0.583333	0.211060
67%	0.666667	0.290323
75%	0.750000	0.396313
83%	0.833333	0.548387
92%	0.916667	0.774194
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

0.083333

0.010138 \tabularnewline

17%

0.166667

0.024885 \tabularnewline

25%

0.250000

0.045161 \tabularnewline

33%

0.333333

0.066359 \tabularnewline

42%

0.416667

0.090323 \tabularnewline

50%

0.500000

0.135484 \tabularnewline

58%

0.583333

0.211060 \tabularnewline

67%

0.666667

0.290323 \tabularnewline

75%

0.750000

0.396313 \tabularnewline

83%

0.833333

0.548387 \tabularnewline

92%

0.916667

0.774194 \tabularnewline

100%

1.000000

1.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=2091&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]

8%[/C]

0.083333[/C]

0.010138[/C][/ROW] [ROW]

17%[/C]

0.166667[/C]

0.024885[/C][/ROW] [ROW]

25%[/C]

0.250000[/C]

0.045161[/C][/ROW] [ROW]

33%[/C]

0.333333[/C]

0.066359[/C][/ROW] [ROW]

42%[/C]

0.416667[/C]

0.090323[/C][/ROW] [ROW]

50%[/C]

0.500000[/C]

0.135484[/C][/ROW] [ROW]

58%[/C]

0.583333[/C]

0.211060[/C][/ROW] [ROW]

67%[/C]

0.666667[/C]

0.290323[/C][/ROW] [ROW]

75%[/C]

0.750000[/C]

0.396313[/C][/ROW] [ROW]

83%[/C]

0.833333[/C]

0.548387[/C][/ROW] [ROW]

92%[/C]

0.916667[/C]

0.774194[/C][/ROW] [ROW]

100%[/C]

1.000000[/C]

1.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=2091&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2091&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
8%	0.083333	0.010138
17%	0.166667	0.024885
25%	0.250000	0.045161
33%	0.333333	0.066359
42%	0.416667	0.090323
50%	0.500000	0.135484
58%	0.583333	0.211060
67%	0.666667	0.290323
75%	0.750000	0.396313
83%	0.833333	0.548387
92%	0.916667	0.774194
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