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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_concentration.wasp
Title produced by softwareConcentration and Inequality
Date of computationWed, 09 Sep 2020 21:45:23 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/Sep/09/t1599680961kr3tos7az7spnfa.htm/, Retrieved Fri, 26 Apr 2024 20:33:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319238, Retrieved Fri, 26 Apr 2024 20:33:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Concentration and Inequality] [] [2020-09-09 19:45:23] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14357
16948
17541
21457
22872
23633
29734
36589
37073
49339
50001
50714

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319238&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319238&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319238&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Concentration - Ungrouped Data
MeasureValue
Number of Categories12
Maximum Entropy2.484906649788
Entropy2.39725376479864
Normalised Entropy0.964725884170805
Max. Entropy - Entropy0.0876528849893585
Theil Entropy Index0.0876528849893582
Exponential Index0.0909674285281812
Herfindahl0.0980860581503109
Normalised Herfindahl0.016093881618521
Rosenbluth0.108970755559375
Gini0.235268830563193
Concentration0.256656906068938
Ricci-Schutz (Pietra)0.187549852625287
Atkinson0.043892021178208
KolmInf
Coefficient of Variation0.420752537489355
Squared Coefficient of Variation0.177032697803731

\begin{tabular}{lllllllll}
\hline
Concentration - Ungrouped Data \tabularnewline
Measure & Value \tabularnewline
Number of Categories & 12 \tabularnewline
Maximum Entropy & 2.484906649788 \tabularnewline
Entropy & 2.39725376479864 \tabularnewline
Normalised Entropy & 0.964725884170805 \tabularnewline
Max. Entropy - Entropy & 0.0876528849893585 \tabularnewline
Theil Entropy Index & 0.0876528849893582 \tabularnewline
Exponential Index & 0.0909674285281812 \tabularnewline
Herfindahl & 0.0980860581503109 \tabularnewline
Normalised Herfindahl & 0.016093881618521 \tabularnewline
Rosenbluth & 0.108970755559375 \tabularnewline
Gini & 0.235268830563193 \tabularnewline
Concentration & 0.256656906068938 \tabularnewline
Ricci-Schutz (Pietra) & 0.187549852625287 \tabularnewline
Atkinson & 0.043892021178208 \tabularnewline
Kolm & Inf \tabularnewline
Coefficient of Variation & 0.420752537489355 \tabularnewline
Squared Coefficient of Variation & 0.177032697803731 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319238&T=1

[TABLE]
[ROW][C]Concentration - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][/ROW]
[ROW][C]Number of Categories[/C][C]12[/C][/ROW]
[ROW][C]Maximum Entropy[/C][C]2.484906649788[/C][/ROW]
[ROW][C]Entropy[/C][C]2.39725376479864[/C][/ROW]
[ROW][C]Normalised Entropy[/C][C]0.964725884170805[/C][/ROW]
[ROW][C]Max. Entropy - Entropy[/C][C]0.0876528849893585[/C][/ROW]
[ROW][C]Theil Entropy Index[/C][C]0.0876528849893582[/C][/ROW]
[ROW][C]Exponential Index[/C][C]0.0909674285281812[/C][/ROW]
[ROW][C]Herfindahl[/C][C]0.0980860581503109[/C][/ROW]
[ROW][C]Normalised Herfindahl[/C][C]0.016093881618521[/C][/ROW]
[ROW][C]Rosenbluth[/C][C]0.108970755559375[/C][/ROW]
[ROW][C]Gini[/C][C]0.235268830563193[/C][/ROW]
[ROW][C]Concentration[/C][C]0.256656906068938[/C][/ROW]
[ROW][C]Ricci-Schutz (Pietra)[/C][C]0.187549852625287[/C][/ROW]
[ROW][C]Atkinson[/C][C]0.043892021178208[/C][/ROW]
[ROW][C]Kolm[/C][C]Inf[/C][/ROW]
[ROW][C]Coefficient of Variation[/C][C]0.420752537489355[/C][/ROW]
[ROW][C]Squared Coefficient of Variation[/C][C]0.177032697803731[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319238&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319238&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Concentration - Ungrouped Data
MeasureValue
Number of Categories12
Maximum Entropy2.484906649788
Entropy2.39725376479864
Normalised Entropy0.964725884170805
Max. Entropy - Entropy0.0876528849893585
Theil Entropy Index0.0876528849893582
Exponential Index0.0909674285281812
Herfindahl0.0980860581503109
Normalised Herfindahl0.016093881618521
Rosenbluth0.108970755559375
Gini0.235268830563193
Concentration0.256656906068938
Ricci-Schutz (Pietra)0.187549852625287
Atkinson0.043892021178208
KolmInf
Coefficient of Variation0.420752537489355
Squared Coefficient of Variation0.177032697803731


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
library(ineq)
my_minimum <- min(x)
if(my_minimum < 0) {
stop('Negative values are not allowed.')
}
myLength <- length(x)
myMaximumEntropy <- log(myLength)
mySum <- sum(x)
myProportion <- x/mySum
myEntropy <- -sum(myProportion * log(myProportion))
myNormalizedEntropy <- myEntropy / myMaximumEntropy
myDifference <- myMaximumEntropy - myEntropy
myTheilEntropyIndex <- entropy(x,parameter=1,na.rm=T)
myExponentialIndex <- exp(-myEntropy)
myHerfindahlMeasure <- sum(myProportion^2)
myHerfindahl <- conc(x,type='Herfindahl',na.rm=T)
myRosenbluth <- conc(x,type='Rosenbluth',na.rm=T)
myNormalizedHerfindahlMeasure <- (myHerfindahlMeasure - 1/myLength) / (1 - 1/myLength)
myGini <- Gini(x,na.rm=T)
myConcentrationCoefficient <- myLength/(myLength -1)*myGini
myRS <- RS(x,na.rm=T)
myAtkinson <- Atkinson(x,na.rm=T)
myKolm <- Kolm(x,na.rm=T)
myCoefficientOfVariation <- var.coeff(x,square=F,na.rm=T)
mySquaredCoefficientOfVariation <- var.coeff(x,square=T,na.rm=T)
bitmap(file='plot1.png')
plot(Lc(x))
grid()
dev.off()
bitmap(file='plot2.png')
plot(Lc(x),general=T)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Concentration - Ungrouped Data',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Categories',header=F)
a<-table.element(a,myLength,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Maximum Entropy',header=F)
a<-table.element(a,myMaximumEntropy,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Entropy',header=F)
a<-table.element(a,myEntropy,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Normalised Entropy',header=F)
a<-table.element(a,myNormalizedEntropy,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Max. Entropy - Entropy',header=F)
a<-table.element(a,myDifference,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Theil Entropy Index',header=F)
a<-table.element(a,myTheilEntropyIndex,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Exponential Index',header=F)
a<-table.element(a,myExponentialIndex,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Herfindahl',header=F)
a<-table.element(a,myHerfindahl,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Normalised Herfindahl',header=F)
a<-table.element(a,myNormalizedHerfindahlMeasure,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Rosenbluth',header=F)
a<-table.element(a,myRosenbluth,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Gini',header=F)
a<-table.element(a,myGini,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Concentration',header=F)
a<-table.element(a,myConcentrationCoefficient,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ricci-Schutz (Pietra)',header=F)
a<-table.element(a,myRS,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Atkinson',header=F)
a<-table.element(a,myAtkinson,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolm',header=F)
a<-table.element(a,myKolm,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Coefficient of Variation',header=F)
a<-table.element(a,myCoefficientOfVariation,header=F)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Squared Coefficient of Variation',header=F)
a<-table.element(a,mySquaredCoefficientOfVariation,header=F)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')