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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_fitdistrgamma.wasp
Title produced by softwareMaximum-likelihood Fitting - Gamma Distribution
Date of computationWed, 05 Sep 2012 21:02:41 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Sep/05/t1346895136zb8hkiw6m0geh5g.htm/, Retrieved Mon, 06 May 2024 02:44:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=169611, Retrieved Mon, 06 May 2024 02:44:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Maximum-likelihood Fitting - Gamma Distribution] [] [2012-09-06 01:02:41] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
48.948
48.338
48.885
49.217
48.056
49.018
49.490
48.113
49.365
48.093
47.829
47.732
50.759
48.358
49.717
50.546
48.841
49.932
48.932
47.950
47.409
48.803
48.695
47.111
48.749
49.028
47.833
51.445
50.113
49.565
50.343
50.491
50.147
51.764
51.276
51.436
50.403
49.517
49.077
47.781
48.446
47.979
50.436
49.250
49.498
49.500
49.500
51.100
48.900
49.600
50.500
51.000
49.800
50.500
50.704
49.377
50.999
50.166
49.777
50.437
50.673
50.524
50.715
49.319
49.440
49.123
50.036
49.688
48.633
50.103
49.662
49.916

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169611&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169611&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169611&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






ParameterEstimated ValueStandard Deviation
shape2144.66092736792356.951940796134
rate43.32154484742017.21117112840077

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
shape & 2144.66092736792 & 356.951940796134 \tabularnewline
rate & 43.3215448474201 & 7.21117112840077 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169611&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]shape[/C][C]2144.66092736792[/C][C]356.951940796134[/C][/ROW]
[ROW][C]rate[/C][C]43.3215448474201[/C][C]7.21117112840077[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169611&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169611&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:

ParameterEstimated ValueStandard Deviation
shape2144.66092736792356.951940796134
rate43.32154484742017.21117112840077


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 8 ;
Parameters (R input):
par1 = 1 ; par2 = 8 ;
R code (references can be found in the software module):
library(MASS)
PPCCGamma <- function(shape, rate, x)
{
x <- sort(x)
pp <- ppoints(x)
cor(qgamma(pp, shape=shape, rate=rate), x)
}
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
if (par1 < 0.1) par1 <- 0.1
if (par1 > 50) par1 <- 50
if (par2 < 0.1) par2 <- 0.1
if (par2 > 50) par2 <- 50
par1h <- par1*10
par2h <- par2*10
sortx <- sort(x)
c <- array(NA,dim=c(par2h))
for (i in par1h:par2h)
{
c[i] <- cor(qgamma(ppoints(x), shape=i/10,rate=2),sortx)
}
bitmap(file='test1.png')
plot((par1h:par2h)/10,c[par1h:par2h],xlab='shape',ylab='correlation',main='PPCC Plot - Gamma')
dev.off()
f<-fitdistr(x, 'gamma')
f$estimate
f$sd
xlab <- paste('Gamma(shape=',round(f$estimate[[1]],2))
xlab <- paste(xlab,', rate=')
xlab <- paste(xlab,round(f$estimate[[2]],2))
xlab <- paste(xlab,')')
bitmap(file='test2.png')
qqplot(qgamma(ppoints(x), shape=f$estimate[[1]], rate=f$estimate[[2]]), x, main='QQ plot (Gamma)', xlab=xlab )
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Parameter',1,TRUE)
a<-table.element(a,'Estimated Value',1,TRUE)
a<-table.element(a,'Standard Deviation',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'shape',header=TRUE)
a<-table.element(a,f$estimate[1])
a<-table.element(a,f$sd[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'rate',header=TRUE)
a<-table.element(a,f$estimate[2])
a<-table.element(a,f$sd[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')