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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 computationFri, 16 Apr 2010 12:32:42 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Apr/16/t12714212021l760rq7w9ap3n7.htm/, Retrieved Fri, 26 Apr 2024 11:48:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74653, Retrieved Fri, 26 Apr 2024 11:48:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsB611,steven,coomans,gamma,thesis
Estimated Impact227

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] [B611,steven,cooma...] [2010-04-16 12:32:42] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
46.426
46.855
153.135
64
31
2.25
2.25
2.3
22.6
1.5
10.65
34
81.75
106.5
0.525
24.025
5.25
9
12.8
25.05
0.3
75.75
54.75
1.526
30.993
3.752
17.25
9.2
50.25
2.25
3.95
60
55.8
6.75
61.95
7.025
85.75
18.525
6
25.35
46.775
51.025
30
3
30
44
80.75
27.5
39.725
29.25
32.725
56.25
28.65
51.75
32.26
72
65.4
33.75
77.85
10.875

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74653&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74653&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74653&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'RServer@AstonUniversity' @ vre.aston.ac.uk






ParameterEstimated ValueStandard Deviation
shape0.9470097461992730.15129802946213
rate0.02702618154142330.00560159727377721

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
shape & 0.947009746199273 & 0.15129802946213 \tabularnewline
rate & 0.0270261815414233 & 0.00560159727377721 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74653&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]shape[/C][C]0.947009746199273[/C][C]0.15129802946213[/C][/ROW]
[ROW][C]rate[/C][C]0.0270261815414233[/C][C]0.00560159727377721[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74653&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74653&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
shape0.9470097461992730.15129802946213
rate0.02702618154142330.00560159727377721


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')