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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_fitdistrbeta.wasp
Title produced by softwareMaximum-likelihood Fitting - Beta Distribution
Date of computationMon, 05 Dec 2011 14:06:58 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/05/t1323112024tsnypdnarwquh5s.htm/, Retrieved Fri, 03 May 2024 06:25:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151188, Retrieved Fri, 03 May 2024 06:25:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Maximum-likelihood Fitting - Beta Distribution] [] [2011-12-05 19:06:58] [c80accbb627afb8a1e74b91ef6a0d2c4] [Current]
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Dataseries X:
0.224565646
0.261571480
0.253029834
0.033938060
0.353208554
0.033295045
0.002171707
0.084136132
0.077468368
0.010160325
0.079746191
0.263485597
0.460389066
0.132348066
0.529154319
0.032287005
0.472190992
0.037985170
0.019795866
0.053763887
0.086771175
0.143764004
0.202780264
0.006932185
0.124637036
0.116166293
0.037363442
0.416532177
0.612491026
0.012781084
0.163992436
0.212717925
0.092409609
0.150134816
0.047430792
0.022017328
0.350262865
0.013821921
0.578796918
0.030264300
0.090627282
0.029354226
0.182663201
0.372085552
0.235142217
0.311617946
0.030548270
0.068424450
0.043757662
0.238109173
0.465951209
0.127494709
0.010810575
0.230141979
0.426687450
0.175605499
0.005595384
0.203565169
0.236888269
0.153586896
0.027445414
0.026240968
0.299075759
0.171469487
0.016355307
0.220064442
0.137054994
0.034683689
0.085767702
0.119746590
0.223347602
0.026601623
0.063485064
0.467803972
0.012650088
0.048496183
0.047170846
0.043196485
0.095073370
0.538513979
0.045034181
0.427235474
0.289835816
0.150884924
0.176887675
0.369202741
0.178461483
0.077501113
0.281105892
0.051375864
0.357311398
0.561861189
0.028342902
0.326209843
0.303994601
0.020530542
0.278139180
0.582716856
0.071720238
0.237546024




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151188&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151188&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151188&T=0

As an alternative you can also use a 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 time2 seconds
R Server'AstonUniversity' @ aston.wessa.net







ParameterEstimated ValueStandard Deviation
shape10.8831678444389220.109123836845615
shape24.031500876677590.61174225044143

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
shape1 & 0.883167844438922 & 0.109123836845615 \tabularnewline
shape2 & 4.03150087667759 & 0.61174225044143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151188&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]shape1[/C][C]0.883167844438922[/C][C]0.109123836845615[/C][/ROW]
[ROW][C]shape2[/C][C]4.03150087667759[/C][C]0.61174225044143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151188&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151188&T=1

As an alternative you can also use a QR Code:  

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

ParameterEstimated ValueStandard Deviation
shape10.8831678444389220.109123836845615
shape24.031500876677590.61174225044143



Parameters (Session):
par1 = 0.1 ; par2 = 3 ; par3 = 2 ; par4 = 6 ;
Parameters (R input):
par1 = 0.1 ; par2 = 3 ; par3 = 2 ; par4 = 6 ;
R code (references can be found in the software module):
library(MASS)
PPCCBeta <- function(shape1, shape2, x)
{
x <- sort(x)
pp <- ppoints(x)
cor(qbeta(pp, shape1=shape1, shape2=shape2), x)
}
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 < 0.1) par1 <- 0.1
if (par1 > 10) par1 <- 10
if (par2 < 0.1) par2 <- 0.1
if (par2 > 10) par2 <- 10
if (par3 < 0.1) par3 <- 0.1
if (par3 > 10) par3 <- 10
if (par4 < 0.1) par4 <- 0.1
if (par4 > 10) par4 <- 10
par1h <- par1*10
par2h <- par2*10
par3h <- par3*10
par4h <- par4*10
sortx <- sort(x)
c <- array(NA,dim=c(par2h,par4h))
for (i in par1h:par2h)
{
for (j in par3h:par4h)
{
c[i,j] <- cor(qbeta(ppoints(x), shape1=i/10,shape2=j/10),sortx)
}
}
bitmap(file='test1.png')
filled.contour((par1h:par2h)/10,(par3h:par4h)/10,c[par1h:par2h,par3h:par4h],xlab='shape1',ylab='shape2',main='PPCC Contour Plot - Beta')
dev.off()
xbar <- mean(x)
xvar <- var(x)
(a <- (xbar*(1-xbar)/xvar - 1)*xbar)
(b <- (1-xbar)*a/xbar)
(f<-fitdistr(x, 'beta',list(shape1=a,shape2=b)))
xlab <- paste('Beta(shape1=',round(f$estimate[[1]],2))
xlab <- paste(xlab,', shape2=')
xlab <- paste(xlab,round(f$estimate[[2]],2))
xlab <- paste(xlab,')')
bitmap(file='test2.png')
myser <- qbeta(ppoints(x), shape1=f$estimate[[1]], shape2=f$estimate[[2]])
qqplot(myser, x, main='QQ plot (Beta)', 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,'shape1',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,'shape2',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')