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Author's title

Author*Unverified author*
R Software Modulerwasp_fitdistrbeta.wasp
Title produced by softwareMaximum-likelihood Fitting - Beta Distribution
Date of computationFri, 03 Jun 2011 08:27:27 +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/2011/Jun/03/t1307089380uv3ky4k7gueooqg.htm/, Retrieved Sun, 12 May 2024 02:03:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122951, Retrieved Sun, 12 May 2024 02:03:19 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact264
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Maximum-likelihood Fitting - Beta Distribution] [] [2011-06-03 08:27:27] [d41d8cd98f00b204e9800998ecf8427e] [Current]
- RMP     [Harrell-Davis Quantiles] [co2 test] [2011-06-19 12:26:32] [74be16979710d4c4e7c6647856088456]
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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 time3 seconds
R Server'George Udny Yule' @ 216.218.223.82

\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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122951&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122951&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122951&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 time3 seconds
R Server'George Udny Yule' @ 216.218.223.82







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=122951&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=122951&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122951&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')