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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_rnglnorm.wasp
Title produced by softwareRandom Number Generator - Log-Normal Distribution
Date of computationFri, 14 Oct 2011 13:02:45 -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/2011/Oct/14/t1318611785utk0rd92tunewvu.htm/, Retrieved Thu, 16 May 2024 23:00:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=129596, Retrieved Thu, 16 May 2024 23:00:36 +0000
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User-defined keywords
Estimated Impact94
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Log-Normal Distribution] [Workshop 3 Taak 7] [2011-10-14 17:02:45] [5c44e6aad476a1bab98fc6774eca4c08] [Current]
- R P     [Random Number Generator - Log-Normal Distribution] [Workshop 3 Taak 7...] [2011-10-14 17:04:11] [de8512d9b386046939a89973b76869e3]
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129596&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129596&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129596&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 time1 seconds
R Server'AstonUniversity' @ aston.wessa.net







ParameterX1X2X3X4X5X6X7X8X9X10
(SD)(SD)(SD)(SD)(SD)(SD)(SD)(SD)(SD)(SD)
# simulated values11111111111111111111
true mean175175175175175175175175175175
true standard deviation14.4314.4314.4314.4314.4314.4314.4314.4314.4314.43
mean170.22177.04178.32186.37174.78169.13166.36175.31174.34170.71
5.63.445.994.023.144.63.54.993.514.6
standard deviation18.5711.3919.8813.3210.4115.2511.616.5511.6515.26
3.962.434.242.842.223.252.473.532.483.25

\begin{tabular}{lllllllll}
\hline
Parameter & X1 & X2 & X3 & X4 & X5 & X6 & X7 & X8 & X9 & X10 \tabularnewline
  & (SD) & (SD) & (SD) & (SD) & (SD) & (SD) & (SD) & (SD) & (SD) & (SD) \tabularnewline
# simulated values & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
true mean & 175 & 175 & 175 & 175 & 175 & 175 & 175 & 175 & 175 & 175 \tabularnewline
true standard deviation & 14.43 & 14.43 & 14.43 & 14.43 & 14.43 & 14.43 & 14.43 & 14.43 & 14.43 & 14.43 \tabularnewline
mean & 170.22 & 177.04 & 178.32 & 186.37 & 174.78 & 169.13 & 166.36 & 175.31 & 174.34 & 170.71 \tabularnewline
  & 5.6 & 3.44 & 5.99 & 4.02 & 3.14 & 4.6 & 3.5 & 4.99 & 3.51 & 4.6 \tabularnewline
standard deviation & 18.57 & 11.39 & 19.88 & 13.32 & 10.41 & 15.25 & 11.6 & 16.55 & 11.65 & 15.26 \tabularnewline
  & 3.96 & 2.43 & 4.24 & 2.84 & 2.22 & 3.25 & 2.47 & 3.53 & 2.48 & 3.25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129596&T=1

[TABLE]
[ROW][C]Parameter[/C][C]X1[/C][C]X2[/C][C]X3[/C][C]X4[/C][C]X5[/C][C]X6[/C][C]X7[/C][C]X8[/C][C]X9[/C][C]X10[/C][/ROW]
[ROW][C] [/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][C](SD)[/C][/ROW]
[ROW][C]# simulated values[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]true mean[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][C]175[/C][/ROW]
[ROW][C]true standard deviation[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][C]14.43[/C][/ROW]
[ROW][C]mean[/C][C]170.22[/C][C]177.04[/C][C]178.32[/C][C]186.37[/C][C]174.78[/C][C]169.13[/C][C]166.36[/C][C]175.31[/C][C]174.34[/C][C]170.71[/C][/ROW]
[ROW][C] [/C][C]5.6[/C][C]3.44[/C][C]5.99[/C][C]4.02[/C][C]3.14[/C][C]4.6[/C][C]3.5[/C][C]4.99[/C][C]3.51[/C][C]4.6[/C][/ROW]
[ROW][C]standard deviation[/C][C]18.57[/C][C]11.39[/C][C]19.88[/C][C]13.32[/C][C]10.41[/C][C]15.25[/C][C]11.6[/C][C]16.55[/C][C]11.65[/C][C]15.26[/C][/ROW]
[ROW][C] [/C][C]3.96[/C][C]2.43[/C][C]4.24[/C][C]2.84[/C][C]2.22[/C][C]3.25[/C][C]2.47[/C][C]3.53[/C][C]2.48[/C][C]3.25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129596&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129596&T=1

As an alternative you can also use a QR Code:  

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

ParameterX1X2X3X4X5X6X7X8X9X10
(SD)(SD)(SD)(SD)(SD)(SD)(SD)(SD)(SD)(SD)
# simulated values11111111111111111111
true mean175175175175175175175175175175
true standard deviation14.4314.4314.4314.4314.4314.4314.4314.4314.4314.43
mean170.22177.04178.32186.37174.78169.13166.36175.31174.34170.71
5.63.445.994.023.144.63.54.993.514.6
standard deviation18.5711.3919.8813.3210.4115.2511.616.5511.6515.26
3.962.434.242.842.223.252.473.532.483.25



Parameters (Session):
par1 = 11 ; par2 = 175 ; par3 = 14.43 ; par4 = 8 ; par5 = N ; par6 = 0 ; par7 = 1000 ;
Parameters (R input):
par1 = 11 ; par2 = 175 ; par3 = 14.43 ; par4 = 8 ; par5 = N ; par6 = 0 ; par7 = 1000 ;
R code (references can be found in the software module):
library(MASS)
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par2 <- round(par2,2) #rounded (we want to be able to display 10 columns)
par3 <- as.numeric(par3)
par3 <- round(par3,2) #rounded (we want to be able to display 10 columns)
par4 <- as.numeric(par4)
if (par6 == '0') par6 = 'Sturges' else par6 <- as.numeric(par6)
par7 <- as.numeric(par7)
x <- array(NA,dim=c(par7,par1))
rest.mean <- array(NA,dim=c(par7))
rest.sd <- array(NA,dim=c(par7))
rsd.mean <- array(NA,dim=c(par7))
rsd.sd <- array(NA,dim=c(par7))
for (i in 1:par7)
{
x[i,] <- rlnorm(par1,par2,par3)
x[i,] <- as.ts(x[i,]) #otherwise the fitdistr function does not work properly
dum <- fitdistr(x[i,],'log-normal')
rest.mean[i] <- dum$estimate[1]
rest.sd[i] <- dum$estimate[2]
rsd.mean[i] <- dum$sd[1]
rsd.sd[i] <- dum$sd[2]
}
nc <- par7
if (nc > 10) nc = 10
if (par5 == 'Y')
{
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Index',1,TRUE)
for (j in 1:nc)
{
a<-table.element(a,paste('X',j),1,TRUE)
}
a<-table.row.end(a)
if (nc < par7)
{
a<-table.row.start(a)
a<-table.element(a,'Note: only the first 10 series are displayed',nc+1,TRUE)
a<-table.row.end(a)
}
for (i in 1:par1)
{
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,round(x[j,i],2))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Parameter',1,TRUE)
for (j in 1:nc)
{
a<-table.element(a,paste('X',j,sep=''),1,TRUE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',1,TRUE)
for (j in 1:nc)
{
a<-table.element(a,'(SD)',1,TRUE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'# simulated values',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,par1)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'true mean',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,par2)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'true standard deviation',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,par3)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,round(rest.mean[j],2))
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,round(rsd.mean[j],2))
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,round(rest.sd[j],2))
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (j in 1:nc)
{
a<-table.element(a,round(rsd.sd[j],2))
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
bitmap(file='test0.png')
myhist<-hist(x[1,],col=par4,breaks=par6,main='Histogram of 1st simulated series',ylab='density',xlab='simulated values',freq=F)
dev.off()
bitmap(file='test1.png')
myhist<-hist(rest.mean[],col=par4,breaks=par6,main='Histogram of Estimated Means',ylab='density',xlab='estimated means',freq=F)
x <- rest.mean[]
dummean <- mean(x)
dumsd <- sd(x)
curve(1/(dumsd*sqrt(2*pi))*exp(-1/2*((x-dummean)/dumsd)^2),min(x),max(x),add=T)
dev.off()
bitmap(file='test2.png')
myhist<-hist(rest.sd[],col=par4,breaks=par6,main='Histogram of Estimated SDs',ylab='density',xlab='estimated standard deviations',freq=F)
x <- rest.sd[]
dummean <- mean(x)
dumsd <- sd(x)
curve(1/(dumsd*sqrt(2*pi))*exp(-1/2*((x-dummean)/dumsd)^2),min(x),max(x),add=T)
dev.off()