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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_rngnorm.wasp
Title produced by softwareRandom Number Generator - Normal Distribution
Date of computationThu, 31 Dec 2015 18:05:46 +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/2015/Dec/31/t1451585208vw1ywmlt21yqubx.htm/, Retrieved Thu, 16 May 2024 12:51:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=287232, Retrieved Thu, 16 May 2024 12:51:06 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact177
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Normal Distribution] [oef 2] [2015-12-31 18:05:46] [3ad30d25a08bb63539e306f09e59924a] [Current]
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287232&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287232&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287232&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'Herman Ole Andreas Wold' @ wold.wessa.net







ParameterValueStandard Deviation
# simulated values100-
true mean5-
true standard deviation1.7-
mean5.06221444537350.157740373089188
standard deviation1.577403730891880.111539287478261

\begin{tabular}{lllllllll}
\hline
Parameter & Value & Standard Deviation \tabularnewline
# simulated values & 100 & - \tabularnewline
true mean & 5 & - \tabularnewline
true standard deviation & 1.7 & - \tabularnewline
mean & 5.0622144453735 & 0.157740373089188 \tabularnewline
standard deviation & 1.57740373089188 & 0.111539287478261 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287232&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]# simulated values[/C][C]100[/C][C]-[/C][/ROW]
[ROW][C]true mean[/C][C]5[/C][C]-[/C][/ROW]
[ROW][C]true standard deviation[/C][C]1.7[/C][C]-[/C][/ROW]
[ROW][C]mean[/C][C]5.0622144453735[/C][C]0.157740373089188[/C][/ROW]
[ROW][C]standard deviation[/C][C]1.57740373089188[/C][C]0.111539287478261[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287232&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287232&T=1

As an alternative you can also use a QR Code:  

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

ParameterValueStandard Deviation
# simulated values100-
true mean5-
true standard deviation1.7-
mean5.06221444537350.157740373089188
standard deviation1.577403730891880.111539287478261







Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[1,2[1.540.040.040.04
[2,3[2.560.060.10.06
[3,4[3.5140.140.240.14
[4,5[4.5280.280.520.28
[5,6[5.5180.180.70.18
[6,7[6.5200.20.90.2
[7,8[7.560.060.960.06
[8,9]8.540.0410.04

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[1,2[ & 1.5 & 4 & 0.04 & 0.04 & 0.04 \tabularnewline
[2,3[ & 2.5 & 6 & 0.06 & 0.1 & 0.06 \tabularnewline
[3,4[ & 3.5 & 14 & 0.14 & 0.24 & 0.14 \tabularnewline
[4,5[ & 4.5 & 28 & 0.28 & 0.52 & 0.28 \tabularnewline
[5,6[ & 5.5 & 18 & 0.18 & 0.7 & 0.18 \tabularnewline
[6,7[ & 6.5 & 20 & 0.2 & 0.9 & 0.2 \tabularnewline
[7,8[ & 7.5 & 6 & 0.06 & 0.96 & 0.06 \tabularnewline
[8,9] & 8.5 & 4 & 0.04 & 1 & 0.04 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287232&T=2

[TABLE]
[ROW][C]Frequency Table (Histogram)[/C][/ROW]
[ROW][C]Bins[/C][C]Midpoint[/C][C]Abs. Frequency[/C][C]Rel. Frequency[/C][C]Cumul. Rel. Freq.[/C][C]Density[/C][/ROW]
[ROW][C][1,2[[/C][C]1.5[/C][C]4[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[ROW][C][2,3[[/C][C]2.5[/C][C]6[/C][C]0.06[/C][C]0.1[/C][C]0.06[/C][/ROW]
[ROW][C][3,4[[/C][C]3.5[/C][C]14[/C][C]0.14[/C][C]0.24[/C][C]0.14[/C][/ROW]
[ROW][C][4,5[[/C][C]4.5[/C][C]28[/C][C]0.28[/C][C]0.52[/C][C]0.28[/C][/ROW]
[ROW][C][5,6[[/C][C]5.5[/C][C]18[/C][C]0.18[/C][C]0.7[/C][C]0.18[/C][/ROW]
[ROW][C][6,7[[/C][C]6.5[/C][C]20[/C][C]0.2[/C][C]0.9[/C][C]0.2[/C][/ROW]
[ROW][C][7,8[[/C][C]7.5[/C][C]6[/C][C]0.06[/C][C]0.96[/C][C]0.06[/C][/ROW]
[ROW][C][8,9][/C][C]8.5[/C][C]4[/C][C]0.04[/C][C]1[/C][C]0.04[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287232&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287232&T=2

As an alternative you can also use a QR Code:  

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

Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[1,2[1.540.040.040.04
[2,3[2.560.060.10.06
[3,4[3.5140.140.240.14
[4,5[4.5280.280.520.28
[5,6[5.5180.180.70.18
[6,7[6.5200.20.90.2
[7,8[7.560.060.960.06
[8,9]8.540.0410.04



Parameters (Session):
par1 = 100 ; par2 = 5 ; par3 = 1.7 ; par4 = 2 ; par5 = N ; par6 = 0 ;
Parameters (R input):
par1 = 100 ; par2 = 5 ; par3 = 1.7 ; par4 = 2 ; par5 = N ; par6 = 0 ; par7 = ; par8 = ;
R code (references can be found in the software module):
par8 <- ''
par7 <- ''
par6 <- '0'
par5 <- 'N'
par4 <- '2'
par3 <- '1'
par2 <- '0'
par1 <- '100'
library(MASS)
library(msm)
par1 <- as.numeric(par1)
if (par1 > 10000) par1=10000 #impose restriction on number of random values
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par6 == '0') par6 = 'Sturges' else {
par6 <- as.numeric(par6)
if (par6 > 50) par6 = 50 #impose restriction on the number of bins
}
if (par7 == '') par7 <- -Inf else par7 <- as.numeric(par7)
if (par8 == '') par8 <- Inf else par8 <- as.numeric(par8)
x <- rtnorm(par1,par2,par3,par7,par8)
x <- as.ts(x) #otherwise the fitdistr function does not work properly
if ((par7 == -Inf) & (par8 == Inf)) (r <- fitdistr(x,'normal'))
bitmap(file='test1.png')
myhist<-hist(x,col=par4,breaks=par6,main=main,ylab=ylab,xlab=xlab,freq=F)
if ((par7 == -Inf) & (par8 == Inf)) {
curve(1/(r$estimate[2]*sqrt(2*pi))*exp(-1/2*((x-r$estimate[1])/r$estimate[2])^2),min(x),max(x),add=T)
}
dev.off()
load(file='createtable')
if (par5 == 'Y')
{
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Index',1,TRUE)
a<-table.element(a,'Value',1,TRUE)
a<-table.row.end(a)
for (i in 1:par1)
{
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
if ((par7 == -Inf) & (par8 == Inf)) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Parameter',1,TRUE)
a<-table.element(a,'Value',1,TRUE)
a<-table.element(a,'Standard Deviation',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'# simulated values',header=TRUE)
a<-table.element(a,par1)
a<-table.element(a,'-')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'true mean',header=TRUE)
a<-table.element(a,par2)
a<-table.element(a,'-')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'true standard deviation',header=TRUE)
a<-table.element(a,par3)
a<-table.element(a,'-')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,r$estimate[1])
a<-table.element(a,r$sd[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation',header=TRUE)
a<-table.element(a,r$estimate[2])
a<-table.element(a,r$sd[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('histogram.htm','Frequency Table (Histogram)',''),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bins',header=TRUE)
a<-table.element(a,'Midpoint',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.element(a,'Cumul. Rel. Freq.',header=TRUE)
a<-table.element(a,'Density',header=TRUE)
a<-table.row.end(a)
crf <- 0
mynumrows <- (length(myhist$breaks)-1)
for (i in 1:mynumrows) {
a<-table.row.start(a)
dum <- paste('[',myhist$breaks[i],sep='')
dum <- paste(dum,myhist$breaks[i+1],sep=',')
if (i==mynumrows)
dum <- paste(dum,']',sep='')
else
dum <- paste(dum,'[',sep='')
a<-table.element(a,dum,header=TRUE)
a<-table.element(a,myhist$mids[i])
a<-table.element(a,myhist$counts[i])
rf <- myhist$counts[i]/par1
crf <- crf + rf
a<-table.element(a,round(rf,6))
a<-table.element(a,round(crf,6))
a<-table.element(a,round(myhist$density[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable3.tab')