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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 08:04:33 +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/t1451549633rohi7zahd0ypkpe.htm/, Retrieved Thu, 16 May 2024 15:01:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=287225, Retrieved Thu, 16 May 2024 15:01:38 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact171
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Normal Distribution] [] [2015-12-31 08:04:33] [85088361cc0f17e8ae42c599c79c3ce4] [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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287225&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287225&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287225&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'Gertrude Mary Cox' @ cox.wessa.net







ParameterValueStandard Deviation
# simulated values100-
true mean10-
true standard deviation1-
mean9.916421095035870.0928102704500924
standard deviation0.9281027045009240.0656267715990178

\begin{tabular}{lllllllll}
\hline
Parameter & Value & Standard Deviation \tabularnewline
# simulated values & 100 & - \tabularnewline
true mean & 10 & - \tabularnewline
true standard deviation & 1 & - \tabularnewline
mean & 9.91642109503587 & 0.0928102704500924 \tabularnewline
standard deviation & 0.928102704500924 & 0.0656267715990178 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287225&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]10[/C][C]-[/C][/ROW]
[ROW][C]true standard deviation[/C][C]1[/C][C]-[/C][/ROW]
[ROW][C]mean[/C][C]9.91642109503587[/C][C]0.0928102704500924[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.928102704500924[/C][C]0.0656267715990178[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287225&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287225&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 mean10-
true standard deviation1-
mean9.916421095035870.0928102704500924
standard deviation0.9281027045009240.0656267715990178







Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[7.5,8[7.7540.040.040.08
[8,8.5[8.2530.030.070.06
[8.5,9[8.7580.080.150.16
[9,9.5[9.25160.160.310.32
[9.5,10[9.75230.230.540.46
[10,10.5[10.25180.180.720.36
[10.5,11[10.75140.140.860.28
[11,11.5[11.25130.130.990.26
[11.5,12]11.7510.0110.02

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[7.5,8[ & 7.75 & 4 & 0.04 & 0.04 & 0.08 \tabularnewline
[8,8.5[ & 8.25 & 3 & 0.03 & 0.07 & 0.06 \tabularnewline
[8.5,9[ & 8.75 & 8 & 0.08 & 0.15 & 0.16 \tabularnewline
[9,9.5[ & 9.25 & 16 & 0.16 & 0.31 & 0.32 \tabularnewline
[9.5,10[ & 9.75 & 23 & 0.23 & 0.54 & 0.46 \tabularnewline
[10,10.5[ & 10.25 & 18 & 0.18 & 0.72 & 0.36 \tabularnewline
[10.5,11[ & 10.75 & 14 & 0.14 & 0.86 & 0.28 \tabularnewline
[11,11.5[ & 11.25 & 13 & 0.13 & 0.99 & 0.26 \tabularnewline
[11.5,12] & 11.75 & 1 & 0.01 & 1 & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287225&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][7.5,8[[/C][C]7.75[/C][C]4[/C][C]0.04[/C][C]0.04[/C][C]0.08[/C][/ROW]
[ROW][C][8,8.5[[/C][C]8.25[/C][C]3[/C][C]0.03[/C][C]0.07[/C][C]0.06[/C][/ROW]
[ROW][C][8.5,9[[/C][C]8.75[/C][C]8[/C][C]0.08[/C][C]0.15[/C][C]0.16[/C][/ROW]
[ROW][C][9,9.5[[/C][C]9.25[/C][C]16[/C][C]0.16[/C][C]0.31[/C][C]0.32[/C][/ROW]
[ROW][C][9.5,10[[/C][C]9.75[/C][C]23[/C][C]0.23[/C][C]0.54[/C][C]0.46[/C][/ROW]
[ROW][C][10,10.5[[/C][C]10.25[/C][C]18[/C][C]0.18[/C][C]0.72[/C][C]0.36[/C][/ROW]
[ROW][C][10.5,11[[/C][C]10.75[/C][C]14[/C][C]0.14[/C][C]0.86[/C][C]0.28[/C][/ROW]
[ROW][C][11,11.5[[/C][C]11.25[/C][C]13[/C][C]0.13[/C][C]0.99[/C][C]0.26[/C][/ROW]
[ROW][C][11.5,12][/C][C]11.75[/C][C]1[/C][C]0.01[/C][C]1[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287225&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287225&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
[7.5,8[7.7540.040.040.08
[8,8.5[8.2530.030.070.06
[8.5,9[8.7580.080.150.16
[9,9.5[9.25160.160.310.32
[9.5,10[9.75230.230.540.46
[10,10.5[10.25180.180.720.36
[10.5,11[10.75140.140.860.28
[11,11.5[11.25130.130.990.26
[11.5,12]11.7510.0110.02



Parameters (Session):
par1 = 100 ; par2 = 10 ; par3 = 1 ; par4 = 2 ; par5 = N ; par6 = 0 ;
Parameters (R input):
par1 = 100 ; par2 = 10 ; par3 = 1 ; 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 <- '10'
par2 <- '100'
par1 <- '50'
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')