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Author's title

Author*Unverified author*
R Software Modulerwasp_rngnorm.wasp
Title produced by softwareRandom Number Generator - Normal Distribution
Date of computationWed, 15 Dec 2021 00:37:05 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2021/Dec/15/t1639525048evgxgkltqfptbfv.htm/, Retrieved Wed, 15 May 2024 09:52:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319577, Retrieved Wed, 15 May 2024 09:52:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact57
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Normal Distribution] [] [2021-12-14 23:37:05] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319577&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319577&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319577&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[18,20[19220.0366670.0366670.018333
[20,22[21380.0633330.10.031667
[22,24[23560.0933330.1933330.046667
[24,26[25750.1250.3183330.0625
[26,28[27930.1550.4733330.0775
[28,30[29760.1266670.60.063333
[30,32[31890.1483330.7483330.074167
[32,34[33600.10.8483330.05
[34,36[35410.0683330.9166670.034167
[36,38[37290.0483330.9650.024167
[38,40[39150.0250.990.0125
[40,42]4160.0110.005

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[18,20[ & 19 & 22 & 0.036667 & 0.036667 & 0.018333 \tabularnewline
[20,22[ & 21 & 38 & 0.063333 & 0.1 & 0.031667 \tabularnewline
[22,24[ & 23 & 56 & 0.093333 & 0.193333 & 0.046667 \tabularnewline
[24,26[ & 25 & 75 & 0.125 & 0.318333 & 0.0625 \tabularnewline
[26,28[ & 27 & 93 & 0.155 & 0.473333 & 0.0775 \tabularnewline
[28,30[ & 29 & 76 & 0.126667 & 0.6 & 0.063333 \tabularnewline
[30,32[ & 31 & 89 & 0.148333 & 0.748333 & 0.074167 \tabularnewline
[32,34[ & 33 & 60 & 0.1 & 0.848333 & 0.05 \tabularnewline
[34,36[ & 35 & 41 & 0.068333 & 0.916667 & 0.034167 \tabularnewline
[36,38[ & 37 & 29 & 0.048333 & 0.965 & 0.024167 \tabularnewline
[38,40[ & 39 & 15 & 0.025 & 0.99 & 0.0125 \tabularnewline
[40,42] & 41 & 6 & 0.01 & 1 & 0.005 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319577&T=1

[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][18,20[[/C][C]19[/C][C]22[/C][C]0.036667[/C][C]0.036667[/C][C]0.018333[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]38[/C][C]0.063333[/C][C]0.1[/C][C]0.031667[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]56[/C][C]0.093333[/C][C]0.193333[/C][C]0.046667[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]75[/C][C]0.125[/C][C]0.318333[/C][C]0.0625[/C][/ROW]
[ROW][C][26,28[[/C][C]27[/C][C]93[/C][C]0.155[/C][C]0.473333[/C][C]0.0775[/C][/ROW]
[ROW][C][28,30[[/C][C]29[/C][C]76[/C][C]0.126667[/C][C]0.6[/C][C]0.063333[/C][/ROW]
[ROW][C][30,32[[/C][C]31[/C][C]89[/C][C]0.148333[/C][C]0.748333[/C][C]0.074167[/C][/ROW]
[ROW][C][32,34[[/C][C]33[/C][C]60[/C][C]0.1[/C][C]0.848333[/C][C]0.05[/C][/ROW]
[ROW][C][34,36[[/C][C]35[/C][C]41[/C][C]0.068333[/C][C]0.916667[/C][C]0.034167[/C][/ROW]
[ROW][C][36,38[[/C][C]37[/C][C]29[/C][C]0.048333[/C][C]0.965[/C][C]0.024167[/C][/ROW]
[ROW][C][38,40[[/C][C]39[/C][C]15[/C][C]0.025[/C][C]0.99[/C][C]0.0125[/C][/ROW]
[ROW][C][40,42][/C][C]41[/C][C]6[/C][C]0.01[/C][C]1[/C][C]0.005[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319577&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319577&T=1

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
[18,20[19220.0366670.0366670.018333
[20,22[21380.0633330.10.031667
[22,24[23560.0933330.1933330.046667
[24,26[25750.1250.3183330.0625
[26,28[27930.1550.4733330.0775
[28,30[29760.1266670.60.063333
[30,32[31890.1483330.7483330.074167
[32,34[33600.10.8483330.05
[34,36[35410.0683330.9166670.034167
[36,38[37290.0483330.9650.024167
[38,40[39150.0250.990.0125
[40,42]4160.0110.005



Parameters (Session):
par1 = 600 ; par2 = 28 ; par3 = 5.4 ; par4 = 2 ; par5 = N ; par6 = 0 ; par7 = 19 ; par8 = 41 ;
Parameters (R input):
par1 = 600 ; par2 = 28 ; par3 = 5.4 ; par4 = 2 ; par5 = N ; par6 = 0 ; par7 = 19 ; par8 = 41 ;
R code (references can be found in the software module):
par8 <- '41'
par7 <- '19'
par6 <- '0'
par5 <- 'N'
par4 <- '2'
par3 <- '5.4'
par2 <- '28'
par1 <- '600'
library(MASS)
library(msm)
par1 <- sub(',','.',par1)
par2 <- sub(',','.',par2)
par3 <- sub(',','.',par3)
par4 <- sub(',','.',par4)
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$sd[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Frequency Table (Histogram)',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bins',header=TRUE)
a<-table.element(a,'Midpoint',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.element(a,'Cumul. Rel. Freq.',header=TRUE)
a<-table.element(a,'Density',header=TRUE)
a<-table.row.end(a)
crf <- 0
mynumrows <- (length(myhist$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')