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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 computationWed, 05 Oct 2016 14:34:58 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Oct/05/t1475670944r8z3aryxkfmqgac.htm/, Retrieved Sun, 05 May 2024 14:39:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296557, Retrieved Sun, 05 May 2024 14:39:41 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Normal Distribution] [Random] [2016-10-05 12:34:58] [4c05fa0998bf98e29c2e453b139976f4] [Current]
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Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296557&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=296557&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296557&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







ParameterValueStandard Deviation
# simulated values100-
true mean5-
true standard deviation2.5-
mean4.504101552788810.248141209472673
standard deviation2.481412094726730.175462331909959

\begin{tabular}{lllllllll}
\hline
Parameter & Value & Standard Deviation \tabularnewline
# simulated values & 100 & - \tabularnewline
true mean & 5 & - \tabularnewline
true standard deviation & 2.5 & - \tabularnewline
mean & 4.50410155278881 & 0.248141209472673 \tabularnewline
standard deviation & 2.48141209472673 & 0.175462331909959 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296557&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]2.5[/C][C]-[/C][/ROW]
[ROW][C]mean[/C][C]4.50410155278881[/C][C]0.248141209472673[/C][/ROW]
[ROW][C]standard deviation[/C][C]2.48141209472673[/C][C]0.175462331909959[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296557&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296557&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 deviation2.5-
mean4.504101552788810.248141209472673
standard deviation2.481412094726730.175462331909959







Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[-2,0[-130.030.030.015
[0,2[1140.140.170.07
[2,4[3240.240.410.12
[4,6[5360.360.770.18
[6,8[7130.130.90.065
[8,10[980.080.980.04
[10,12]1120.0210.01

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[-2,0[ & -1 & 3 & 0.03 & 0.03 & 0.015 \tabularnewline
[0,2[ & 1 & 14 & 0.14 & 0.17 & 0.07 \tabularnewline
[2,4[ & 3 & 24 & 0.24 & 0.41 & 0.12 \tabularnewline
[4,6[ & 5 & 36 & 0.36 & 0.77 & 0.18 \tabularnewline
[6,8[ & 7 & 13 & 0.13 & 0.9 & 0.065 \tabularnewline
[8,10[ & 9 & 8 & 0.08 & 0.98 & 0.04 \tabularnewline
[10,12] & 11 & 2 & 0.02 & 1 & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296557&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][-2,0[[/C][C]-1[/C][C]3[/C][C]0.03[/C][C]0.03[/C][C]0.015[/C][/ROW]
[ROW][C][0,2[[/C][C]1[/C][C]14[/C][C]0.14[/C][C]0.17[/C][C]0.07[/C][/ROW]
[ROW][C][2,4[[/C][C]3[/C][C]24[/C][C]0.24[/C][C]0.41[/C][C]0.12[/C][/ROW]
[ROW][C][4,6[[/C][C]5[/C][C]36[/C][C]0.36[/C][C]0.77[/C][C]0.18[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]13[/C][C]0.13[/C][C]0.9[/C][C]0.065[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]8[/C][C]0.08[/C][C]0.98[/C][C]0.04[/C][/ROW]
[ROW][C][10,12][/C][C]11[/C][C]2[/C][C]0.02[/C][C]1[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296557&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296557&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
[-2,0[-130.030.030.015
[0,2[1140.140.170.07
[2,4[3240.240.410.12
[4,6[5360.360.770.18
[6,8[7130.130.90.065
[8,10[980.080.980.04
[10,12]1120.0210.01



Parameters (Session):
par1 = 100 ; par2 = 5 ; par3 = 2.5 ; par4 = 2 ; par5 = N ; par6 = 0 ;
Parameters (R input):
par1 = 100 ; par2 = 5 ; par3 = 2.5 ; par4 = 2 ; par5 = N ; par6 = 0 ; par7 = ; par8 = ;
R code (references can be found in the software module):
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$sd[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Frequency Table (Histogram)',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bins',header=TRUE)
a<-table.element(a,'Midpoint',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.element(a,'Cumul. Rel. Freq.',header=TRUE)
a<-table.element(a,'Density',header=TRUE)
a<-table.row.end(a)
crf <- 0
mynumrows <- (length(myhist$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')