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Description of Statistical Computation

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, 07 Dec 2016 16:01:46 +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/2016/Dec/07/t1481122923awx2dqqsfkaw60b.htm/, Retrieved Fri, 17 May 2024 14:20:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298183, Retrieved Fri, 17 May 2024 14:20:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Normal Distribution] [] [2016-12-07 15:01:46] [219800a2f11ddd28e3280d87dbde8c8d] [Current]
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Dataset

Tables (Output of Computation)





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=298183&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=298183&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298183&T=0

As an alternative you can also use a QR Code:  
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






IndexValue
197.506459791805
299.2144407136964
3101.067696100805
498.2348224141631
598.9975447862145
699.2780007084805
7100.08914860316
8101.076929131319
9102.443690611446
10100.191278312203
11101.318194172542
1298.1626968339467
1399.9666228801592
1499.9642256251639
15101.22954782301
16100.404397256118
17100.319051865209
18100.676818884696

\begin{tabular}{lllllllll}
\hline
Index & Value \tabularnewline
1 & 97.506459791805 \tabularnewline
2 & 99.2144407136964 \tabularnewline
3 & 101.067696100805 \tabularnewline
4 & 98.2348224141631 \tabularnewline
5 & 98.9975447862145 \tabularnewline
6 & 99.2780007084805 \tabularnewline
7 & 100.08914860316 \tabularnewline
8 & 101.076929131319 \tabularnewline
9 & 102.443690611446 \tabularnewline
10 & 100.191278312203 \tabularnewline
11 & 101.318194172542 \tabularnewline
12 & 98.1626968339467 \tabularnewline
13 & 99.9666228801592 \tabularnewline
14 & 99.9642256251639 \tabularnewline
15 & 101.22954782301 \tabularnewline
16 & 100.404397256118 \tabularnewline
17 & 100.319051865209 \tabularnewline
18 & 100.676818884696 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298183&T=1

[TABLE]
[ROW][C]Index[/C][C]Value[/C][/ROW]
[ROW][C]1[/C][C]97.506459791805[/C][/ROW]
[ROW][C]2[/C][C]99.2144407136964[/C][/ROW]
[ROW][C]3[/C][C]101.067696100805[/C][/ROW]
[ROW][C]4[/C][C]98.2348224141631[/C][/ROW]
[ROW][C]5[/C][C]98.9975447862145[/C][/ROW]
[ROW][C]6[/C][C]99.2780007084805[/C][/ROW]
[ROW][C]7[/C][C]100.08914860316[/C][/ROW]
[ROW][C]8[/C][C]101.076929131319[/C][/ROW]
[ROW][C]9[/C][C]102.443690611446[/C][/ROW]
[ROW][C]10[/C][C]100.191278312203[/C][/ROW]
[ROW][C]11[/C][C]101.318194172542[/C][/ROW]
[ROW][C]12[/C][C]98.1626968339467[/C][/ROW]
[ROW][C]13[/C][C]99.9666228801592[/C][/ROW]
[ROW][C]14[/C][C]99.9642256251639[/C][/ROW]
[ROW][C]15[/C][C]101.22954782301[/C][/ROW]
[ROW][C]16[/C][C]100.404397256118[/C][/ROW]
[ROW][C]17[/C][C]100.319051865209[/C][/ROW]
[ROW][C]18[/C][C]100.676818884696[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298183&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298183&T=1

As an alternative you can also use a QR Code:  
QR Code


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

IndexValue
197.506459791805
299.2144407136964
3101.067696100805
498.2348224141631
598.9975447862145
699.2780007084805
7100.08914860316
8101.076929131319
9102.443690611446
10100.191278312203
11101.318194172542
1298.1626968339467
1399.9666228801592
1499.9642256251639
15101.22954782301
16100.404397256118
17100.319051865209
18100.676818884696






ParameterValueStandard Deviation
# simulated values18-
true mean100.189-
true standard deviation1.34-
mean100.0078648063410.289436498200989
standard deviation1.227975063604840.204662510600807

\begin{tabular}{lllllllll}
\hline
Parameter & Value & Standard Deviation \tabularnewline
# simulated values & 18 & - \tabularnewline
true mean & 100.189 & - \tabularnewline
true standard deviation & 1.34 & - \tabularnewline
mean & 100.007864806341 & 0.289436498200989 \tabularnewline
standard deviation & 1.22797506360484 & 0.204662510600807 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298183&T=2

[TABLE]
[ROW][C]Parameter[/C][C]Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]# simulated values[/C][C]18[/C][C]-[/C][/ROW]
[ROW][C]true mean[/C][C]100.189[/C][C]-[/C][/ROW]
[ROW][C]true standard deviation[/C][C]1.34[/C][C]-[/C][/ROW]
[ROW][C]mean[/C][C]100.007864806341[/C][C]0.289436498200989[/C][/ROW]
[ROW][C]standard deviation[/C][C]1.22797506360484[/C][C]0.204662510600807[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298183&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298183&T=2

As an alternative you can also use a QR Code:  
QR Code


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

ParameterValueStandard Deviation
# simulated values18-
true mean100.189-
true standard deviation1.34-
mean100.0078648063410.289436498200989
standard deviation1.227975063604840.204662510600807






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[97,98[97.510.0555560.0555560.055556
[98,99[98.530.1666670.2222220.166667
[99,100[99.540.2222220.4444440.222222
[100,101[100.550.2777780.7222220.277778
[101,102[101.540.2222220.9444440.222222
[102,103]102.510.05555610.055556

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[97,98[ & 97.5 & 1 & 0.055556 & 0.055556 & 0.055556 \tabularnewline
[98,99[ & 98.5 & 3 & 0.166667 & 0.222222 & 0.166667 \tabularnewline
[99,100[ & 99.5 & 4 & 0.222222 & 0.444444 & 0.222222 \tabularnewline
[100,101[ & 100.5 & 5 & 0.277778 & 0.722222 & 0.277778 \tabularnewline
[101,102[ & 101.5 & 4 & 0.222222 & 0.944444 & 0.222222 \tabularnewline
[102,103] & 102.5 & 1 & 0.055556 & 1 & 0.055556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298183&T=3

[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][97,98[[/C][C]97.5[/C][C]1[/C][C]0.055556[/C][C]0.055556[/C][C]0.055556[/C][/ROW]
[ROW][C][98,99[[/C][C]98.5[/C][C]3[/C][C]0.166667[/C][C]0.222222[/C][C]0.166667[/C][/ROW]
[ROW][C][99,100[[/C][C]99.5[/C][C]4[/C][C]0.222222[/C][C]0.444444[/C][C]0.222222[/C][/ROW]
[ROW][C][100,101[[/C][C]100.5[/C][C]5[/C][C]0.277778[/C][C]0.722222[/C][C]0.277778[/C][/ROW]
[ROW][C][101,102[[/C][C]101.5[/C][C]4[/C][C]0.222222[/C][C]0.944444[/C][C]0.222222[/C][/ROW]
[ROW][C][102,103][/C][C]102.5[/C][C]1[/C][C]0.055556[/C][C]1[/C][C]0.055556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298183&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298183&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[97,98[97.510.0555560.0555560.055556
[98,99[98.530.1666670.2222220.166667
[99,100[99.540.2222220.4444440.222222
[100,101[100.550.2777780.7222220.277778
[101,102[101.540.2222220.9444440.222222
[102,103]102.510.05555610.055556


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 18 ; par2 = 100.18 ; par3 = 1.34 ; par4 = 8 ; par5 = y ; par6 = 0 ; par7 = 100 ;
Parameters (R input):
par1 = 18 ; par2 = 100.189 ; par3 = 1.34 ; par4 = 8 ; par5 = Y ; par6 = 0 ; par7 = ; par8 = ;
R code (references can be found in the software module):
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')