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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, 14 Dec 2016 19:12:39 +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/14/t14817391913nzr76hdqdnib8i.htm/, Retrieved Sat, 04 May 2024 00:25:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299674, Retrieved Sat, 04 May 2024 00:25:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83

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] [] [2016-12-14 18:12:39] [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=299674&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=299674&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299674&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
198.4330792134306
2100.555882180465
3100.479978002872
498.1077082978479
5102.695398149867
6100.180745547072
799.5481782219798
8100.925873279347
999.6228759925445
10102.146368998076
1197.8541402283234
12100.777240341717
13101.292231245834
14101.633646668868
1598.6158656363695
1699.5575055212066
17101.322105260483
18100.293857767503

\begin{tabular}{lllllllll}
\hline
Index & Value \tabularnewline
1 & 98.4330792134306 \tabularnewline
2 & 100.555882180465 \tabularnewline
3 & 100.479978002872 \tabularnewline
4 & 98.1077082978479 \tabularnewline
5 & 102.695398149867 \tabularnewline
6 & 100.180745547072 \tabularnewline
7 & 99.5481782219798 \tabularnewline
8 & 100.925873279347 \tabularnewline
9 & 99.6228759925445 \tabularnewline
10 & 102.146368998076 \tabularnewline
11 & 97.8541402283234 \tabularnewline
12 & 100.777240341717 \tabularnewline
13 & 101.292231245834 \tabularnewline
14 & 101.633646668868 \tabularnewline
15 & 98.6158656363695 \tabularnewline
16 & 99.5575055212066 \tabularnewline
17 & 101.322105260483 \tabularnewline
18 & 100.293857767503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299674&T=1

[TABLE]
[ROW][C]Index[/C][C]Value[/C][/ROW]
[ROW][C]1[/C][C]98.4330792134306[/C][/ROW]
[ROW][C]2[/C][C]100.555882180465[/C][/ROW]
[ROW][C]3[/C][C]100.479978002872[/C][/ROW]
[ROW][C]4[/C][C]98.1077082978479[/C][/ROW]
[ROW][C]5[/C][C]102.695398149867[/C][/ROW]
[ROW][C]6[/C][C]100.180745547072[/C][/ROW]
[ROW][C]7[/C][C]99.5481782219798[/C][/ROW]
[ROW][C]8[/C][C]100.925873279347[/C][/ROW]
[ROW][C]9[/C][C]99.6228759925445[/C][/ROW]
[ROW][C]10[/C][C]102.146368998076[/C][/ROW]
[ROW][C]11[/C][C]97.8541402283234[/C][/ROW]
[ROW][C]12[/C][C]100.777240341717[/C][/ROW]
[ROW][C]13[/C][C]101.292231245834[/C][/ROW]
[ROW][C]14[/C][C]101.633646668868[/C][/ROW]
[ROW][C]15[/C][C]98.6158656363695[/C][/ROW]
[ROW][C]16[/C][C]99.5575055212066[/C][/ROW]
[ROW][C]17[/C][C]101.322105260483[/C][/ROW]
[ROW][C]18[/C][C]100.293857767503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299674&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299674&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
198.4330792134306
2100.555882180465
3100.479978002872
498.1077082978479
5102.695398149867
6100.180745547072
799.5481782219798
8100.925873279347
999.6228759925445
10102.146368998076
1197.8541402283234
12100.777240341717
13101.292231245834
14101.633646668868
1598.6158656363695
1699.5575055212066
17101.322105260483
18100.293857767503






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[99.530.1666670.3888890.166667
[100,101[100.560.3333330.7222220.333333
[101,102[101.530.1666670.8888890.166667
[102,103]102.520.11111110.111111

\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 & 3 & 0.166667 & 0.388889 & 0.166667 \tabularnewline
[100,101[ & 100.5 & 6 & 0.333333 & 0.722222 & 0.333333 \tabularnewline
[101,102[ & 101.5 & 3 & 0.166667 & 0.888889 & 0.166667 \tabularnewline
[102,103] & 102.5 & 2 & 0.111111 & 1 & 0.111111 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299674&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][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]3[/C][C]0.166667[/C][C]0.388889[/C][C]0.166667[/C][/ROW]
[ROW][C][100,101[[/C][C]100.5[/C][C]6[/C][C]0.333333[/C][C]0.722222[/C][C]0.333333[/C][/ROW]
[ROW][C][101,102[[/C][C]101.5[/C][C]3[/C][C]0.166667[/C][C]0.888889[/C][C]0.166667[/C][/ROW]
[ROW][C][102,103][/C][C]102.5[/C][C]2[/C][C]0.111111[/C][C]1[/C][C]0.111111[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299674&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299674&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:

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[99.530.1666670.3888890.166667
[100,101[100.560.3333330.7222220.333333
[101,102[101.530.1666670.8888890.166667
[102,103]102.520.11111110.111111


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 = 97 ; par8 = 104 ;
Parameters (R input):
par1 = 18 ; par2 = 100.18 ; par3 = 1.34 ; par4 = 8 ; par5 = Y ; par6 = 0 ; par7 = 97 ; par8 = 104 ;
R code (references can be found in the software module):
par8 <- '104'
par7 <- '97'
par6 <- '0'
par5 <- 'Y'
par4 <- '8'
par3 <- '1.34'
par2 <- '100.18'
par1 <- '18'
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')