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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, 05 Oct 2016 14:36:35 +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/t1475671080413pwhn5pupwt8p.htm/, Retrieved Sun, 05 May 2024 09:21:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296558, Retrieved Sun, 05 May 2024 09:21:52 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Binomial Probabilities] [bernoulli ] [2016-10-05 11:56:28] [2de65f32e81449e9ab36f33175b2d919]
- RMP     [Random Number Generator - Normal Distribution] [random number 1000] [2016-10-05 12:36:35] [94ac3c9a028ddd47e8862e80eac9f626] [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 time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296558&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=296558&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296558&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 time4 seconds
R ServerBig Analytics Cloud Computing Center






ParameterValueStandard Deviation
# simulated values1000-
true mean5-
true standard deviation2.5-
mean5.028308586603260.0792132141457182
standard deviation2.504941774831390.0560122008820195

\begin{tabular}{lllllllll}
\hline
Parameter & Value & Standard Deviation \tabularnewline
# simulated values & 1000 & - \tabularnewline
true mean & 5 & - \tabularnewline
true standard deviation & 2.5 & - \tabularnewline
mean & 5.02830858660326 & 0.0792132141457182 \tabularnewline
standard deviation & 2.50494177483139 & 0.0560122008820195 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296558&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]# simulated values[/C][C]1000[/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]5.02830858660326[/C][C]0.0792132141457182[/C][/ROW]
[ROW][C]standard deviation[/C][C]2.50494177483139[/C][C]0.0560122008820195[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296558&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296558&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:

ParameterValueStandard Deviation
# simulated values1000-
true mean5-
true standard deviation2.5-
mean5.028308586603260.0792132141457182
standard deviation2.504941774831390.0560122008820195






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[-4,-2[-330.0030.0030.0015
[-2,0[-1250.0250.0280.0125
[0,2[1830.0830.1110.0415
[2,4[32340.2340.3450.117
[4,6[52990.2990.6440.1495
[6,8[72380.2380.8820.119
[8,10[9930.0930.9750.0465
[10,12[11230.0230.9980.0115
[12,14]1320.00210.001

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[-4,-2[ & -3 & 3 & 0.003 & 0.003 & 0.0015 \tabularnewline
[-2,0[ & -1 & 25 & 0.025 & 0.028 & 0.0125 \tabularnewline
[0,2[ & 1 & 83 & 0.083 & 0.111 & 0.0415 \tabularnewline
[2,4[ & 3 & 234 & 0.234 & 0.345 & 0.117 \tabularnewline
[4,6[ & 5 & 299 & 0.299 & 0.644 & 0.1495 \tabularnewline
[6,8[ & 7 & 238 & 0.238 & 0.882 & 0.119 \tabularnewline
[8,10[ & 9 & 93 & 0.093 & 0.975 & 0.0465 \tabularnewline
[10,12[ & 11 & 23 & 0.023 & 0.998 & 0.0115 \tabularnewline
[12,14] & 13 & 2 & 0.002 & 1 & 0.001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296558&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][-4,-2[[/C][C]-3[/C][C]3[/C][C]0.003[/C][C]0.003[/C][C]0.0015[/C][/ROW]
[ROW][C][-2,0[[/C][C]-1[/C][C]25[/C][C]0.025[/C][C]0.028[/C][C]0.0125[/C][/ROW]
[ROW][C][0,2[[/C][C]1[/C][C]83[/C][C]0.083[/C][C]0.111[/C][C]0.0415[/C][/ROW]
[ROW][C][2,4[[/C][C]3[/C][C]234[/C][C]0.234[/C][C]0.345[/C][C]0.117[/C][/ROW]
[ROW][C][4,6[[/C][C]5[/C][C]299[/C][C]0.299[/C][C]0.644[/C][C]0.1495[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]238[/C][C]0.238[/C][C]0.882[/C][C]0.119[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]93[/C][C]0.093[/C][C]0.975[/C][C]0.0465[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]23[/C][C]0.023[/C][C]0.998[/C][C]0.0115[/C][/ROW]
[ROW][C][12,14][/C][C]13[/C][C]2[/C][C]0.002[/C][C]1[/C][C]0.001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296558&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296558&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
[-4,-2[-330.0030.0030.0015
[-2,0[-1250.0250.0280.0125
[0,2[1830.0830.1110.0415
[2,4[32340.2340.3450.117
[4,6[52990.2990.6440.1495
[6,8[72380.2380.8820.119
[8,10[9930.0930.9750.0465
[10,12[11230.0230.9980.0115
[12,14]1320.00210.001


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1000 ; par2 = 5 ; par3 = 2.5 ; par4 = 2 ; par5 = N ; par6 = 0 ;
Parameters (R input):
par1 = 1000 ; par2 = 5 ; par3 = 2.5 ; 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 <- '2.5'
par2 <- '5'
par1 <- '100'
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')