Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_rngnorm.wasp
Title produced by softwareRandom Number Generator - Normal Distribution
Date of computationMon, 23 Mar 2015 23:50:37 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Mar/23/t1427154727ykb5mif7pn7h3gy.htm/, Retrieved Sun, 19 May 2024 15:26:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278412, Retrieved Sun, 19 May 2024 15:26:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Random Number Generator - Normal Distribution] [] [2015-03-23 23:50:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278412&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278412&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278412&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[2,3[2.510.0033330.0033330.003333
[3,4[3.530.010.0133330.01
[4,5[4.5170.0566670.070.056667
[5,6[5.5280.0933330.1633330.093333
[6,7[6.5520.1733330.3366670.173333
[7,8[7.5780.260.5966670.26
[8,9[8.5730.2433330.840.243333
[9,10]9.5480.1610.16

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[2,3[ & 2.5 & 1 & 0.003333 & 0.003333 & 0.003333 \tabularnewline
[3,4[ & 3.5 & 3 & 0.01 & 0.013333 & 0.01 \tabularnewline
[4,5[ & 4.5 & 17 & 0.056667 & 0.07 & 0.056667 \tabularnewline
[5,6[ & 5.5 & 28 & 0.093333 & 0.163333 & 0.093333 \tabularnewline
[6,7[ & 6.5 & 52 & 0.173333 & 0.336667 & 0.173333 \tabularnewline
[7,8[ & 7.5 & 78 & 0.26 & 0.596667 & 0.26 \tabularnewline
[8,9[ & 8.5 & 73 & 0.243333 & 0.84 & 0.243333 \tabularnewline
[9,10] & 9.5 & 48 & 0.16 & 1 & 0.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278412&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][2,3[[/C][C]2.5[/C][C]1[/C][C]0.003333[/C][C]0.003333[/C][C]0.003333[/C][/ROW]
[ROW][C][3,4[[/C][C]3.5[/C][C]3[/C][C]0.01[/C][C]0.013333[/C][C]0.01[/C][/ROW]
[ROW][C][4,5[[/C][C]4.5[/C][C]17[/C][C]0.056667[/C][C]0.07[/C][C]0.056667[/C][/ROW]
[ROW][C][5,6[[/C][C]5.5[/C][C]28[/C][C]0.093333[/C][C]0.163333[/C][C]0.093333[/C][/ROW]
[ROW][C][6,7[[/C][C]6.5[/C][C]52[/C][C]0.173333[/C][C]0.336667[/C][C]0.173333[/C][/ROW]
[ROW][C][7,8[[/C][C]7.5[/C][C]78[/C][C]0.26[/C][C]0.596667[/C][C]0.26[/C][/ROW]
[ROW][C][8,9[[/C][C]8.5[/C][C]73[/C][C]0.243333[/C][C]0.84[/C][C]0.243333[/C][/ROW]
[ROW][C][9,10][/C][C]9.5[/C][C]48[/C][C]0.16[/C][C]1[/C][C]0.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278412&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278412&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
[2,3[2.510.0033330.0033330.003333
[3,4[3.530.010.0133330.01
[4,5[4.5170.0566670.070.056667
[5,6[5.5280.0933330.1633330.093333
[6,7[6.5520.1733330.3366670.173333
[7,8[7.5780.260.5966670.26
[8,9[8.5730.2433330.840.243333
[9,10]9.5480.1610.16



Parameters (Session):
par1 = 300 ; par2 = 8 ; par3 = 1.74 ; par4 = 2 ; par5 = N ; par6 = 0 ; par7 = 0 ; par8 = 10 ;
Parameters (R input):
par1 = 300 ; par2 = 8 ; par3 = 1.74 ; par4 = 2 ; par5 = N ; par6 = 0 ; par7 = 0 ; par8 = 10 ;
R code (references can be found in the software module):
par8 <- '10'
par7 <- '0'
par6 <- '0'
par5 <- 'N'
par4 <- '2'
par3 <- '4.7'
par2 <- '5.5'
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$sd[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('histogram.htm','Frequency Table (Histogram)',''),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bins',header=TRUE)
a<-table.element(a,'Midpoint',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.element(a,'Cumul. Rel. Freq.',header=TRUE)
a<-table.element(a,'Density',header=TRUE)
a<-table.row.end(a)
crf <- 0
mynumrows <- (length(myhist$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')