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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 20 Nov 2016 11:58:51 +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/2016/Nov/20/t1479643157zumgphjqq3l8hes.htm/, Retrieved Mon, 06 May 2024 09:57:25 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 06 May 2024 09:57:25 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1859000
1869000
1858000
1859000
1878000
1876000
1869000
1888000
1874000
1872000
1885000
1878000
1868000
1879000
1873000
1863000
1880000
1886000
1880000
1901000
1900000
1901000
1922000
1917000
1918000
1927000
1926000
1926000
1945000
1940000
1934000
1945000
1940000
1935000
1945000
1937000
1932000
1947000
1943000
1941000
1951000
1951000
1944000
1962000
1968000
1969000
1972000
1954000
1959000
1971000
1963000
1964000
1986000
1972000
1975000
1993000
1983000
1997000
2000000
1995000
1991000
2001000
1993000
1995000
2010000
2005000
2008000
2028000
2015000
2023000
2031000
2027000

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11872083.333333339857.6996517566130000
21889166.6666666718891.235742502159000
31934833.333333338891.6031209566527000
41952833.3333333312554.125242567140000
51979833.3333333314408.541237962341000
62010583.3333333314234.773896300140000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1872083.33333333 & 9857.69965175661 & 30000 \tabularnewline
2 & 1889166.66666667 & 18891.2357425021 & 59000 \tabularnewline
3 & 1934833.33333333 & 8891.60312095665 & 27000 \tabularnewline
4 & 1952833.33333333 & 12554.1252425671 & 40000 \tabularnewline
5 & 1979833.33333333 & 14408.5412379623 & 41000 \tabularnewline
6 & 2010583.33333333 & 14234.7738963001 & 40000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]1872083.33333333[/C][C]9857.69965175661[/C][C]30000[/C][/ROW]
[ROW][C]2[/C][C]1889166.66666667[/C][C]18891.2357425021[/C][C]59000[/C][/ROW]
[ROW][C]3[/C][C]1934833.33333333[/C][C]8891.60312095665[/C][C]27000[/C][/ROW]
[ROW][C]4[/C][C]1952833.33333333[/C][C]12554.1252425671[/C][C]40000[/C][/ROW]
[ROW][C]5[/C][C]1979833.33333333[/C][C]14408.5412379623[/C][C]41000[/C][/ROW]
[ROW][C]6[/C][C]2010583.33333333[/C][C]14234.7738963001[/C][C]40000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

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

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11872083.333333339857.6996517566130000
21889166.6666666718891.235742502159000
31934833.333333338891.6031209566527000
41952833.3333333312554.125242567140000
51979833.3333333314408.541237962341000
62010583.3333333314234.773896300140000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3020.60602616578
beta0.0052163075836288
S.D.0.0340353948795694
T-STAT0.153261262344279
p-value0.885613099797364

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3020.60602616578 \tabularnewline
beta & 0.0052163075836288 \tabularnewline
S.D. & 0.0340353948795694 \tabularnewline
T-STAT & 0.153261262344279 \tabularnewline
p-value & 0.885613099797364 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3020.60602616578[/C][/ROW]
[ROW][C]beta[/C][C]0.0052163075836288[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0340353948795694[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.153261262344279[/C][/ROW]
[ROW][C]p-value[/C][C]0.885613099797364[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

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

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3020.60602616578
beta0.0052163075836288
S.D.0.0340353948795694
T-STAT0.153261262344279
p-value0.885613099797364






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-13.9601120200515
beta1.61710240695011
S.D.4.97833759714689
T-STAT0.324827791485432
p-value0.761590155800797
Lambda-0.617102406950114

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -13.9601120200515 \tabularnewline
beta & 1.61710240695011 \tabularnewline
S.D. & 4.97833759714689 \tabularnewline
T-STAT & 0.324827791485432 \tabularnewline
p-value & 0.761590155800797 \tabularnewline
Lambda & -0.617102406950114 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-13.9601120200515[/C][/ROW]
[ROW][C]beta[/C][C]1.61710240695011[/C][/ROW]
[ROW][C]S.D.[/C][C]4.97833759714689[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.324827791485432[/C][/ROW]
[ROW][C]p-value[/C][C]0.761590155800797[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.617102406950114[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-13.9601120200515
beta1.61710240695011
S.D.4.97833759714689
T-STAT0.324827791485432
p-value0.761590155800797
Lambda-0.617102406950114


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
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,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')