FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 25 Dec 2016 19:53:28 +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/Dec/25/t14826956417hcz1jw2rtvjswu.htm/, Retrieved Sun, 05 May 2024 21:27:30 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sun, 05 May 2024 21:27:30 +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 
89,8
101,7
92,7
116,2
134,2
153,3
129,7
137,6
158,8
197,1
171,1
184,4
216,6
219,3
184,2
205,3
216,8
219,4
172,1
165,3
178,9
163
116,2
121,8
124,1
125,7
81,8
94,8
121,5
136,3
109,6
120,7
154,1
154,4
153,3
157,3
192,1
223
220,6
221,7
239,2
251,2
238,3
240,6
250,3
256,7
239,2
189,9
155,9
138,4
124,7
119,4
116
124,9
123,4
124,4
135,5
143,6
130,6
116,6
118,2
116,1
106
94,9
97,1
96,8
93,7
91
105,7
112,9
112,1
112,9
127
136,5
130,9
136,3

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
1138.88333333333335.227180449537107.3
2181.57536.2378537644622103.2
3127.824.562425109763275.5
4230.23333333333321.689894309367166.8
5129.4511.947803145348539.9
6104.7833333333339.671686262049427.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 138.883333333333 & 35.227180449537 & 107.3 \tabularnewline
2 & 181.575 & 36.2378537644622 & 103.2 \tabularnewline
3 & 127.8 & 24.5624251097632 & 75.5 \tabularnewline
4 & 230.233333333333 & 21.6898943093671 & 66.8 \tabularnewline
5 & 129.45 & 11.9478031453485 & 39.9 \tabularnewline
6 & 104.783333333333 & 9.6716862620494 & 27.2 \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]138.883333333333[/C][C]35.227180449537[/C][C]107.3[/C][/ROW]
[ROW][C]2[/C][C]181.575[/C][C]36.2378537644622[/C][C]103.2[/C][/ROW]
[ROW][C]3[/C][C]127.8[/C][C]24.5624251097632[/C][C]75.5[/C][/ROW]
[ROW][C]4[/C][C]230.233333333333[/C][C]21.6898943093671[/C][C]66.8[/C][/ROW]
[ROW][C]5[/C][C]129.45[/C][C]11.9478031453485[/C][C]39.9[/C][/ROW]
[ROW][C]6[/C][C]104.783333333333[/C][C]9.6716862620494[/C][C]27.2[/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
1138.88333333333335.227180449537107.3
2181.57536.2378537644622103.2
3127.824.562425109763275.5
4230.23333333333321.689894309367166.8
5129.4511.947803145348539.9
6104.7833333333339.671686262049427.2






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha9.16868382716814
beta0.0923878934810799
S.D.0.113319655288513
T-STAT0.815285691135039
p-value0.460668810331937

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9.16868382716814 \tabularnewline
beta & 0.0923878934810799 \tabularnewline
S.D. & 0.113319655288513 \tabularnewline
T-STAT & 0.815285691135039 \tabularnewline
p-value & 0.460668810331937 \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]9.16868382716814[/C][/ROW]
[ROW][C]beta[/C][C]0.0923878934810799[/C][/ROW]
[ROW][C]S.D.[/C][C]0.113319655288513[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.815285691135039[/C][/ROW]
[ROW][C]p-value[/C][C]0.460668810331937[/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)
alpha9.16868382716814
beta0.0923878934810799
S.D.0.113319655288513
T-STAT0.815285691135039
p-value0.460668810331937






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.12332428624807
beta1.03271971629177
S.D.0.823117193285371
T-STAT1.25464481208295
p-value0.277916043442276
Lambda-0.0327197162917703

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.12332428624807 \tabularnewline
beta & 1.03271971629177 \tabularnewline
S.D. & 0.823117193285371 \tabularnewline
T-STAT & 1.25464481208295 \tabularnewline
p-value & 0.277916043442276 \tabularnewline
Lambda & -0.0327197162917703 \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]-2.12332428624807[/C][/ROW]
[ROW][C]beta[/C][C]1.03271971629177[/C][/ROW]
[ROW][C]S.D.[/C][C]0.823117193285371[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.25464481208295[/C][/ROW]
[ROW][C]p-value[/C][C]0.277916043442276[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0327197162917703[/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-2.12332428624807
beta1.03271971629177
S.D.0.823117193285371
T-STAT1.25464481208295
p-value0.277916043442276
Lambda-0.0327197162917703


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')