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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 computationMon, 22 Dec 2008 00:38:48 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/22/t1229931671kwyzhumirj2erqs.htm/, Retrieved Mon, 13 May 2024 13:29:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35938, Retrieved Mon, 13 May 2024 13:29:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact196

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [paper auto 5] [2007-12-01 12:35:10] [22f18fc6a98517db16300404be421f9a]
- RMPD    [Standard Deviation-Mean Plot] [SDM Plot Energieg...] [2008-12-22 07:38:48] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
104
107,9
113,8
113,8
123,1
125,1
137,6
134
140,3
152,1
150,6
167,3
153,2
142
154,4
158,5
180,9
181,3
172,4
192
199,3
215,4
214,3
201,5
190,5
196
215,7
209,4
214,1
237,8
239
237,8
251,5
248,8
215,4
201,2
203,1
214,2
188,9
203
213,3
228,5
228,2
240,9
258,8
248,5
269,2
289,6
323,4
317,2
322,8
340,9
368,2
388,5
441,2
474,3
483,9
417,9
365,9
263
199,4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35938&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35938&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35938&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 time4 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1130.819.626373721463363.3
2180.43333333333324.764796617682073.4
3221.43333333333320.841886728994661
4232.18333333333330.1480237052669100.7
5375.667.8799608935442220.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 130.8 & 19.6263737214633 & 63.3 \tabularnewline
2 & 180.433333333333 & 24.7647966176820 & 73.4 \tabularnewline
3 & 221.433333333333 & 20.8418867289946 & 61 \tabularnewline
4 & 232.183333333333 & 30.1480237052669 & 100.7 \tabularnewline
5 & 375.6 & 67.8799608935442 & 220.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35938&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]130.8[/C][C]19.6263737214633[/C][C]63.3[/C][/ROW]
[ROW][C]2[/C][C]180.433333333333[/C][C]24.7647966176820[/C][C]73.4[/C][/ROW]
[ROW][C]3[/C][C]221.433333333333[/C][C]20.8418867289946[/C][C]61[/C][/ROW]
[ROW][C]4[/C][C]232.183333333333[/C][C]30.1480237052669[/C][C]100.7[/C][/ROW]
[ROW][C]5[/C][C]375.6[/C][C]67.8799608935442[/C][C]220.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35938&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35938&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
1130.819.626373721463363.3
2180.43333333333324.764796617682073.4
3221.43333333333320.841886728994661
4232.18333333333330.1480237052669100.7
5375.667.8799608935442220.9






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-14.3023140653794
beta0.205859627334691
S.D.0.0441869961099060
T-STAT4.65882828564897
p-value0.0186603326721929

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -14.3023140653794 \tabularnewline
beta & 0.205859627334691 \tabularnewline
S.D. & 0.0441869961099060 \tabularnewline
T-STAT & 4.65882828564897 \tabularnewline
p-value & 0.0186603326721929 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35938&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.3023140653794[/C][/ROW]
[ROW][C]beta[/C][C]0.205859627334691[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0441869961099060[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.65882828564897[/C][/ROW]
[ROW][C]p-value[/C][C]0.0186603326721929[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35938&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35938&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)
alpha-14.3023140653794
beta0.205859627334691
S.D.0.0441869961099060
T-STAT4.65882828564897
p-value0.0186603326721929






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.84419490626072
beta1.15730528465811
S.D.0.345518088839922
T-STAT3.34947813743635
p-value0.0440759292342624
Lambda-0.157305284658111

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.84419490626072 \tabularnewline
beta & 1.15730528465811 \tabularnewline
S.D. & 0.345518088839922 \tabularnewline
T-STAT & 3.34947813743635 \tabularnewline
p-value & 0.0440759292342624 \tabularnewline
Lambda & -0.157305284658111 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35938&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.84419490626072[/C][/ROW]
[ROW][C]beta[/C][C]1.15730528465811[/C][/ROW]
[ROW][C]S.D.[/C][C]0.345518088839922[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.34947813743635[/C][/ROW]
[ROW][C]p-value[/C][C]0.0440759292342624[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.157305284658111[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35938&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35938&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-2.84419490626072
beta1.15730528465811
S.D.0.345518088839922
T-STAT3.34947813743635
p-value0.0440759292342624
Lambda-0.157305284658111


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')