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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationMon, 28 Nov 2011 17:31:05 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/28/t1322519550r3qu3m3wmg6rqib.htm/, Retrieved Thu, 28 Mar 2024 11:56:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148057, Retrieved Thu, 28 Mar 2024 11:56:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact69
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [spreidings- en ge...] [2011-11-28 22:31:05] [e2f4ec8028a6c4bb839b6001939b0660] [Current]
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Dataseries X:
2.12
2.13
2.16
2.25
2.26
2.39
2.36
2.26
2.26
2.27
2.29
2.21
2.17
2.17
2.08
2.12
2.18
2.13
2.21
2.06
1.91
1.99
2.04
2.02
2.01
2.1
2.01
2.07
2.05
2.1
2.15
2.15
1.96
2.06
2.07
2.05
2.08
2.14
2.16
2.35
2.31
2.2
2.3
2.22
2.14
2.17
2.12
2.1
2.17
2.29
2.17
2.25
2.13
2.23
2.17
2.24
2.13
2.16
2.1
2.05
2.03
2.24
2.17
2.13
2.21
2.18
2.21
2.23
2.09
2.16
2.13
2.12




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148057&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148057&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148057&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12.246666666666670.08249885214995780.27
22.090.0897471194777050.3
32.0650.05600324665913250.19
42.190833333333330.0876416602196730.27
52.174166666666670.06855102059227440.24
62.158333333333330.06176691278630920.21

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2.24666666666667 & 0.0824988521499578 & 0.27 \tabularnewline
2 & 2.09 & 0.089747119477705 & 0.3 \tabularnewline
3 & 2.065 & 0.0560032466591325 & 0.19 \tabularnewline
4 & 2.19083333333333 & 0.087641660219673 & 0.27 \tabularnewline
5 & 2.17416666666667 & 0.0685510205922744 & 0.24 \tabularnewline
6 & 2.15833333333333 & 0.0617669127863092 & 0.21 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148057&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]2.24666666666667[/C][C]0.0824988521499578[/C][C]0.27[/C][/ROW]
[ROW][C]2[/C][C]2.09[/C][C]0.089747119477705[/C][C]0.3[/C][/ROW]
[ROW][C]3[/C][C]2.065[/C][C]0.0560032466591325[/C][C]0.19[/C][/ROW]
[ROW][C]4[/C][C]2.19083333333333[/C][C]0.087641660219673[/C][C]0.27[/C][/ROW]
[ROW][C]5[/C][C]2.17416666666667[/C][C]0.0685510205922744[/C][C]0.24[/C][/ROW]
[ROW][C]6[/C][C]2.15833333333333[/C][C]0.0617669127863092[/C][C]0.21[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148057&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148057&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12.246666666666670.08249885214995780.27
22.090.0897471194777050.3
32.0650.05600324665913250.19
42.190833333333330.0876416602196730.27
52.174166666666670.06855102059227440.24
62.158333333333330.06176691278630920.21







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.091206992934334
beta0.0768627287807393
S.D.0.0989338409019314
T-STAT0.776910388599284
p-value0.480595041022528

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.091206992934334 \tabularnewline
beta & 0.0768627287807393 \tabularnewline
S.D. & 0.0989338409019314 \tabularnewline
T-STAT & 0.776910388599284 \tabularnewline
p-value & 0.480595041022528 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148057&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.091206992934334[/C][/ROW]
[ROW][C]beta[/C][C]0.0768627287807393[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0989338409019314[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.776910388599284[/C][/ROW]
[ROW][C]p-value[/C][C]0.480595041022528[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148057&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148057&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.091206992934334
beta0.0768627287807393
S.D.0.0989338409019314
T-STAT0.776910388599284
p-value0.480595041022528







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.56123364172866
beta2.53808090044044
S.D.2.89134444373224
T-STAT0.877820318482778
p-value0.429605196581325
Lambda-1.53808090044044

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.56123364172866 \tabularnewline
beta & 2.53808090044044 \tabularnewline
S.D. & 2.89134444373224 \tabularnewline
T-STAT & 0.877820318482778 \tabularnewline
p-value & 0.429605196581325 \tabularnewline
Lambda & -1.53808090044044 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148057&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.56123364172866[/C][/ROW]
[ROW][C]beta[/C][C]2.53808090044044[/C][/ROW]
[ROW][C]S.D.[/C][C]2.89134444373224[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.877820318482778[/C][/ROW]
[ROW][C]p-value[/C][C]0.429605196581325[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.53808090044044[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148057&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148057&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.56123364172866
beta2.53808090044044
S.D.2.89134444373224
T-STAT0.877820318482778
p-value0.429605196581325
Lambda-1.53808090044044



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')