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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 08 Dec 2013 15:50:01 -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/2013/Dec/08/t1386535929oxx91dreualhzza.htm/, Retrieved Fri, 29 Mar 2024 08:30:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231522, Retrieved Fri, 29 Mar 2024 08:30:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact68
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2013-12-08 20:50:01] [1177af5e7ddeef06deae586abecaeb9d] [Current]
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Dataseries X:
15.13
15.25
15.33
15.36
15.40
15.40
15.41
15.47
15.54
15.55
15.59
15.65
15.75
15.86
15.89
15.94
15.93
15.95
15.99
15.99
16.06
16.08
16.07
16.11
16.15
16.18
16.30
16.42
16.49
16.50
16.58
16.64
16.66
16.81
16.91
16.92
16.95
17.11
17.16
17.16
17.27
17.34
17.39
17.43
17.45
17.50
17.56
17.65
17.62
17.70
17.72
17.71
17.74
17.75
17.78
17.80
17.86
17.88
17.89
17.94
17.98
18.10
18.14
18.19
18.23
18.24
18.27
18.30
18.34
18.36
18.36
18.40
18.43
18.47
18.56
18.58
18.61
18.61
18.69
18.74
18.75
18.81
18.85
18.88




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231522&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231522&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231522&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'Herman Ole Andreas Wold' @ wold.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115.42333333333330.148037669243850.52
215.96833333333330.1046060430492630.359999999999999
316.54666666666670.2589255187161440.770000000000003
417.33083333333330.2059328369477130.699999999999999
517.78250.09411066986170160.32
618.24250.1238125415882630.419999999999998
718.6650.1453835053792680.449999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15.4233333333333 & 0.14803766924385 & 0.52 \tabularnewline
2 & 15.9683333333333 & 0.104606043049263 & 0.359999999999999 \tabularnewline
3 & 16.5466666666667 & 0.258925518716144 & 0.770000000000003 \tabularnewline
4 & 17.3308333333333 & 0.205932836947713 & 0.699999999999999 \tabularnewline
5 & 17.7825 & 0.0941106698617016 & 0.32 \tabularnewline
6 & 18.2425 & 0.123812541588263 & 0.419999999999998 \tabularnewline
7 & 18.665 & 0.145383505379268 & 0.449999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231522&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]15.4233333333333[/C][C]0.14803766924385[/C][C]0.52[/C][/ROW]
[ROW][C]2[/C][C]15.9683333333333[/C][C]0.104606043049263[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]3[/C][C]16.5466666666667[/C][C]0.258925518716144[/C][C]0.770000000000003[/C][/ROW]
[ROW][C]4[/C][C]17.3308333333333[/C][C]0.205932836947713[/C][C]0.699999999999999[/C][/ROW]
[ROW][C]5[/C][C]17.7825[/C][C]0.0941106698617016[/C][C]0.32[/C][/ROW]
[ROW][C]6[/C][C]18.2425[/C][C]0.123812541588263[/C][C]0.419999999999998[/C][/ROW]
[ROW][C]7[/C][C]18.665[/C][C]0.145383505379268[/C][C]0.449999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231522&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231522&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
115.42333333333330.148037669243850.52
215.96833333333330.1046060430492630.359999999999999
316.54666666666670.2589255187161440.770000000000003
417.33083333333330.2059328369477130.699999999999999
517.78250.09411066986170160.32
618.24250.1238125415882630.419999999999998
718.6650.1453835053792680.449999999999999







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.291165847011747
beta-0.00798065017370655
S.D.0.0215969117044702
T-STAT-0.369527378863834
p-value0.726868537336329

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.291165847011747 \tabularnewline
beta & -0.00798065017370655 \tabularnewline
S.D. & 0.0215969117044702 \tabularnewline
T-STAT & -0.369527378863834 \tabularnewline
p-value & 0.726868537336329 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231522&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.291165847011747[/C][/ROW]
[ROW][C]beta[/C][C]-0.00798065017370655[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0215969117044702[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.369527378863834[/C][/ROW]
[ROW][C]p-value[/C][C]0.726868537336329[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231522&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231522&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)
alpha0.291165847011747
beta-0.00798065017370655
S.D.0.0215969117044702
T-STAT-0.369527378863834
p-value0.726868537336329







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.0678420788273586
beta-0.702171792315702
S.D.2.25619520607363
T-STAT-0.311219432797956
p-value0.768191180415495
Lambda1.7021717923157

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.0678420788273586 \tabularnewline
beta & -0.702171792315702 \tabularnewline
S.D. & 2.25619520607363 \tabularnewline
T-STAT & -0.311219432797956 \tabularnewline
p-value & 0.768191180415495 \tabularnewline
Lambda & 1.7021717923157 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231522&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0678420788273586[/C][/ROW]
[ROW][C]beta[/C][C]-0.702171792315702[/C][/ROW]
[ROW][C]S.D.[/C][C]2.25619520607363[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.311219432797956[/C][/ROW]
[ROW][C]p-value[/C][C]0.768191180415495[/C][/ROW]
[ROW][C]Lambda[/C][C]1.7021717923157[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231522&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231522&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)
alpha0.0678420788273586
beta-0.702171792315702
S.D.2.25619520607363
T-STAT-0.311219432797956
p-value0.768191180415495
Lambda1.7021717923157



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')