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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 10 Dec 2009 07:45:59 -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/2009/Dec/10/t1260456848lrmvqkeyjd7okh2.htm/, Retrieved Fri, 29 Mar 2024 04:53:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65443, Retrieved Fri, 29 Mar 2024 04:53:21 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [SMP Mannen] [2008-12-23 19:26:32] [ab2167f62c8fd37f7bb79fc194eace61]
-  M D    [Standard Deviation-Mean Plot] [Paper 1] [2009-12-10 14:45:59] [64da8748fbb01eed936684060058da39] [Current]
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Dataseries X:
62,7
62,3
61,9
62
62,3
62,8
62,4
62,3
62,7
62,7
62,9
63
62,2
62,3
62,8
62,8
62,8
62,2
62,6
62,8
62,5
62,4
62,3
61,9
61,7
62
62,1
61,7
61,8
61,8
61,8
61,3
61,3
61,3
61,2
61,4
62,2
62,9
63,1
63,5
63,6
64,4
64,1
65,1
65,8
65,9
65,4
65,5
64,8
63,2
62,7
62,1
61,9
60,6
60,7
59,8
59
58,3
59,3
59
59,1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65443&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65443&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
162.50.3516196291966141.10000000000000
262.46666666666670.2994945236510500.899999999999999
361.61666666666670.3040135563165610.899999999999999
464.29166666666671.246419113324493.7
560.952.000681702002416.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 62.5 & 0.351619629196614 & 1.10000000000000 \tabularnewline
2 & 62.4666666666667 & 0.299494523651050 & 0.899999999999999 \tabularnewline
3 & 61.6166666666667 & 0.304013556316561 & 0.899999999999999 \tabularnewline
4 & 64.2916666666667 & 1.24641911332449 & 3.7 \tabularnewline
5 & 60.95 & 2.00068170200241 & 6.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65443&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]62.5[/C][C]0.351619629196614[/C][C]1.10000000000000[/C][/ROW]
[ROW][C]2[/C][C]62.4666666666667[/C][C]0.299494523651050[/C][C]0.899999999999999[/C][/ROW]
[ROW][C]3[/C][C]61.6166666666667[/C][C]0.304013556316561[/C][C]0.899999999999999[/C][/ROW]
[ROW][C]4[/C][C]64.2916666666667[/C][C]1.24641911332449[/C][C]3.7[/C][/ROW]
[ROW][C]5[/C][C]60.95[/C][C]2.00068170200241[/C][C]6.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65443&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
162.50.3516196291966141.10000000000000
262.46666666666670.2994945236510500.899999999999999
361.61666666666670.3040135563165610.899999999999999
464.29166666666671.246419113324493.7
560.952.000681702002416.5







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6.57066402062823
beta-0.0918819580811354
S.D.0.347025648908184
T-STAT-0.264769933779291
p-value0.808335962516632

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.57066402062823 \tabularnewline
beta & -0.0918819580811354 \tabularnewline
S.D. & 0.347025648908184 \tabularnewline
T-STAT & -0.264769933779291 \tabularnewline
p-value & 0.808335962516632 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65443&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.57066402062823[/C][/ROW]
[ROW][C]beta[/C][C]-0.0918819580811354[/C][/ROW]
[ROW][C]S.D.[/C][C]0.347025648908184[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.264769933779291[/C][/ROW]
[ROW][C]p-value[/C][C]0.808335962516632[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65443&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65443&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)
alpha6.57066402062823
beta-0.0918819580811354
S.D.0.347025648908184
T-STAT-0.264769933779291
p-value0.808335962516632







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.86725561628352
beta0.329482299064568
S.D.25.8374686281603
T-STAT0.0127521122059715
p-value0.990626194820883
Lambda0.670517700935432

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.86725561628352 \tabularnewline
beta & 0.329482299064568 \tabularnewline
S.D. & 25.8374686281603 \tabularnewline
T-STAT & 0.0127521122059715 \tabularnewline
p-value & 0.990626194820883 \tabularnewline
Lambda & 0.670517700935432 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65443&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.86725561628352[/C][/ROW]
[ROW][C]beta[/C][C]0.329482299064568[/C][/ROW]
[ROW][C]S.D.[/C][C]25.8374686281603[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0127521122059715[/C][/ROW]
[ROW][C]p-value[/C][C]0.990626194820883[/C][/ROW]
[ROW][C]Lambda[/C][C]0.670517700935432[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65443&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65443&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-1.86725561628352
beta0.329482299064568
S.D.25.8374686281603
T-STAT0.0127521122059715
p-value0.990626194820883
Lambda0.670517700935432



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')