Free Statistics

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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, 26 Nov 2007 07:29:06 -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/2007/Nov/26/t1196086768x6vnthnsfisr1vg.htm/, Retrieved Thu, 02 May 2024 14:22:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6591, Retrieved Thu, 02 May 2024 14:22:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [vraag 1-2] [2007-11-26 14:29:06] [c40c597932a04e0e43159741c7e63e4c] [Current]
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Dataseries X:
12398.4
13882.3
15861.5
13286.1
15634.9
14211.0
13646.8
12224.6
15916.4
16535.9
15796.0
14418.6
15044.5
14944.2
16754.8
14254.0
15454.9
15644.8
14568.3
12520.2
14803.0
15873.2
14755.3
12875.1
14291.1
14205.3
15859.4
15258.9
15498.6
15106.5
15023.6
12083.0
15761.3
16943.0
15070.3
13659.6
14768.9
14725.1
15998.1
15370.6
14956.9
15469.7
15101.8
11703.7
16283.6
16726.5
14968.9
14861.0
14583.3
15305.8
17903.9
16379.4
15420.3
17870.5
15912.8
13866.5
17823.2
17872.0
17420.4
16704.4
15991.2
16583.6
19123.5
17838.7
17209.4




Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6591&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6591&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
114484.3751453.422786594084137.5
214791.0251185.201388429982872.5
314896.71666666671233.528074510691083.6
415077.91240.852211550233440.4
516421.8751409.654893372522947

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14484.375 & 1453.42278659408 & 4137.5 \tabularnewline
2 & 14791.025 & 1185.20138842998 & 2872.5 \tabularnewline
3 & 14896.7166666667 & 1233.52807451069 & 1083.6 \tabularnewline
4 & 15077.9 & 1240.85221155023 & 3440.4 \tabularnewline
5 & 16421.875 & 1409.65489337252 & 2947 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6591&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]14484.375[/C][C]1453.42278659408[/C][C]4137.5[/C][/ROW]
[ROW][C]2[/C][C]14791.025[/C][C]1185.20138842998[/C][C]2872.5[/C][/ROW]
[ROW][C]3[/C][C]14896.7166666667[/C][C]1233.52807451069[/C][C]1083.6[/C][/ROW]
[ROW][C]4[/C][C]15077.9[/C][C]1240.85221155023[/C][C]3440.4[/C][/ROW]
[ROW][C]5[/C][C]16421.875[/C][C]1409.65489337252[/C][C]2947[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6591&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
114484.3751453.422786594084137.5
214791.0251185.201388429982872.5
314896.71666666671233.528074510691083.6
415077.91240.852211550233440.4
516421.8751409.654893372522947







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha634.125604196015
beta0.0442969147413820
S.D.0.0877264047364705
T-STAT0.504943920527117
p-value0.648356000790746

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 634.125604196015 \tabularnewline
beta & 0.0442969147413820 \tabularnewline
S.D. & 0.0877264047364705 \tabularnewline
T-STAT & 0.504943920527117 \tabularnewline
p-value & 0.648356000790746 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6591&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]634.125604196015[/C][/ROW]
[ROW][C]beta[/C][C]0.0442969147413820[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0877264047364705[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.504943920527117[/C][/ROW]
[ROW][C]p-value[/C][C]0.648356000790746[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6591&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6591&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)
alpha634.125604196015
beta0.0442969147413820
S.D.0.0877264047364705
T-STAT0.504943920527117
p-value0.648356000790746







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.20232976620259
beta0.516221438318652
S.D.1.03208537126082
T-STAT0.500173195641774
p-value0.651339487491935
Lambda0.483778561681348

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.20232976620259 \tabularnewline
beta & 0.516221438318652 \tabularnewline
S.D. & 1.03208537126082 \tabularnewline
T-STAT & 0.500173195641774 \tabularnewline
p-value & 0.651339487491935 \tabularnewline
Lambda & 0.483778561681348 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6591&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.20232976620259[/C][/ROW]
[ROW][C]beta[/C][C]0.516221438318652[/C][/ROW]
[ROW][C]S.D.[/C][C]1.03208537126082[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.500173195641774[/C][/ROW]
[ROW][C]p-value[/C][C]0.651339487491935[/C][/ROW]
[ROW][C]Lambda[/C][C]0.483778561681348[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6591&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6591&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)
alpha2.20232976620259
beta0.516221438318652
S.D.1.03208537126082
T-STAT0.500173195641774
p-value0.651339487491935
Lambda0.483778561681348



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')