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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 10:01:58 -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/t1322492546u4d9apxhykd7l0b.htm/, Retrieved Thu, 28 Mar 2024 13:21:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147790, Retrieved Thu, 28 Mar 2024 13:21:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2011-11-28 15:01:58] [5143da885265528a100ac524801fc397] [Current]
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Dataseries X:
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367
31124
26551
30651
25859
25100
25778
20418
18688
20424
24776
19814
12738
31566
30111
30019
31934
25826
26835
20205
17789
20520
22518
15572
11509
25447
24090
27786
26195
20516
22759
19028
16971
20036
22485
18730
14538
27561
25985
34670
32066
27186
29586
21359
21553
19573
24256
22380
16167




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147790&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147790&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147790&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'AstonUniversity' @ aston.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
130783.253160.026938176327341
2214784501.683907161859408
316487.254992.2944875077211628
428546.252725.013929628015265
5224963481.919394050747090
6194384983.2324181532312038
730907.5985.0835835941371915
822663.754366.836793759689046
917529.754963.4144413565411009
1025879.51540.957386388953696
1119818.52440.368346513835788
1218947.253326.145654758177947
1330070.54005.259916659598685
14249214120.020954639278227
15205943523.294386413568089

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 30783.25 & 3160.02693817632 & 7341 \tabularnewline
2 & 21478 & 4501.68390716185 & 9408 \tabularnewline
3 & 16487.25 & 4992.29448750772 & 11628 \tabularnewline
4 & 28546.25 & 2725.01392962801 & 5265 \tabularnewline
5 & 22496 & 3481.91939405074 & 7090 \tabularnewline
6 & 19438 & 4983.23241815323 & 12038 \tabularnewline
7 & 30907.5 & 985.083583594137 & 1915 \tabularnewline
8 & 22663.75 & 4366.83679375968 & 9046 \tabularnewline
9 & 17529.75 & 4963.41444135654 & 11009 \tabularnewline
10 & 25879.5 & 1540.95738638895 & 3696 \tabularnewline
11 & 19818.5 & 2440.36834651383 & 5788 \tabularnewline
12 & 18947.25 & 3326.14565475817 & 7947 \tabularnewline
13 & 30070.5 & 4005.25991665959 & 8685 \tabularnewline
14 & 24921 & 4120.02095463927 & 8227 \tabularnewline
15 & 20594 & 3523.29438641356 & 8089 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147790&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]30783.25[/C][C]3160.02693817632[/C][C]7341[/C][/ROW]
[ROW][C]2[/C][C]21478[/C][C]4501.68390716185[/C][C]9408[/C][/ROW]
[ROW][C]3[/C][C]16487.25[/C][C]4992.29448750772[/C][C]11628[/C][/ROW]
[ROW][C]4[/C][C]28546.25[/C][C]2725.01392962801[/C][C]5265[/C][/ROW]
[ROW][C]5[/C][C]22496[/C][C]3481.91939405074[/C][C]7090[/C][/ROW]
[ROW][C]6[/C][C]19438[/C][C]4983.23241815323[/C][C]12038[/C][/ROW]
[ROW][C]7[/C][C]30907.5[/C][C]985.083583594137[/C][C]1915[/C][/ROW]
[ROW][C]8[/C][C]22663.75[/C][C]4366.83679375968[/C][C]9046[/C][/ROW]
[ROW][C]9[/C][C]17529.75[/C][C]4963.41444135654[/C][C]11009[/C][/ROW]
[ROW][C]10[/C][C]25879.5[/C][C]1540.95738638895[/C][C]3696[/C][/ROW]
[ROW][C]11[/C][C]19818.5[/C][C]2440.36834651383[/C][C]5788[/C][/ROW]
[ROW][C]12[/C][C]18947.25[/C][C]3326.14565475817[/C][C]7947[/C][/ROW]
[ROW][C]13[/C][C]30070.5[/C][C]4005.25991665959[/C][C]8685[/C][/ROW]
[ROW][C]14[/C][C]24921[/C][C]4120.02095463927[/C][C]8227[/C][/ROW]
[ROW][C]15[/C][C]20594[/C][C]3523.29438641356[/C][C]8089[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147790&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147790&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
130783.253160.026938176327341
2214784501.683907161859408
316487.254992.2944875077211628
428546.252725.013929628015265
5224963481.919394050747090
6194384983.2324181532312038
730907.5985.0835835941371915
822663.754366.836793759689046
917529.754963.4144413565411009
1025879.51540.957386388953696
1119818.52440.368346513835788
1218947.253326.145654758177947
1330070.54005.259916659598685
14249214120.020954639278227
15205943523.294386413568089







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6952.64330707516
beta-0.145977932674576
S.D.0.056506492939133
T-STAT-2.5833833437835
p-value0.0227105064088484

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6952.64330707516 \tabularnewline
beta & -0.145977932674576 \tabularnewline
S.D. & 0.056506492939133 \tabularnewline
T-STAT & -2.5833833437835 \tabularnewline
p-value & 0.0227105064088484 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147790&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6952.64330707516[/C][/ROW]
[ROW][C]beta[/C][C]-0.145977932674576[/C][/ROW]
[ROW][C]S.D.[/C][C]0.056506492939133[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.5833833437835[/C][/ROW]
[ROW][C]p-value[/C][C]0.0227105064088484[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147790&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147790&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)
alpha6952.64330707516
beta-0.145977932674576
S.D.0.056506492939133
T-STAT-2.5833833437835
p-value0.0227105064088484







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha20.4565170514735
beta-1.23159670457522
S.D.0.510258812156947
T-STAT-2.41367062210854
p-value0.031273961328555
Lambda2.23159670457522

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 20.4565170514735 \tabularnewline
beta & -1.23159670457522 \tabularnewline
S.D. & 0.510258812156947 \tabularnewline
T-STAT & -2.41367062210854 \tabularnewline
p-value & 0.031273961328555 \tabularnewline
Lambda & 2.23159670457522 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147790&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]20.4565170514735[/C][/ROW]
[ROW][C]beta[/C][C]-1.23159670457522[/C][/ROW]
[ROW][C]S.D.[/C][C]0.510258812156947[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.41367062210854[/C][/ROW]
[ROW][C]p-value[/C][C]0.031273961328555[/C][/ROW]
[ROW][C]Lambda[/C][C]2.23159670457522[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147790&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147790&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)
alpha20.4565170514735
beta-1.23159670457522
S.D.0.510258812156947
T-STAT-2.41367062210854
p-value0.031273961328555
Lambda2.23159670457522



Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')