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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 06 Jan 2010 10:38:06 -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/2010/Jan/06/t1262799522tm2wrhkt28apxfw.htm/, Retrieved Thu, 31 Oct 2024 23:38:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71688, Retrieved Thu, 31 Oct 2024 23:38:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact144
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2010-01-06 17:38:06] [d7e29fbdd9c070952bc7bcf8a141229f] [Current]
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Dataseries X:
104,28
104,33
104,46
104,46
104,5
104,61
104,66
104,66
105,03
105,32
105,52
105,67
105,71
105,81
106
106,02
106,19
106,22
106,34
106,42
106,84
107,23
107,42
107,63
107,69
107,81
107,92
108,06
108,21
108,44
108,55
108,66
109,23
109,7
109,94
110,13
110,39
110,46
110,67
110,89
110,98
111,12
111,33
111,43
111,87
112,22
112,47
112,64
112,84
113,03
113,09
113,27
113,44
113,51
113,66
113,62
114,01
114,55
114,77
114,87
115,11
115,09
115,24
115,27
115,41
115,59
115,6
115,68
116,2
116,55
116,73
117,04
117,12
117,28
117,48
117,66
117,92
118,12
118,17
118,39




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=71688&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=71688&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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
1104.38250.09178779875342550.179999999999993
2104.60750.07544313531837360.159999999999997
3105.3850.2767068243948220.64
4105.8850.1502220578565840.310000000000002
5106.29250.1068877916321620.230000000000004
6107.280.3357578492505150.789999999999992
7107.870.15769168230020.370000000000005
8108.4650.1922671752189310.450000000000003
9109.750.3887587083697680.899999999999991
10110.60250.2255918142722990.5
11111.2150.2030599254735740.450000000000003
12112.30.3345643934033210.769999999999996
13113.05750.1772709790123560.429999999999993
14113.55750.1007885575516060.219999999999999
15114.550.3840138886377230.86
16115.17750.09069178573608180.179999999999993
17115.570.1140175425099170.27000000000001
18116.630.3509035954978730.840000000000003
19117.3850.2351595203260940.539999999999992
20118.150.1930457631409360.469999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 104.3825 & 0.0917877987534255 & 0.179999999999993 \tabularnewline
2 & 104.6075 & 0.0754431353183736 & 0.159999999999997 \tabularnewline
3 & 105.385 & 0.276706824394822 & 0.64 \tabularnewline
4 & 105.885 & 0.150222057856584 & 0.310000000000002 \tabularnewline
5 & 106.2925 & 0.106887791632162 & 0.230000000000004 \tabularnewline
6 & 107.28 & 0.335757849250515 & 0.789999999999992 \tabularnewline
7 & 107.87 & 0.1576916823002 & 0.370000000000005 \tabularnewline
8 & 108.465 & 0.192267175218931 & 0.450000000000003 \tabularnewline
9 & 109.75 & 0.388758708369768 & 0.899999999999991 \tabularnewline
10 & 110.6025 & 0.225591814272299 & 0.5 \tabularnewline
11 & 111.215 & 0.203059925473574 & 0.450000000000003 \tabularnewline
12 & 112.3 & 0.334564393403321 & 0.769999999999996 \tabularnewline
13 & 113.0575 & 0.177270979012356 & 0.429999999999993 \tabularnewline
14 & 113.5575 & 0.100788557551606 & 0.219999999999999 \tabularnewline
15 & 114.55 & 0.384013888637723 & 0.86 \tabularnewline
16 & 115.1775 & 0.0906917857360818 & 0.179999999999993 \tabularnewline
17 & 115.57 & 0.114017542509917 & 0.27000000000001 \tabularnewline
18 & 116.63 & 0.350903595497873 & 0.840000000000003 \tabularnewline
19 & 117.385 & 0.235159520326094 & 0.539999999999992 \tabularnewline
20 & 118.15 & 0.193045763140936 & 0.469999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&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]104.3825[/C][C]0.0917877987534255[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]2[/C][C]104.6075[/C][C]0.0754431353183736[/C][C]0.159999999999997[/C][/ROW]
[ROW][C]3[/C][C]105.385[/C][C]0.276706824394822[/C][C]0.64[/C][/ROW]
[ROW][C]4[/C][C]105.885[/C][C]0.150222057856584[/C][C]0.310000000000002[/C][/ROW]
[ROW][C]5[/C][C]106.2925[/C][C]0.106887791632162[/C][C]0.230000000000004[/C][/ROW]
[ROW][C]6[/C][C]107.28[/C][C]0.335757849250515[/C][C]0.789999999999992[/C][/ROW]
[ROW][C]7[/C][C]107.87[/C][C]0.1576916823002[/C][C]0.370000000000005[/C][/ROW]
[ROW][C]8[/C][C]108.465[/C][C]0.192267175218931[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]9[/C][C]109.75[/C][C]0.388758708369768[/C][C]0.899999999999991[/C][/ROW]
[ROW][C]10[/C][C]110.6025[/C][C]0.225591814272299[/C][C]0.5[/C][/ROW]
[ROW][C]11[/C][C]111.215[/C][C]0.203059925473574[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]12[/C][C]112.3[/C][C]0.334564393403321[/C][C]0.769999999999996[/C][/ROW]
[ROW][C]13[/C][C]113.0575[/C][C]0.177270979012356[/C][C]0.429999999999993[/C][/ROW]
[ROW][C]14[/C][C]113.5575[/C][C]0.100788557551606[/C][C]0.219999999999999[/C][/ROW]
[ROW][C]15[/C][C]114.55[/C][C]0.384013888637723[/C][C]0.86[/C][/ROW]
[ROW][C]16[/C][C]115.1775[/C][C]0.0906917857360818[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]17[/C][C]115.57[/C][C]0.114017542509917[/C][C]0.27000000000001[/C][/ROW]
[ROW][C]18[/C][C]116.63[/C][C]0.350903595497873[/C][C]0.840000000000003[/C][/ROW]
[ROW][C]19[/C][C]117.385[/C][C]0.235159520326094[/C][C]0.539999999999992[/C][/ROW]
[ROW][C]20[/C][C]118.15[/C][C]0.193045763140936[/C][C]0.469999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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
1104.38250.09178779875342550.179999999999993
2104.60750.07544313531837360.159999999999997
3105.3850.2767068243948220.64
4105.8850.1502220578565840.310000000000002
5106.29250.1068877916321620.230000000000004
6107.280.3357578492505150.789999999999992
7107.870.15769168230020.370000000000005
8108.4650.1922671752189310.450000000000003
9109.750.3887587083697680.899999999999991
10110.60250.2255918142722990.5
11111.2150.2030599254735740.450000000000003
12112.30.3345643934033210.769999999999996
13113.05750.1772709790123560.429999999999993
14113.55750.1007885575516060.219999999999999
15114.550.3840138886377230.86
16115.17750.09069178573608180.179999999999993
17115.570.1140175425099170.27000000000001
18116.630.3509035954978730.840000000000003
19117.3850.2351595203260940.539999999999992
20118.150.1930457631409360.469999999999999







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.339580382695926
beta0.00494845885525422
S.D.0.00532377536686994
T-STAT0.92950181295189
p-value0.364927680044264

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.339580382695926 \tabularnewline
beta & 0.00494845885525422 \tabularnewline
S.D. & 0.00532377536686994 \tabularnewline
T-STAT & 0.92950181295189 \tabularnewline
p-value & 0.364927680044264 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.339580382695926[/C][/ROW]
[ROW][C]beta[/C][C]0.00494845885525422[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00532377536686994[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.92950181295189[/C][/ROW]
[ROW][C]p-value[/C][C]0.364927680044264[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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-0.339580382695926
beta0.00494845885525422
S.D.0.00532377536686994
T-STAT0.92950181295189
p-value0.364927680044264







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-16.8771203967395
beta3.22595843977907
S.D.2.96419130863883
T-STAT1.08830979646197
p-value0.290816085300154
Lambda-2.22595843977907

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -16.8771203967395 \tabularnewline
beta & 3.22595843977907 \tabularnewline
S.D. & 2.96419130863883 \tabularnewline
T-STAT & 1.08830979646197 \tabularnewline
p-value & 0.290816085300154 \tabularnewline
Lambda & -2.22595843977907 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71688&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-16.8771203967395[/C][/ROW]
[ROW][C]beta[/C][C]3.22595843977907[/C][/ROW]
[ROW][C]S.D.[/C][C]2.96419130863883[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.08830979646197[/C][/ROW]
[ROW][C]p-value[/C][C]0.290816085300154[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.22595843977907[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71688&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71688&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-16.8771203967395
beta3.22595843977907
S.D.2.96419130863883
T-STAT1.08830979646197
p-value0.290816085300154
Lambda-2.22595843977907



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')