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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 27 Nov 2007 02:34:05 -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/27/t1196155469mochy5jcjohmg7x.htm/, Retrieved Sun, 05 May 2024 11:14:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6752, Retrieved Sun, 05 May 2024 11:14:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact215

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [vraag 1-4] [2007-11-27 09:34:05] [c40c597932a04e0e43159741c7e63e4c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15
14
14
16
24
19
15
15
14
13
11
12
10
21
16
14
11
14
12
14
12
18
15
13
12
12
16
12
11
18
17
15
17
19
11
14
14
13
15
15
12
10
13
13
10
8
10
14
11
10
13
12
10
11
12
12
15
11
15
17
12
14
15
15
13

Tables (Output of Computation)





Summary of compuational 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 compuational 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=6752&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]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=6752&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6752&T=0

As an alternative you can also use a QR Code:  
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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115.16666666666673.4333480435107114
214.16666666666673.0698929011029711
314.52.876234912646616
412.252.261335084333233
512.41666666666672.193309385519077

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15.1666666666667 & 3.43334804351071 & 14 \tabularnewline
2 & 14.1666666666667 & 3.06989290110297 & 11 \tabularnewline
3 & 14.5 & 2.87623491264661 & 6 \tabularnewline
4 & 12.25 & 2.26133508433323 & 3 \tabularnewline
5 & 12.4166666666667 & 2.19330938551907 & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6752&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]15.1666666666667[/C][C]3.43334804351071[/C][C]14[/C][/ROW]
[ROW][C]2[/C][C]14.1666666666667[/C][C]3.06989290110297[/C][C]11[/C][/ROW]
[ROW][C]3[/C][C]14.5[/C][C]2.87623491264661[/C][C]6[/C][/ROW]
[ROW][C]4[/C][C]12.25[/C][C]2.26133508433323[/C][C]3[/C][/ROW]
[ROW][C]5[/C][C]12.4166666666667[/C][C]2.19330938551907[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6752&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6752&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115.16666666666673.4333480435107114
214.16666666666673.0698929011029711
314.52.876234912646616
412.252.261335084333233
512.41666666666672.193309385519077






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2.65675186275301
beta0.395881454611352
S.D.0.0601410160207231
T-STAT6.58255348521117
p-value0.0071339884936983

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2.65675186275301 \tabularnewline
beta & 0.395881454611352 \tabularnewline
S.D. & 0.0601410160207231 \tabularnewline
T-STAT & 6.58255348521117 \tabularnewline
p-value & 0.0071339884936983 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6752&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.65675186275301[/C][/ROW]
[ROW][C]beta[/C][C]0.395881454611352[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0601410160207231[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.58255348521117[/C][/ROW]
[ROW][C]p-value[/C][C]0.0071339884936983[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6752&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6752&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2.65675186275301
beta0.395881454611352
S.D.0.0601410160207231
T-STAT6.58255348521117
p-value0.0071339884936983






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.16502561669081
beta1.97710129498111
S.D.0.277940482879775
T-STAT7.11339807176029
p-value0.00571706422706166
Lambda-0.977101294981114

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.16502561669081 \tabularnewline
beta & 1.97710129498111 \tabularnewline
S.D. & 0.277940482879775 \tabularnewline
T-STAT & 7.11339807176029 \tabularnewline
p-value & 0.00571706422706166 \tabularnewline
Lambda & -0.977101294981114 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6752&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.16502561669081[/C][/ROW]
[ROW][C]beta[/C][C]1.97710129498111[/C][/ROW]
[ROW][C]S.D.[/C][C]0.277940482879775[/C][/ROW]
[ROW][C]T-STAT[/C][C]7.11339807176029[/C][/ROW]
[ROW][C]p-value[/C][C]0.00571706422706166[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.977101294981114[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6752&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6752&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.16502561669081
beta1.97710129498111
S.D.0.277940482879775
T-STAT7.11339807176029
p-value0.00571706422706166
Lambda-0.977101294981114


Figures (Output of Computation)

Input Parameters & R Code

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')