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Description of Statistical Computation

Author's title

Standard Deviation Mean Plot Jeansbroeken - Stephanie Van Mechelen (verbete...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 01 Jun 2008 14:59:04 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Jun/01/t12123545624prh8xuoa1sphf8.htm/, Retrieved Sun, 19 May 2024 13:40:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13749, Retrieved Sun, 19 May 2024 13:40:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact208

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] [Standard Deviatio...] [2008-06-01 20:59:04] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
47,87
47,87
47,89
47,88
47,91
47,92
47,92
47,91
47,93
48,05
48,03
48,04
48,04
48,06
48,04
48,09
48,12
48,16
48,16
48,16
48,08
48,13
48,16
48,15
48,15
48,15
48,27
48,47
48,51
48,53
48,53
48,53
48,68
48,64
48,67
48,66
48,66
48,67
48,71
48,96
49,01
49,04
49,04
49,04
49,06
49,13
49,19
49,26
49,26
49,26
49,29
49,43
49,43
49,45
49,45
49,46
49,57
49,68
49,71
49,7
49,7
49,8
49,84
50,09
50,2
50,16
50,16
50,29
50,36
51,02
51,03
51,04

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13749&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]3 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=13749&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13749&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
147.9350.06640098575390960.180000000000000
248.11250.04826536495816980.119999999999997
348.48250.1917443847702170.530000000000001
448.98083333333330.1988356257329300.600000000000001
549.47416666666670.1621143442328930.450000000000003
650.30750.4783328054056851.34000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 47.935 & 0.0664009857539096 & 0.180000000000000 \tabularnewline
2 & 48.1125 & 0.0482653649581698 & 0.119999999999997 \tabularnewline
3 & 48.4825 & 0.191744384770217 & 0.530000000000001 \tabularnewline
4 & 48.9808333333333 & 0.198835625732930 & 0.600000000000001 \tabularnewline
5 & 49.4741666666667 & 0.162114344232893 & 0.450000000000003 \tabularnewline
6 & 50.3075 & 0.478332805405685 & 1.34000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13749&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]47.935[/C][C]0.0664009857539096[/C][C]0.180000000000000[/C][/ROW]
[ROW][C]2[/C][C]48.1125[/C][C]0.0482653649581698[/C][C]0.119999999999997[/C][/ROW]
[ROW][C]3[/C][C]48.4825[/C][C]0.191744384770217[/C][C]0.530000000000001[/C][/ROW]
[ROW][C]4[/C][C]48.9808333333333[/C][C]0.198835625732930[/C][C]0.600000000000001[/C][/ROW]
[ROW][C]5[/C][C]49.4741666666667[/C][C]0.162114344232893[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]6[/C][C]50.3075[/C][C]0.478332805405685[/C][C]1.34000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13749&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13749&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
147.9350.06640098575390960.180000000000000
248.11250.04826536495816980.119999999999997
348.48250.1917443847702170.530000000000001
448.98083333333330.1988356257329300.600000000000001
549.47416666666670.1621143442328930.450000000000003
650.30750.4783328054056851.34000000000000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-7.31847483488923
beta0.153623234553182
S.D.0.0385216053680325
T-STAT3.98797591859107
p-value0.0162923842303189

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -7.31847483488923 \tabularnewline
beta & 0.153623234553182 \tabularnewline
S.D. & 0.0385216053680325 \tabularnewline
T-STAT & 3.98797591859107 \tabularnewline
p-value & 0.0162923842303189 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13749&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.31847483488923[/C][/ROW]
[ROW][C]beta[/C][C]0.153623234553182[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0385216053680325[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.98797591859107[/C][/ROW]
[ROW][C]p-value[/C][C]0.0162923842303189[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13749&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13749&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-7.31847483488923
beta0.153623234553182
S.D.0.0385216053680325
T-STAT3.98797591859107
p-value0.0162923842303189






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-156.689007477699
beta39.7918290188755
S.D.10.7786710371128
T-STAT3.69171940417008
p-value0.020987077186155
Lambda-38.7918290188755

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -156.689007477699 \tabularnewline
beta & 39.7918290188755 \tabularnewline
S.D. & 10.7786710371128 \tabularnewline
T-STAT & 3.69171940417008 \tabularnewline
p-value & 0.020987077186155 \tabularnewline
Lambda & -38.7918290188755 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13749&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-156.689007477699[/C][/ROW]
[ROW][C]beta[/C][C]39.7918290188755[/C][/ROW]
[ROW][C]S.D.[/C][C]10.7786710371128[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.69171940417008[/C][/ROW]
[ROW][C]p-value[/C][C]0.020987077186155[/C][/ROW]
[ROW][C]Lambda[/C][C]-38.7918290188755[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13749&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13749&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-156.689007477699
beta39.7918290188755
S.D.10.7786710371128
T-STAT3.69171940417008
p-value0.020987077186155
Lambda-38.7918290188755


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')