FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSat, 18 Dec 2010 12:05:16 +0000
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/Dec/18/t12926737852dft8d39zg2md8s.htm/, Retrieved Tue, 30 Apr 2024 02:22:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111867, Retrieved Tue, 30 Apr 2024 02:22:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact178

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [Spectral Analysis] [spectrum analyse ...] [2010-12-14 18:46:58] [d6e648f00513dd750579ba7880c5fbf5]
- RMP     [Standard Deviation-Mean Plot] [standard deviatio...] [2010-12-14 19:01:46] [d6e648f00513dd750579ba7880c5fbf5]
-    D      [Standard Deviation-Mean Plot] [] [2010-12-16 10:22:52] [58af523ef9b33032fd2497c80088399b]
-    D          [Standard Deviation-Mean Plot] [] [2010-12-18 12:05:16] [7c1b7ddc8e9000e55b944088fdfb52dc] [Current]
-                 [Standard Deviation-Mean Plot] [] [2010-12-29 09:48:17] [126c9e58bb659a0bfb4675d843c2c69e]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
104.31
103.88
103.88
103.86
103.89
103.98
103.98
104.29
104.29
104.24
103.98
103.54
103.44
103.32
103.3
103.26
103.14
103.11
102.91
103.23
103.23
103.14
102.91
102.42
102.1
102.07
102.06
101.98
101.83
101.75
101.56
101.66
101.65
101.61
101.52
101.31
101.19
101.11
101.1
101.07
100.98
100.93
100.92
101.02
101.01
100.97
100.89
100.62
100.53
100.48
100.48
100.47
100.52
100.49
100.47
100.44

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111867&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111867&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111867&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1104.010.2323790007724450.769999999999996
2103.11750.2692793412728941.02000000000000
3101.7583333333330.2522204423022660.789999999999992
4100.9841666666670.1445028048380370.569999999999993

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 104.01 & 0.232379000772445 & 0.769999999999996 \tabularnewline
2 & 103.1175 & 0.269279341272894 & 1.02000000000000 \tabularnewline
3 & 101.758333333333 & 0.252220442302266 & 0.789999999999992 \tabularnewline
4 & 100.984166666667 & 0.144502804838037 & 0.569999999999993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111867&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]104.01[/C][C]0.232379000772445[/C][C]0.769999999999996[/C][/ROW]
[ROW][C]2[/C][C]103.1175[/C][C]0.269279341272894[/C][C]1.02000000000000[/C][/ROW]
[ROW][C]3[/C][C]101.758333333333[/C][C]0.252220442302266[/C][C]0.789999999999992[/C][/ROW]
[ROW][C]4[/C][C]100.984166666667[/C][C]0.144502804838037[/C][C]0.569999999999993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111867&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111867&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
1104.010.2323790007724450.769999999999996
2103.11750.2692793412728941.02000000000000
3101.7583333333330.2522204423022660.789999999999992
4100.9841666666670.1445028048380370.569999999999993






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2.38621298628766
beta0.0254793801311056
S.D.0.0226760225815731
T-STAT1.12362651075372
p-value0.377922798130123

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2.38621298628766 \tabularnewline
beta & 0.0254793801311056 \tabularnewline
S.D. & 0.0226760225815731 \tabularnewline
T-STAT & 1.12362651075372 \tabularnewline
p-value & 0.377922798130123 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111867&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.38621298628766[/C][/ROW]
[ROW][C]beta[/C][C]0.0254793801311056[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0226760225815731[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.12362651075372[/C][/ROW]
[ROW][C]p-value[/C][C]0.377922798130123[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111867&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111867&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-2.38621298628766
beta0.0254793801311056
S.D.0.0226760225815731
T-STAT1.12362651075372
p-value0.377922798130123






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-65.778521836744
beta13.8801106670979
S.D.11.4767681696555
T-STAT1.20940934433065
p-value0.350068318874507
Lambda-12.8801106670979

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -65.778521836744 \tabularnewline
beta & 13.8801106670979 \tabularnewline
S.D. & 11.4767681696555 \tabularnewline
T-STAT & 1.20940934433065 \tabularnewline
p-value & 0.350068318874507 \tabularnewline
Lambda & -12.8801106670979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111867&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-65.778521836744[/C][/ROW]
[ROW][C]beta[/C][C]13.8801106670979[/C][/ROW]
[ROW][C]S.D.[/C][C]11.4767681696555[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.20940934433065[/C][/ROW]
[ROW][C]p-value[/C][C]0.350068318874507[/C][/ROW]
[ROW][C]Lambda[/C][C]-12.8801106670979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111867&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111867&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-65.778521836744
beta13.8801106670979
S.D.11.4767681696555
T-STAT1.20940934433065
p-value0.350068318874507
Lambda-12.8801106670979


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')