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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, 29 Nov 2008 04:05:20 -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/2008/Nov/29/t1227956792pr0dic3c1k026im.htm/, Retrieved Sun, 19 May 2024 07:45:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26203, Retrieved Sun, 19 May 2024 07:45:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact198

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...] [2007-12-13 15:32:13] [ede03b06b9ae6a59763c2cc70a5f12fe]
-    D    [Standard Deviation-Mean Plot] [SDMP H0] [2008-11-29 11:05:20] [1b288879226ab9a3cab0c803857233cc] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
95.4
101.2
101.5
101.9
101.7
100.1
97.4
96.5
99.2
102.2
105.3
111.1
114.9
124.5
142.2
159.7
165.2
198.6
207.8
219.6
239.6
235.3
218.5
213.8
205.5
198.4
198.5
190.2
180.7
193.6
192.8
195.5
197.2
196.9
178.9
172.4
156.4
143.7
153.6
168.8
185.8
199.9
205.4
197.5
199.6
200.5
193.7
179.6
169.1
169.8
195.5
194.8
204.5
203.8
204.8
204.9
240
248.3
258.4
254.9

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26203&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26203&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26203&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1101.1254.1774557285070515.7
2186.64166666666743.454039635068138.4
3191.7166666666679.61862145984958104
4182.04166666666721.3634121522728103.5
5212.430.9078101338922156.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 101.125 & 4.17745572850705 & 15.7 \tabularnewline
2 & 186.641666666667 & 43.454039635068 & 138.4 \tabularnewline
3 & 191.716666666667 & 9.61862145984958 & 104 \tabularnewline
4 & 182.041666666667 & 21.3634121522728 & 103.5 \tabularnewline
5 & 212.4 & 30.9078101338922 & 156.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26203&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]101.125[/C][C]4.17745572850705[/C][C]15.7[/C][/ROW]
[ROW][C]2[/C][C]186.641666666667[/C][C]43.454039635068[/C][C]138.4[/C][/ROW]
[ROW][C]3[/C][C]191.716666666667[/C][C]9.61862145984958[/C][C]104[/C][/ROW]
[ROW][C]4[/C][C]182.041666666667[/C][C]21.3634121522728[/C][C]103.5[/C][/ROW]
[ROW][C]5[/C][C]212.4[/C][C]30.9078101338922[/C][C]156.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26203&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26203&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
1101.1254.1774557285070515.7
2186.64166666666743.454039635068138.4
3191.7166666666679.61862145984958104
4182.04166666666721.3634121522728103.5
5212.430.9078101338922156.7






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-18.3978323445082
beta0.230581000465864
S.D.0.168251425608340
T-STAT1.37045495829924
p-value0.264086480333262

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -18.3978323445082 \tabularnewline
beta & 0.230581000465864 \tabularnewline
S.D. & 0.168251425608340 \tabularnewline
T-STAT & 1.37045495829924 \tabularnewline
p-value & 0.264086480333262 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26203&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-18.3978323445082[/C][/ROW]
[ROW][C]beta[/C][C]0.230581000465864[/C][/ROW]
[ROW][C]S.D.[/C][C]0.168251425608340[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.37045495829924[/C][/ROW]
[ROW][C]p-value[/C][C]0.264086480333262[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26203&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26203&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-18.3978323445082
beta0.230581000465864
S.D.0.168251425608340
T-STAT1.37045495829924
p-value0.264086480333262






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.4591316831038
beta2.58154412449226
S.D.1.10063139213247
T-STAT2.34551198788772
p-value0.100715613530585
Lambda-1.58154412449226

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.4591316831038 \tabularnewline
beta & 2.58154412449226 \tabularnewline
S.D. & 1.10063139213247 \tabularnewline
T-STAT & 2.34551198788772 \tabularnewline
p-value & 0.100715613530585 \tabularnewline
Lambda & -1.58154412449226 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26203&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.4591316831038[/C][/ROW]
[ROW][C]beta[/C][C]2.58154412449226[/C][/ROW]
[ROW][C]S.D.[/C][C]1.10063139213247[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.34551198788772[/C][/ROW]
[ROW][C]p-value[/C][C]0.100715613530585[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.58154412449226[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26203&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26203&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-10.4591316831038
beta2.58154412449226
S.D.1.10063139213247
T-STAT2.34551198788772
p-value0.100715613530585
Lambda-1.58154412449226


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')