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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 computationSat, 01 Dec 2007 04:05:27 -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/Dec/01/t1196506735dcsm0rokp0gfkll.htm/, Retrieved Sun, 19 May 2024 18:04:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2203, Retrieved Sun, 19 May 2024 18:04:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact229

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...] [2007-12-01 11:05:27] [bd02e85be52eb1cb060a2c60779eb820] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
134066
130104
123090
116598
109627
105428
137272
159836
155283
141514
131852
130691
128461
123066
117599
111599
105395
102334
131305
149033
144954
132404
122104
118755
116222
110924
103753
99983
93302
91496
119321
139261
133739
123913
113438
109416
109406
105645
101328
97686
93093
91382
122257
139183
139887
131822
116805
113706
113012
110452
107005
102841
98173
98181
137277
147579
146571
138920
130340
128140
127059
122860
117702
113537
108366
111078
150739
159129
157928
147768
137507
136919
136151
133001
125554
119647
114158
116193
152803
161761
160942
149470
139208
134588
130322
126611
122401
117352
112135
112879
148729
157230
157221
146681
136524
132111
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2203&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]2 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=2203&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2203&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1131280.08333333316409.150382184750430
2123917.41666666714307.742681107643388
3112897.33333333314807.181441531137933
4113516.66666666716953.376527906542201
5121540.91666666718643.904597181054486
6132549.33333333318361.249879883367747
7136956.33333333316530.332616866642440
8133349.66666666716139.886263727518047
912637514399.970302999716207

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 131280.083333333 & 16409.1503821847 & 50430 \tabularnewline
2 & 123917.416666667 & 14307.7426811076 & 43388 \tabularnewline
3 & 112897.333333333 & 14807.1814415311 & 37933 \tabularnewline
4 & 113516.666666667 & 16953.3765279065 & 42201 \tabularnewline
5 & 121540.916666667 & 18643.9045971810 & 54486 \tabularnewline
6 & 132549.333333333 & 18361.2498798833 & 67747 \tabularnewline
7 & 136956.333333333 & 16530.3326168666 & 42440 \tabularnewline
8 & 133349.666666667 & 16139.8862637275 & 18047 \tabularnewline
9 & 126375 & 14399.9703029997 & 16207 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2203&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]131280.083333333[/C][C]16409.1503821847[/C][C]50430[/C][/ROW]
[ROW][C]2[/C][C]123917.416666667[/C][C]14307.7426811076[/C][C]43388[/C][/ROW]
[ROW][C]3[/C][C]112897.333333333[/C][C]14807.1814415311[/C][C]37933[/C][/ROW]
[ROW][C]4[/C][C]113516.666666667[/C][C]16953.3765279065[/C][C]42201[/C][/ROW]
[ROW][C]5[/C][C]121540.916666667[/C][C]18643.9045971810[/C][C]54486[/C][/ROW]
[ROW][C]6[/C][C]132549.333333333[/C][C]18361.2498798833[/C][C]67747[/C][/ROW]
[ROW][C]7[/C][C]136956.333333333[/C][C]16530.3326168666[/C][C]42440[/C][/ROW]
[ROW][C]8[/C][C]133349.666666667[/C][C]16139.8862637275[/C][C]18047[/C][/ROW]
[ROW][C]9[/C][C]126375[/C][C]14399.9703029997[/C][C]16207[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2203&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2203&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
1131280.08333333316409.150382184750430
2123917.41666666714307.742681107643388
3112897.33333333314807.181441531137933
4113516.66666666716953.376527906542201
5121540.91666666718643.904597181054486
6132549.33333333318361.249879883367747
7136956.33333333316530.332616866642440
8133349.66666666716139.886263727518047
912637514399.970302999716207






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12109.7969319716
beta0.0331730788954916
S.D.0.068183493369937
T-STAT0.486526536789593
p-value0.641456167308777

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12109.7969319716 \tabularnewline
beta & 0.0331730788954916 \tabularnewline
S.D. & 0.068183493369937 \tabularnewline
T-STAT & 0.486526536789593 \tabularnewline
p-value & 0.641456167308777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2203&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12109.7969319716[/C][/ROW]
[ROW][C]beta[/C][C]0.0331730788954916[/C][/ROW]
[ROW][C]S.D.[/C][C]0.068183493369937[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.486526536789593[/C][/ROW]
[ROW][C]p-value[/C][C]0.641456167308777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2203&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2203&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)
alpha12109.7969319716
beta0.0331730788954916
S.D.0.068183493369937
T-STAT0.486526536789593
p-value0.641456167308777






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.62145638832015
beta0.261681527496898
S.D.0.517491699648252
T-STAT0.505672898086612
p-value0.628617090916661
Lambda0.738318472503102

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.62145638832015 \tabularnewline
beta & 0.261681527496898 \tabularnewline
S.D. & 0.517491699648252 \tabularnewline
T-STAT & 0.505672898086612 \tabularnewline
p-value & 0.628617090916661 \tabularnewline
Lambda & 0.738318472503102 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2203&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.62145638832015[/C][/ROW]
[ROW][C]beta[/C][C]0.261681527496898[/C][/ROW]
[ROW][C]S.D.[/C][C]0.517491699648252[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.505672898086612[/C][/ROW]
[ROW][C]p-value[/C][C]0.628617090916661[/C][/ROW]
[ROW][C]Lambda[/C][C]0.738318472503102[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2203&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2203&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)
alpha6.62145638832015
beta0.261681527496898
S.D.0.517491699648252
T-STAT0.505672898086612
p-value0.628617090916661
Lambda0.738318472503102


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')