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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 computationFri, 27 Nov 2009 16:04:00 -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/2009/Nov/28/t1259363074ackr2qtlu16iunb.htm/, Retrieved Sun, 05 May 2024 14:46:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61330, Retrieved Sun, 05 May 2024 14:46:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact175

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D        [Standard Deviation-Mean Plot] [] [2009-11-25 17:54:13] [90f6d58d515a4caed6fb4b8be4e11eaa]
- R PD            [Standard Deviation-Mean Plot] [WorkShop8 (SHW)] [2009-11-27 23:04:00] [2d9a0b3c2f25bb8f387fafb994d0d852] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
282965
276610
277838
277051
277026
274960
270073
267063
264916
287182
291109
292223
288109
281400
282579
280113
280331
276759
275139
274275
271234
289725
290649
292223
278429
269749
265784
268957
264099
255121
253276
245980
235295
258479
260916
254586
250566
243345
247028
248464
244962
237003
237008
225477
226762
247857
248256
246892
245021
246186
255688
264242
268270
272969
273886
267353
271916
292633
295804
293222

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61330&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61330&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61330&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1278251.3333333338785.5124167143727307
22818786962.8702415024220989
3259222.58333333311545.486969204143134
4241968.3333333338546.5610663357525089
5270599.16666666717001.828371375250783

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 278251.333333333 & 8785.51241671437 & 27307 \tabularnewline
2 & 281878 & 6962.87024150242 & 20989 \tabularnewline
3 & 259222.583333333 & 11545.4869692041 & 43134 \tabularnewline
4 & 241968.333333333 & 8546.56106633575 & 25089 \tabularnewline
5 & 270599.166666667 & 17001.8283713752 & 50783 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61330&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]278251.333333333[/C][C]8785.51241671437[/C][C]27307[/C][/ROW]
[ROW][C]2[/C][C]281878[/C][C]6962.87024150242[/C][C]20989[/C][/ROW]
[ROW][C]3[/C][C]259222.583333333[/C][C]11545.4869692041[/C][C]43134[/C][/ROW]
[ROW][C]4[/C][C]241968.333333333[/C][C]8546.56106633575[/C][C]25089[/C][/ROW]
[ROW][C]5[/C][C]270599.166666667[/C][C]17001.8283713752[/C][C]50783[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61330&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61330&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
1278251.3333333338785.5124167143727307
22818786962.8702415024220989
3259222.58333333311545.486969204143134
4241968.3333333338546.5610663357525089
5270599.16666666717001.828371375250783






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12487.7555397098
beta-0.00720502945848934
S.D.0.141185931171156
T-STAT-0.0510322055372137
p-value0.962507654213884

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12487.7555397098 \tabularnewline
beta & -0.00720502945848934 \tabularnewline
S.D. & 0.141185931171156 \tabularnewline
T-STAT & -0.0510322055372137 \tabularnewline
p-value & 0.962507654213884 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61330&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12487.7555397098[/C][/ROW]
[ROW][C]beta[/C][C]-0.00720502945848934[/C][/ROW]
[ROW][C]S.D.[/C][C]0.141185931171156[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0510322055372137[/C][/ROW]
[ROW][C]p-value[/C][C]0.962507654213884[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61330&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61330&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)
alpha12487.7555397098
beta-0.00720502945848934
S.D.0.141185931171156
T-STAT-0.0510322055372137
p-value0.962507654213884






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.5623759118246
beta-0.428050181991683
S.D.3.20470656068435
T-STAT-0.133569228222966
p-value0.902199769579942
Lambda1.42805018199168

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.5623759118246 \tabularnewline
beta & -0.428050181991683 \tabularnewline
S.D. & 3.20470656068435 \tabularnewline
T-STAT & -0.133569228222966 \tabularnewline
p-value & 0.902199769579942 \tabularnewline
Lambda & 1.42805018199168 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61330&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.5623759118246[/C][/ROW]
[ROW][C]beta[/C][C]-0.428050181991683[/C][/ROW]
[ROW][C]S.D.[/C][C]3.20470656068435[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.133569228222966[/C][/ROW]
[ROW][C]p-value[/C][C]0.902199769579942[/C][/ROW]
[ROW][C]Lambda[/C][C]1.42805018199168[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61330&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61330&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)
alpha14.5623759118246
beta-0.428050181991683
S.D.3.20470656068435
T-STAT-0.133569228222966
p-value0.902199769579942
Lambda1.42805018199168


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 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')