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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 computationSun, 19 Dec 2010 16:57:18 +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/19/t129277827851ayebbslbukocj.htm/, Retrieved Sun, 05 May 2024 06:56:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112624, Retrieved Sun, 05 May 2024 06:56:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

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] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD    [Standard Deviation-Mean Plot] [Workshop 9, SMP] [2010-12-05 19:10:21] [3635fb7041b1998c5a1332cf9de22bce]
-    D      [Standard Deviation-Mean Plot] [Paper SDMP] [2010-12-19 16:22:55] [3635fb7041b1998c5a1332cf9de22bce]
-    D          [Standard Deviation-Mean Plot] [Paper SDMP werklozen] [2010-12-19 16:57:18] [99c051a77087383325372ff23bc64341] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
631923
654294
671833
586840
600969
625568
558110
630577
628654
603184
656255
600730
670326
678423
641502
625311
628177
589767
582471
636248
599885
621694
637406
595994
696308
674201
648861
649605
672392
598396
613177
638104
615632
634465
638686
604243
706669
677185
644328
664825
605707
600136
612166
599659
634210
618234
613576
627200
668973
651479
619661
644260
579936
601752
595376
588902
634341
594305
606200
610926
633685
639696
659451
593248
606677
599434
569578
629873
613438
604172
658328
612633
707372
739770
777535
685030
730234
714154
630872
719492
677023
679272
718317
645672

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112624&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112624&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112624&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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1620744.7532300.6897396803113723
2625600.33333333330151.423642955495952
3640339.16666666730026.685285632697912
4633657.91666666733732.1731463338107010
5616342.58333333327745.007237857989037
6618351.08333333326751.118975604989873
7702061.91666666740830.5187896111146663

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 620744.75 & 32300.6897396803 & 113723 \tabularnewline
2 & 625600.333333333 & 30151.4236429554 & 95952 \tabularnewline
3 & 640339.166666667 & 30026.6852856326 & 97912 \tabularnewline
4 & 633657.916666667 & 33732.1731463338 & 107010 \tabularnewline
5 & 616342.583333333 & 27745.0072378579 & 89037 \tabularnewline
6 & 618351.083333333 & 26751.1189756049 & 89873 \tabularnewline
7 & 702061.916666667 & 40830.5187896111 & 146663 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112624&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]620744.75[/C][C]32300.6897396803[/C][C]113723[/C][/ROW]
[ROW][C]2[/C][C]625600.333333333[/C][C]30151.4236429554[/C][C]95952[/C][/ROW]
[ROW][C]3[/C][C]640339.166666667[/C][C]30026.6852856326[/C][C]97912[/C][/ROW]
[ROW][C]4[/C][C]633657.916666667[/C][C]33732.1731463338[/C][C]107010[/C][/ROW]
[ROW][C]5[/C][C]616342.583333333[/C][C]27745.0072378579[/C][C]89037[/C][/ROW]
[ROW][C]6[/C][C]618351.083333333[/C][C]26751.1189756049[/C][C]89873[/C][/ROW]
[ROW][C]7[/C][C]702061.916666667[/C][C]40830.5187896111[/C][C]146663[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112624&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112624&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
1620744.7532300.6897396803113723
2625600.33333333330151.423642955495952
3640339.16666666730026.685285632697912
4633657.91666666733732.1731463338107010
5616342.58333333327745.007237857989037
6618351.08333333326751.118975604989873
7702061.91666666740830.5187896111146663






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-57981.430047286
beta0.140765956310623
S.D.0.0307860232641059
T-STAT4.57239816598026
p-value0.00598879505047163

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -57981.430047286 \tabularnewline
beta & 0.140765956310623 \tabularnewline
S.D. & 0.0307860232641059 \tabularnewline
T-STAT & 4.57239816598026 \tabularnewline
p-value & 0.00598879505047163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112624&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-57981.430047286[/C][/ROW]
[ROW][C]beta[/C][C]0.140765956310623[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0307860232641059[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.57239816598026[/C][/ROW]
[ROW][C]p-value[/C][C]0.00598879505047163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112624&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112624&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-57981.430047286
beta0.140765956310623
S.D.0.0307860232641059
T-STAT4.57239816598026
p-value0.00598879505047163






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-25.844185270702
beta2.70876904570701
S.D.0.671180765743711
T-STAT4.03582638829872
p-value0.00996368923020233
Lambda-1.70876904570701

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -25.844185270702 \tabularnewline
beta & 2.70876904570701 \tabularnewline
S.D. & 0.671180765743711 \tabularnewline
T-STAT & 4.03582638829872 \tabularnewline
p-value & 0.00996368923020233 \tabularnewline
Lambda & -1.70876904570701 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112624&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-25.844185270702[/C][/ROW]
[ROW][C]beta[/C][C]2.70876904570701[/C][/ROW]
[ROW][C]S.D.[/C][C]0.671180765743711[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.03582638829872[/C][/ROW]
[ROW][C]p-value[/C][C]0.00996368923020233[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.70876904570701[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112624&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112624&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-25.844185270702
beta2.70876904570701
S.D.0.671180765743711
T-STAT4.03582638829872
p-value0.00996368923020233
Lambda-1.70876904570701


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')