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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, 03 Dec 2010 15:16:50 +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/03/t1291389315udyxbmbkfi8ninp.htm/, Retrieved Tue, 07 May 2024 20:59:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104860, Retrieved Tue, 07 May 2024 20:59:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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] [Stationarity in t...] [2010-12-03 15:16:50] [18ef3d986e8801a4b28404e69e5bf56b] [Current]
-   PD        [Standard Deviation-Mean Plot] [SMP - niet werken...] [2010-12-10 08:43:39] [aeb27d5c05332f2e597ad139ee63fbe4]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
44164
40399
36763
37903
35532
35533
32110
33374
35462
33508
36080
34560
38737
38144
37594
36424
36843
37246
38661
40454
44928
48441
48140
45998
47369
49554
47510
44873
45344
42413
36912
43452
42142
44382
43636
44167
44423
42868
43908
42013
38846
35087
33026
34646
37135
37985
43121
43722
43630
42234
39351
39327
35704
30466
28155
29257
29998
32529
34787
33855
34556
31348
30805
28353
24514
21106
21346
23335
24379
26290
30084
29429
30632
27349
27264
27474
24482
21453
18788
19282
19713
21917
23812
23785
24696
24562
23580
24939
23899
21454
19761
19815
20780
23462
25005
24725
26198
27543
26471
26558
25317
22896

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104860&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104860&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104860&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
136282.33333333333306.9311050176612054
240967.54569.7156565609412017
344312.83333333333201.2548060617312642
439731.66666666674099.696271085411397
534941.08333333335203.0691721911715475
627128.754276.9165427485713450
723829.253772.0811503128411844
823056.52030.343253559045244

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 36282.3333333333 & 3306.93110501766 & 12054 \tabularnewline
2 & 40967.5 & 4569.71565656094 & 12017 \tabularnewline
3 & 44312.8333333333 & 3201.25480606173 & 12642 \tabularnewline
4 & 39731.6666666667 & 4099.6962710854 & 11397 \tabularnewline
5 & 34941.0833333333 & 5203.06917219117 & 15475 \tabularnewline
6 & 27128.75 & 4276.91654274857 & 13450 \tabularnewline
7 & 23829.25 & 3772.08115031284 & 11844 \tabularnewline
8 & 23056.5 & 2030.34325355904 & 5244 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104860&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]36282.3333333333[/C][C]3306.93110501766[/C][C]12054[/C][/ROW]
[ROW][C]2[/C][C]40967.5[/C][C]4569.71565656094[/C][C]12017[/C][/ROW]
[ROW][C]3[/C][C]44312.8333333333[/C][C]3201.25480606173[/C][C]12642[/C][/ROW]
[ROW][C]4[/C][C]39731.6666666667[/C][C]4099.6962710854[/C][C]11397[/C][/ROW]
[ROW][C]5[/C][C]34941.0833333333[/C][C]5203.06917219117[/C][C]15475[/C][/ROW]
[ROW][C]6[/C][C]27128.75[/C][C]4276.91654274857[/C][C]13450[/C][/ROW]
[ROW][C]7[/C][C]23829.25[/C][C]3772.08115031284[/C][C]11844[/C][/ROW]
[ROW][C]8[/C][C]23056.5[/C][C]2030.34325355904[/C][C]5244[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104860&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104860&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
136282.33333333333306.9311050176612054
240967.54569.7156565609412017
344312.83333333333201.2548060617312642
439731.66666666674099.696271085411397
534941.08333333335203.0691721911715475
627128.754276.9165427485713450
723829.253772.0811503128411844
823056.52030.343253559045244






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2534.02280273091
beta0.0376977934400476
S.D.0.0462464198306885
T-STAT0.815150525771767
p-value0.44612855248833

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2534.02280273091 \tabularnewline
beta & 0.0376977934400476 \tabularnewline
S.D. & 0.0462464198306885 \tabularnewline
T-STAT & 0.815150525771767 \tabularnewline
p-value & 0.44612855248833 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104860&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2534.02280273091[/C][/ROW]
[ROW][C]beta[/C][C]0.0376977934400476[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0462464198306885[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.815150525771767[/C][/ROW]
[ROW][C]p-value[/C][C]0.44612855248833[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104860&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104860&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)
alpha2534.02280273091
beta0.0376977934400476
S.D.0.0462464198306885
T-STAT0.815150525771767
p-value0.44612855248833






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.36426495624384
beta0.466044556952857
S.D.0.423535652752561
T-STAT1.10036676705734
p-value0.313348583231910
Lambda0.533955443047142

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.36426495624384 \tabularnewline
beta & 0.466044556952857 \tabularnewline
S.D. & 0.423535652752561 \tabularnewline
T-STAT & 1.10036676705734 \tabularnewline
p-value & 0.313348583231910 \tabularnewline
Lambda & 0.533955443047142 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104860&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.36426495624384[/C][/ROW]
[ROW][C]beta[/C][C]0.466044556952857[/C][/ROW]
[ROW][C]S.D.[/C][C]0.423535652752561[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.10036676705734[/C][/ROW]
[ROW][C]p-value[/C][C]0.313348583231910[/C][/ROW]
[ROW][C]Lambda[/C][C]0.533955443047142[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104860&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104860&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)
alpha3.36426495624384
beta0.466044556952857
S.D.0.423535652752561
T-STAT1.10036676705734
p-value0.313348583231910
Lambda0.533955443047142


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ; par2 = 0 ; 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')