FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 20 Dec 2008 14:52:27 -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/2008/Dec/20/t1229809997i62egfbx7gywz2g.htm/, Retrieved Sun, 19 May 2024 10:24:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35453, Retrieved Sun, 19 May 2024 10:24:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact233

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]
F RMP   [Standard Deviation-Mean Plot] [sd mean plot step 1] [2008-12-08 10:57:55] [7173087adebe3e3a714c80ea2417b3eb]
-    D      [Standard Deviation-Mean Plot] [SMP werkloosheid] [2008-12-20 21:52:27] [9ba97de59bb4d2edf0cfeac4ca7d2b73] [Current]
-    D        [Standard Deviation-Mean Plot] [SMP inschr. wagens] [2008-12-21 13:19:40] [8b0d202c3a0c4ea223fd8b8e731dacd8]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
467037
460070
447988
442867
436087
431328
484015
509673
512927
502831
470984
471067
476049
474605
470439
461251
454724
455626
516847
525192
522975
518585
509239
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258

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=35453&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=35453&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35453&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
1469739.528068.080740487981599
2491480.83333333328234.064982291270468
3538140.530455.563407275078857
4576612.08333333329164.685309021375951
5596397.41666666721872.304573502661428
6588261.16666666722629.620286989668535
7532458.83333333321778.072975246365929

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 469739.5 & 28068.0807404879 & 81599 \tabularnewline
2 & 491480.833333333 & 28234.0649822912 & 70468 \tabularnewline
3 & 538140.5 & 30455.5634072750 & 78857 \tabularnewline
4 & 576612.083333333 & 29164.6853090213 & 75951 \tabularnewline
5 & 596397.416666667 & 21872.3045735026 & 61428 \tabularnewline
6 & 588261.166666667 & 22629.6202869896 & 68535 \tabularnewline
7 & 532458.833333333 & 21778.0729752463 & 65929 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35453&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]469739.5[/C][C]28068.0807404879[/C][C]81599[/C][/ROW]
[ROW][C]2[/C][C]491480.833333333[/C][C]28234.0649822912[/C][C]70468[/C][/ROW]
[ROW][C]3[/C][C]538140.5[/C][C]30455.5634072750[/C][C]78857[/C][/ROW]
[ROW][C]4[/C][C]576612.083333333[/C][C]29164.6853090213[/C][C]75951[/C][/ROW]
[ROW][C]5[/C][C]596397.416666667[/C][C]21872.3045735026[/C][C]61428[/C][/ROW]
[ROW][C]6[/C][C]588261.166666667[/C][C]22629.6202869896[/C][C]68535[/C][/ROW]
[ROW][C]7[/C][C]532458.833333333[/C][C]21778.0729752463[/C][C]65929[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35453&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35453&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
1469739.528068.080740487981599
2491480.83333333328234.064982291270468
3538140.530455.563407275078857
4576612.08333333329164.685309021375951
5596397.41666666721872.304573502661428
6588261.16666666722629.620286989668535
7532458.83333333321778.072975246365929






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha45526.521156634
beta-0.0359820736728102
S.D.0.030743495510084
T-STAT-1.17039630906668
p-value0.294584945075977

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 45526.521156634 \tabularnewline
beta & -0.0359820736728102 \tabularnewline
S.D. & 0.030743495510084 \tabularnewline
T-STAT & -1.17039630906668 \tabularnewline
p-value & 0.294584945075977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35453&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]45526.521156634[/C][/ROW]
[ROW][C]beta[/C][C]-0.0359820736728102[/C][/ROW]
[ROW][C]S.D.[/C][C]0.030743495510084[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.17039630906668[/C][/ROW]
[ROW][C]p-value[/C][C]0.294584945075977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35453&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35453&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)
alpha45526.521156634
beta-0.0359820736728102
S.D.0.030743495510084
T-STAT-1.17039630906668
p-value0.294584945075977






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha20.1913070085332
beta-0.760163097868402
S.D.0.638946078968502
T-STAT-1.18971400387274
p-value0.287566910329447
Lambda1.7601630978684

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 20.1913070085332 \tabularnewline
beta & -0.760163097868402 \tabularnewline
S.D. & 0.638946078968502 \tabularnewline
T-STAT & -1.18971400387274 \tabularnewline
p-value & 0.287566910329447 \tabularnewline
Lambda & 1.7601630978684 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35453&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]20.1913070085332[/C][/ROW]
[ROW][C]beta[/C][C]-0.760163097868402[/C][/ROW]
[ROW][C]S.D.[/C][C]0.638946078968502[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.18971400387274[/C][/ROW]
[ROW][C]p-value[/C][C]0.287566910329447[/C][/ROW]
[ROW][C]Lambda[/C][C]1.7601630978684[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35453&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35453&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)
alpha20.1913070085332
beta-0.760163097868402
S.D.0.638946078968502
T-STAT-1.18971400387274
p-value0.287566910329447
Lambda1.7601630978684


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')