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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 03 Dec 2010 18:51:57 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/03/t1291402217i3juj3fkchk3uw7.htm/, Retrieved Tue, 07 May 2024 12:38:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104959, Retrieved Tue, 07 May 2024 12:38:24 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

132

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] [W9] [2010-12-03 18:51:57] [9d72585f2b7b60ae977d4816136e1c95] [Current]

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Dataseries X:

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Histogram

Boxplots

14731798,37
16471559,62
15213975,95
17637387,4
17972385,83
16896235,55
16697955,94
19691579,52
15930700,75
17444615,98
17699369,88
15189796,81
15672722,75
17180794,3
17664893,45
17862884,98
16162288,88
17463628,82
16772112,17
19106861,48
16721314,25
18161267,85
18509941,2
17802737,97
16409869,75
17967742,04
20286602,27
19537280,81
18021889,62
20194317,23
19049596,62
20244720,94
21473302,24
19673603,19
21053177,29
20159479,84
18203628,31
21289464,94
20432335,71
17180395,07
15816786,32
15071819,75
14521120,61
15668789,39
14346884,11
13881008,13
15465943,69
14238232,92
13557713,21
16127590,29
16793894,2
16014007,43
16867867,15
16014583,21
15878594,85
18664899,14
17962530,06
17332692,2
19542066,35
17203555,19

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104959&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104959&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	16798113.4666667	1411968.47345382	4959781.15
2	17423454.0083333	981060.414443554	3434138.73
3	19505965.1533333	1436919.61429157	5063432.49
4	16343034.0791667	2454404.38097050	7408456.81
5	16829999.44	1532583.20157358	5984353.14

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 16798113.4666667 & 1411968.47345382 & 4959781.15 \tabularnewline
2 & 17423454.0083333 & 981060.414443554 & 3434138.73 \tabularnewline
3 & 19505965.1533333 & 1436919.61429157 & 5063432.49 \tabularnewline
4 & 16343034.0791667 & 2454404.38097050 & 7408456.81 \tabularnewline
5 & 16829999.44 & 1532583.20157358 & 5984353.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104959&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]16798113.4666667[/C][C]1411968.47345382[/C][C]4959781.15[/C][/ROW]
[ROW][C]2[/C][C]17423454.0083333[/C][C]981060.414443554[/C][C]3434138.73[/C][/ROW]
[ROW][C]3[/C][C]19505965.1533333[/C][C]1436919.61429157[/C][C]5063432.49[/C][/ROW]
[ROW][C]4[/C][C]16343034.0791667[/C][C]2454404.38097050[/C][C]7408456.81[/C][/ROW]
[ROW][C]5[/C][C]16829999.44[/C][C]1532583.20157358[/C][C]5984353.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104959&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	16798113.4666667	1411968.47345382	4959781.15
2	17423454.0083333	981060.414443554	3434138.73
3	19505965.1533333	1436919.61429157	5063432.49
4	16343034.0791667	2454404.38097050	7408456.81
5	16829999.44	1532583.20157358	5984353.14

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4664593.98609432
beta	-0.178434209731379
S.D.	0.228169451635896
T-STAT	-0.782024975087888
p-value	0.491245394020158

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4664593.98609432 \tabularnewline
beta & -0.178434209731379 \tabularnewline
S.D. & 0.228169451635896 \tabularnewline
T-STAT & -0.782024975087888 \tabularnewline
p-value & 0.491245394020158 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104959&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4664593.98609432[/C][/ROW]
[ROW][C]beta[/C][C]-0.178434209731379[/C][/ROW]
[ROW][C]S.D.[/C][C]0.228169451635896[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.782024975087888[/C][/ROW]
[ROW][C]p-value[/C][C]0.491245394020158[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104959&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104959&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4664593.98609432
beta	-0.178434209731379
S.D.	0.228169451635896
T-STAT	-0.782024975087888
p-value	0.491245394020158

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	44.4486516953949
beta	-1.81359087982832
S.D.	2.51279400118558
T-STAT	-0.721742760836199
p-value	0.522620000423112
Lambda	2.81359087982832

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 44.4486516953949 \tabularnewline
beta & -1.81359087982832 \tabularnewline
S.D. & 2.51279400118558 \tabularnewline
T-STAT & -0.721742760836199 \tabularnewline
p-value & 0.522620000423112 \tabularnewline
Lambda & 2.81359087982832 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104959&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]44.4486516953949[/C][/ROW]
[ROW][C]beta[/C][C]-1.81359087982832[/C][/ROW]
[ROW][C]S.D.[/C][C]2.51279400118558[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.721742760836199[/C][/ROW]
[ROW][C]p-value[/C][C]0.522620000423112[/C][/ROW]
[ROW][C]Lambda[/C][C]2.81359087982832[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104959&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104959&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	44.4486516953949
beta	-1.81359087982832
S.D.	2.51279400118558
T-STAT	-0.721742760836199
p-value	0.522620000423112
Lambda	2.81359087982832

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 36 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code