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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

Sun, 30 Nov 2008 09:10:30 -0700

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/2008/Nov/30/t122806147293c6py9pnjm6zva.htm/, Retrieved Sun, 19 May 2024 11:14:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26590, Retrieved Sun, 19 May 2024 11:14:53 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

174

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
- RMPD    [Standard Deviation-Mean Plot] [Taak 7 sdm belgie] [2008-11-30 16:10:30] [bda7fba231d49184c6a1b627868bbb81] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=26590&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=26590&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26590&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	489452.25	21672.9363858092	41943
2	470586	6662.34603324284	14798
3	488097.25	38169.466395493	70468
4	515759.25	6190.44351534417	13736
5	513808.25	5028.60228260962	10037
6	539216.25	41059.6004151283	78857
7	561397	13330.4188981442	30648
8	555527.5	8503.037516088	18726
9	570919.25	36821.2552508738	74101
10	603389.5	9934.04766447192	18446
11	584443	8047.15382397197	17765
12	596525.75	32834.5384656157	61428
13	608223.5	15304.2564994187	32828
14	584371	8914.77257141202	19203
15	597773.25	28881.7952855543	53034

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 489452.25 & 21672.9363858092 & 41943 \tabularnewline
2 & 470586 & 6662.34603324284 & 14798 \tabularnewline
3 & 488097.25 & 38169.466395493 & 70468 \tabularnewline
4 & 515759.25 & 6190.44351534417 & 13736 \tabularnewline
5 & 513808.25 & 5028.60228260962 & 10037 \tabularnewline
6 & 539216.25 & 41059.6004151283 & 78857 \tabularnewline
7 & 561397 & 13330.4188981442 & 30648 \tabularnewline
8 & 555527.5 & 8503.037516088 & 18726 \tabularnewline
9 & 570919.25 & 36821.2552508738 & 74101 \tabularnewline
10 & 603389.5 & 9934.04766447192 & 18446 \tabularnewline
11 & 584443 & 8047.15382397197 & 17765 \tabularnewline
12 & 596525.75 & 32834.5384656157 & 61428 \tabularnewline
13 & 608223.5 & 15304.2564994187 & 32828 \tabularnewline
14 & 584371 & 8914.77257141202 & 19203 \tabularnewline
15 & 597773.25 & 28881.7952855543 & 53034 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26590&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]489452.25[/C][C]21672.9363858092[/C][C]41943[/C][/ROW]
[ROW][C]2[/C][C]470586[/C][C]6662.34603324284[/C][C]14798[/C][/ROW]
[ROW][C]3[/C][C]488097.25[/C][C]38169.466395493[/C][C]70468[/C][/ROW]
[ROW][C]4[/C][C]515759.25[/C][C]6190.44351534417[/C][C]13736[/C][/ROW]
[ROW][C]5[/C][C]513808.25[/C][C]5028.60228260962[/C][C]10037[/C][/ROW]
[ROW][C]6[/C][C]539216.25[/C][C]41059.6004151283[/C][C]78857[/C][/ROW]
[ROW][C]7[/C][C]561397[/C][C]13330.4188981442[/C][C]30648[/C][/ROW]
[ROW][C]8[/C][C]555527.5[/C][C]8503.037516088[/C][C]18726[/C][/ROW]
[ROW][C]9[/C][C]570919.25[/C][C]36821.2552508738[/C][C]74101[/C][/ROW]
[ROW][C]10[/C][C]603389.5[/C][C]9934.04766447192[/C][C]18446[/C][/ROW]
[ROW][C]11[/C][C]584443[/C][C]8047.15382397197[/C][C]17765[/C][/ROW]
[ROW][C]12[/C][C]596525.75[/C][C]32834.5384656157[/C][C]61428[/C][/ROW]
[ROW][C]13[/C][C]608223.5[/C][C]15304.2564994187[/C][C]32828[/C][/ROW]
[ROW][C]14[/C][C]584371[/C][C]8914.77257141202[/C][C]19203[/C][/ROW]
[ROW][C]15[/C][C]597773.25[/C][C]28881.7952855543[/C][C]53034[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26590&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26590&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	489452.25	21672.9363858092	41943
2	470586	6662.34603324284	14798
3	488097.25	38169.466395493	70468
4	515759.25	6190.44351534417	13736
5	513808.25	5028.60228260962	10037
6	539216.25	41059.6004151283	78857
7	561397	13330.4188981442	30648
8	555527.5	8503.037516088	18726
9	570919.25	36821.2552508738	74101
10	603389.5	9934.04766447192	18446
11	584443	8047.15382397197	17765
12	596525.75	32834.5384656157	61428
13	608223.5	15304.2564994187	32828
14	584371	8914.77257141202	19203
15	597773.25	28881.7952855543	53034

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	13464.0181250537
beta	0.00958928734942118
S.D.	0.0790283684068637
T-STAT	0.121339811800902
p-value	0.90527739084316

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 13464.0181250537 \tabularnewline
beta & 0.00958928734942118 \tabularnewline
S.D. & 0.0790283684068637 \tabularnewline
T-STAT & 0.121339811800902 \tabularnewline
p-value & 0.90527739084316 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26590&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13464.0181250537[/C][/ROW]
[ROW][C]beta[/C][C]0.00958928734942118[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0790283684068637[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.121339811800902[/C][/ROW]
[ROW][C]p-value[/C][C]0.90527739084316[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26590&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26590&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	13464.0181250537
beta	0.00958928734942118
S.D.	0.0790283684068637
T-STAT	0.121339811800902
p-value	0.90527739084316

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-6.03772392739496
beta	1.18243168439341
S.D.	2.37151728228363
T-STAT	0.498597118910638
p-value	0.626392666454881
Lambda	-0.182431684393406

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.03772392739496 \tabularnewline
beta & 1.18243168439341 \tabularnewline
S.D. & 2.37151728228363 \tabularnewline
T-STAT & 0.498597118910638 \tabularnewline
p-value & 0.626392666454881 \tabularnewline
Lambda & -0.182431684393406 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26590&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.03772392739496[/C][/ROW]
[ROW][C]beta[/C][C]1.18243168439341[/C][/ROW]
[ROW][C]S.D.[/C][C]2.37151728228363[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.498597118910638[/C][/ROW]
[ROW][C]p-value[/C][C]0.626392666454881[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.182431684393406[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26590&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26590&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	-6.03772392739496
beta	1.18243168439341
S.D.	2.37151728228363
T-STAT	0.498597118910638
p-value	0.626392666454881
Lambda	-0.182431684393406

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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