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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 08 Aug 2012 05:22:39 -0400

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/2012/Aug/08/t1344417793zy0lyiodkn1r9v4.htm/, Retrieved Fri, 03 May 2024 20:42:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=169097, Retrieved Fri, 03 May 2024 20:42:07 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Van der Smissen Britt

Estimated Impact

127

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

-     [Univariate Data Series] [Tijdreeks A-Stap 1] [2012-08-07 06:32:31] [e7a19f46406e1c79b79b562d86e5e00b]
- RMP   [Histogram] [Tijdreeks A-Stap 3] [2012-08-07 06:54:24] [e7a19f46406e1c79b79b562d86e5e00b]
- RMP       [Standard Deviation-Mean Plot] [Tijdreeks A-Stap 26] [2012-08-08 09:22:39] [b3616d670e39c9c081ac68ec1f5d1a32] [Current]

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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	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169097&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169097&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169097&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	95373.4166666667	2855.15369617607	8516
2	93846.1666666667	3394.64363729721	10795
3	90488.9166666667	3831.80098786537	10795
4	87956.8333333333	4662.99170126439	15391
5	79695.9166666667	3953.92020562179	13426
6	67315.9166666667	6197.51695818331	21595
7	45913.1666666667	4896.94160273594	17351
8	29962.5833333333	3437.51311953419	12444
9	23342.25	4549.31363704261	17035
10	24590.8333333333	4633.53053755171	17351

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 95373.4166666667 & 2855.15369617607 & 8516 \tabularnewline
2 & 93846.1666666667 & 3394.64363729721 & 10795 \tabularnewline
3 & 90488.9166666667 & 3831.80098786537 & 10795 \tabularnewline
4 & 87956.8333333333 & 4662.99170126439 & 15391 \tabularnewline
5 & 79695.9166666667 & 3953.92020562179 & 13426 \tabularnewline
6 & 67315.9166666667 & 6197.51695818331 & 21595 \tabularnewline
7 & 45913.1666666667 & 4896.94160273594 & 17351 \tabularnewline
8 & 29962.5833333333 & 3437.51311953419 & 12444 \tabularnewline
9 & 23342.25 & 4549.31363704261 & 17035 \tabularnewline
10 & 24590.8333333333 & 4633.53053755171 & 17351 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169097&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]95373.4166666667[/C][C]2855.15369617607[/C][C]8516[/C][/ROW]
[ROW][C]2[/C][C]93846.1666666667[/C][C]3394.64363729721[/C][C]10795[/C][/ROW]
[ROW][C]3[/C][C]90488.9166666667[/C][C]3831.80098786537[/C][C]10795[/C][/ROW]
[ROW][C]4[/C][C]87956.8333333333[/C][C]4662.99170126439[/C][C]15391[/C][/ROW]
[ROW][C]5[/C][C]79695.9166666667[/C][C]3953.92020562179[/C][C]13426[/C][/ROW]
[ROW][C]6[/C][C]67315.9166666667[/C][C]6197.51695818331[/C][C]21595[/C][/ROW]
[ROW][C]7[/C][C]45913.1666666667[/C][C]4896.94160273594[/C][C]17351[/C][/ROW]
[ROW][C]8[/C][C]29962.5833333333[/C][C]3437.51311953419[/C][C]12444[/C][/ROW]
[ROW][C]9[/C][C]23342.25[/C][C]4549.31363704261[/C][C]17035[/C][/ROW]
[ROW][C]10[/C][C]24590.8333333333[/C][C]4633.53053755171[/C][C]17351[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169097&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169097&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	95373.4166666667	2855.15369617607	8516
2	93846.1666666667	3394.64363729721	10795
3	90488.9166666667	3831.80098786537	10795
4	87956.8333333333	4662.99170126439	15391
5	79695.9166666667	3953.92020562179	13426
6	67315.9166666667	6197.51695818331	21595
7	45913.1666666667	4896.94160273594	17351
8	29962.5833333333	3437.51311953419	12444
9	23342.25	4549.31363704261	17035
10	24590.8333333333	4633.53053755171	17351

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4872.01800622897
beta	-0.00987782657570734
S.D.	0.0107063983005607
T-STAT	-0.922609667453717
p-value	0.383192441117397

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4872.01800622897 \tabularnewline
beta & -0.00987782657570734 \tabularnewline
S.D. & 0.0107063983005607 \tabularnewline
T-STAT & -0.922609667453717 \tabularnewline
p-value & 0.383192441117397 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169097&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4872.01800622897[/C][/ROW]
[ROW][C]beta[/C][C]-0.00987782657570734[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0107063983005607[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.922609667453717[/C][/ROW]
[ROW][C]p-value[/C][C]0.383192441117397[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169097&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169097&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	4872.01800622897
beta	-0.00987782657570734
S.D.	0.0107063983005607
T-STAT	-0.922609667453717
p-value	0.383192441117397

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	9.48268417013394
beta	-0.105413692737901
S.D.	0.130872787069248
T-STAT	-0.80546685906616
p-value	0.443829715932085
Lambda	1.1054136927379

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.48268417013394 \tabularnewline
beta & -0.105413692737901 \tabularnewline
S.D. & 0.130872787069248 \tabularnewline
T-STAT & -0.80546685906616 \tabularnewline
p-value & 0.443829715932085 \tabularnewline
Lambda & 1.1054136927379 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169097&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.48268417013394[/C][/ROW]
[ROW][C]beta[/C][C]-0.105413692737901[/C][/ROW]
[ROW][C]S.D.[/C][C]0.130872787069248[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.80546685906616[/C][/ROW]
[ROW][C]p-value[/C][C]0.443829715932085[/C][/ROW]
[ROW][C]Lambda[/C][C]1.1054136927379[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169097&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169097&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	9.48268417013394
beta	-0.105413692737901
S.D.	0.130872787069248
T-STAT	-0.80546685906616
p-value	0.443829715932085
Lambda	1.1054136927379

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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