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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

Fri, 03 Aug 2012 08:12:31 -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/03/t1343996005mp17ho9vy6tl9wb.htm/, Retrieved Mon, 29 Apr 2024 19:45:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=168982, Retrieved Mon, 29 Apr 2024 19:45:10 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Selleslaghs Tessa

Estimated Impact

108

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

-       [Standard Deviation-Mean Plot] [tijdreeks A stap 26] [2012-08-03 12:12:31] [5f178b5bce8a01d64692a8a5c649399b] [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	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168982&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168982&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168982&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3012.25	90.1747041732174	269
2	2964	107.204138319037	341
3	2858	121.050703125892	341
4	2778	147.256733138235	486
5	2517.08333333333	124.866079776647	424
6	2126.08333333333	195.731940224999	682
7	1450.08333333333	154.672944295276	548
8	946.333333333333	108.552738195298	393
9	737.25	143.675850441193	538
10	776.666666666667	146.341650899116	548

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3012.25 & 90.1747041732174 & 269 \tabularnewline
2 & 2964 & 107.204138319037 & 341 \tabularnewline
3 & 2858 & 121.050703125892 & 341 \tabularnewline
4 & 2778 & 147.256733138235 & 486 \tabularnewline
5 & 2517.08333333333 & 124.866079776647 & 424 \tabularnewline
6 & 2126.08333333333 & 195.731940224999 & 682 \tabularnewline
7 & 1450.08333333333 & 154.672944295276 & 548 \tabularnewline
8 & 946.333333333333 & 108.552738195298 & 393 \tabularnewline
9 & 737.25 & 143.675850441193 & 538 \tabularnewline
10 & 776.666666666667 & 146.341650899116 & 548 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168982&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]3012.25[/C][C]90.1747041732174[/C][C]269[/C][/ROW]
[ROW][C]2[/C][C]2964[/C][C]107.204138319037[/C][C]341[/C][/ROW]
[ROW][C]3[/C][C]2858[/C][C]121.050703125892[/C][C]341[/C][/ROW]
[ROW][C]4[/C][C]2778[/C][C]147.256733138235[/C][C]486[/C][/ROW]
[ROW][C]5[/C][C]2517.08333333333[/C][C]124.866079776647[/C][C]424[/C][/ROW]
[ROW][C]6[/C][C]2126.08333333333[/C][C]195.731940224999[/C][C]682[/C][/ROW]
[ROW][C]7[/C][C]1450.08333333333[/C][C]154.672944295276[/C][C]548[/C][/ROW]
[ROW][C]8[/C][C]946.333333333333[/C][C]108.552738195298[/C][C]393[/C][/ROW]
[ROW][C]9[/C][C]737.25[/C][C]143.675850441193[/C][C]538[/C][/ROW]
[ROW][C]10[/C][C]776.666666666667[/C][C]146.341650899116[/C][C]548[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168982&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168982&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	3012.25	90.1747041732174	269
2	2964	107.204138319037	341
3	2858	121.050703125892	341
4	2778	147.256733138235	486
5	2517.08333333333	124.866079776647	424
6	2126.08333333333	195.731940224999	682
7	1450.08333333333	154.672944295276	548
8	946.333333333333	108.552738195298	393
9	737.25	143.675850441193	538
10	776.666666666667	146.341650899116	548

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	153.868234789518
beta	-0.00987589677082545
S.D.	0.0107064252005555
T-STAT	-0.922427102027767
p-value	0.383282029591869

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 153.868234789518 \tabularnewline
beta & -0.00987589677082545 \tabularnewline
S.D. & 0.0107064252005555 \tabularnewline
T-STAT & -0.922427102027767 \tabularnewline
p-value & 0.383282029591869 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168982&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]153.868234789518[/C][/ROW]
[ROW][C]beta[/C][C]-0.00987589677082545[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0107064252005555[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.922427102027767[/C][/ROW]
[ROW][C]p-value[/C][C]0.383282029591869[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168982&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168982&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	153.868234789518
beta	-0.00987589677082545
S.D.	0.0107064252005555
T-STAT	-0.922427102027767
p-value	0.383282029591869

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	5.66309867730098
beta	-0.105383959130794
S.D.	0.130880946156764
T-STAT	-0.805189465887338
p-value	0.443980778949375
Lambda	1.10538395913079

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.66309867730098 \tabularnewline
beta & -0.105383959130794 \tabularnewline
S.D. & 0.130880946156764 \tabularnewline
T-STAT & -0.805189465887338 \tabularnewline
p-value & 0.443980778949375 \tabularnewline
Lambda & 1.10538395913079 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168982&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.66309867730098[/C][/ROW]
[ROW][C]beta[/C][C]-0.105383959130794[/C][/ROW]
[ROW][C]S.D.[/C][C]0.130880946156764[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.805189465887338[/C][/ROW]
[ROW][C]p-value[/C][C]0.443980778949375[/C][/ROW]
[ROW][C]Lambda[/C][C]1.10538395913079[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168982&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168982&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	5.66309867730098
beta	-0.105383959130794
S.D.	0.130880946156764
T-STAT	-0.805189465887338
p-value	0.443980778949375
Lambda	1.10538395913079

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; 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