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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

Thu, 05 Jan 2012 11:00:04 -0500

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/Jan/05/t1325779222agwoy3ecz93zwyc.htm/, Retrieved Mon, 06 May 2024 09:24:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=161004, Retrieved Mon, 06 May 2024 09:24:50 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

192

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

-       [Standard Deviation-Mean Plot] [] [2012-01-05 16:00:04] [96d2ae1d8573cbbc1fa343dabe5aa8c1] [Current]
- RMPD    [Exponential Smoothing] [] [2012-01-14 15:37:41] [2f0f353a58a70fd7baf0f5141860d820] 
- RMPD    [Exponential Smoothing] [] [2012-01-14 16:01:10] [2f0f353a58a70fd7baf0f5141860d820] 

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Dataseries X:

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Histogram

Boxplots

6.25
6.23
6.23
6.24
6.28
6.3
6.34
6.27
6.22
6.31
6.33
6.31
6.35
6.33
6.36
6.37
6.33
6.34
6.42
6.42
6.48
6.47
6.5
6.52
6.49
6.51
6.52
6.54
6.59
6.6
6.59
6.58
6.55
6.57
6.61
6.61
6.64
6.59
6.67
6.58
6.66
6.7
6.65
6.65
6.73
6.74
6.74
6.71
6.78
6.83
6.8
6.84
6.81
6.75
6.8
6.84
6.8
6.84
6.79
6.8
6.68
6.82
6.85
6.85
6.85
6.92
6.91
6.94
6.99
7.05
6.98
6.91

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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161004&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161004&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161004&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	6.27583333333333	0.0418782506653259	0.12
2	6.4075	0.0702107217919418	0.19
3	6.56333333333333	0.0407505344824588	0.12
4	6.67166666666667	0.0540762648880489	0.16
5	6.80666666666667	0.0274137766736936	0.0899999999999999
6	6.89583333333333	0.0959600611365653	0.37

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6.27583333333333 & 0.0418782506653259 & 0.12 \tabularnewline
2 & 6.4075 & 0.0702107217919418 & 0.19 \tabularnewline
3 & 6.56333333333333 & 0.0407505344824588 & 0.12 \tabularnewline
4 & 6.67166666666667 & 0.0540762648880489 & 0.16 \tabularnewline
5 & 6.80666666666667 & 0.0274137766736936 & 0.0899999999999999 \tabularnewline
6 & 6.89583333333333 & 0.0959600611365653 & 0.37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161004&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]6.27583333333333[/C][C]0.0418782506653259[/C][C]0.12[/C][/ROW]
[ROW][C]2[/C][C]6.4075[/C][C]0.0702107217919418[/C][C]0.19[/C][/ROW]
[ROW][C]3[/C][C]6.56333333333333[/C][C]0.0407505344824588[/C][C]0.12[/C][/ROW]
[ROW][C]4[/C][C]6.67166666666667[/C][C]0.0540762648880489[/C][C]0.16[/C][/ROW]
[ROW][C]5[/C][C]6.80666666666667[/C][C]0.0274137766736936[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]6[/C][C]6.89583333333333[/C][C]0.0959600611365653[/C][C]0.37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161004&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161004&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	6.27583333333333	0.0418782506653259	0.12
2	6.4075	0.0702107217919418	0.19
3	6.56333333333333	0.0407505344824588	0.12
4	6.67166666666667	0.0540762648880489	0.16
5	6.80666666666667	0.0274137766736936	0.0899999999999999
6	6.89583333333333	0.0959600611365653	0.37

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.139117486868768
beta	0.0294035847517251
S.D.	0.0501555024329506
T-STAT	0.586248433878869
p-value	0.589195077339655

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.139117486868768 \tabularnewline
beta & 0.0294035847517251 \tabularnewline
S.D. & 0.0501555024329506 \tabularnewline
T-STAT & 0.586248433878869 \tabularnewline
p-value & 0.589195077339655 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161004&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.139117486868768[/C][/ROW]
[ROW][C]beta[/C][C]0.0294035847517251[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0501555024329506[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.586248433878869[/C][/ROW]
[ROW][C]p-value[/C][C]0.589195077339655[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161004&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161004&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	-0.139117486868768
beta	0.0294035847517251
S.D.	0.0501555024329506
T-STAT	0.586248433878869
p-value	0.589195077339655

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-6.18425917297386
beta	1.69736052267331
S.D.	6.11092276749565
T-STAT	0.277758464188365
p-value	0.794962997307885
Lambda	-0.697360522673306

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.18425917297386 \tabularnewline
beta & 1.69736052267331 \tabularnewline
S.D. & 6.11092276749565 \tabularnewline
T-STAT & 0.277758464188365 \tabularnewline
p-value & 0.794962997307885 \tabularnewline
Lambda & -0.697360522673306 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161004&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.18425917297386[/C][/ROW]
[ROW][C]beta[/C][C]1.69736052267331[/C][/ROW]
[ROW][C]S.D.[/C][C]6.11092276749565[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.277758464188365[/C][/ROW]
[ROW][C]p-value[/C][C]0.794962997307885[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.697360522673306[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161004&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161004&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	-6.18425917297386
beta	1.69736052267331
S.D.	6.11092276749565
T-STAT	0.277758464188365
p-value	0.794962997307885
Lambda	-0.697360522673306

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code