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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

Mon, 28 Apr 2014 04:46:31 -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/2014/Apr/28/t13986748178dyzlytfwabtqqo.htm/, Retrieved Fri, 17 May 2024 06:59:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234645, Retrieved Fri, 17 May 2024 06:59:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

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] [] [2014-04-28 08:46:31] [aa1782934d0b081042c527b5804d60cd] [Current]
- RMP     [Exponential Smoothing] [] [2014-05-19 10:21:01] [5a890716362322f69e4b14754880fe54] 

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Dataseries X:

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Histogram

Boxplots

-2
0
1
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0
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5
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10
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-1
1

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
R Engine error message	Error in summary(lnlm1)$coefficients[2, 2] : subscript out of bounds Calls: table.element -> paste Execution halted

\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
R Engine error message & Error in summary(lnlm1)$coefficients[2, 2] : subscript out of bounds
Calls: table.element -> paste
Execution halted
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234645&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]
[ROW][C]R Engine error message[/C][C]Error in summary(lnlm1)$coefficients[2, 2] : subscript out of bounds
Calls: table.element -> paste
Execution halted
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234645&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234645&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
R Engine error message	Error in summary(lnlm1)$coefficients[2, 2] : subscript out of bounds Calls: table.element -> paste Execution halted

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-6.66666666666667	6.48541487189571	21
2	-10.9166666666667	6.98645876396662	20
3	-1.25	6.52442961630991	19
4	1.66666666666667	6.49941722329197	18
5	-12.3333333333333	5.12273601139315	16
6	-10.5	7.86823302330904	23

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -6.66666666666667 & 6.48541487189571 & 21 \tabularnewline
2 & -10.9166666666667 & 6.98645876396662 & 20 \tabularnewline
3 & -1.25 & 6.52442961630991 & 19 \tabularnewline
4 & 1.66666666666667 & 6.49941722329197 & 18 \tabularnewline
5 & -12.3333333333333 & 5.12273601139315 & 16 \tabularnewline
6 & -10.5 & 7.86823302330904 & 23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234645&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]-6.66666666666667[/C][C]6.48541487189571[/C][C]21[/C][/ROW]
[ROW][C]2[/C][C]-10.9166666666667[/C][C]6.98645876396662[/C][C]20[/C][/ROW]
[ROW][C]3[/C][C]-1.25[/C][C]6.52442961630991[/C][C]19[/C][/ROW]
[ROW][C]4[/C][C]1.66666666666667[/C][C]6.49941722329197[/C][C]18[/C][/ROW]
[ROW][C]5[/C][C]-12.3333333333333[/C][C]5.12273601139315[/C][C]16[/C][/ROW]
[ROW][C]6[/C][C]-10.5[/C][C]7.86823302330904[/C][C]23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234645&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234645&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	-6.66666666666667	6.48541487189571	21
2	-10.9166666666667	6.98645876396662	20
3	-1.25	6.52442961630991	19
4	1.66666666666667	6.49941722329197	18
5	-12.3333333333333	5.12273601139315	16
6	-10.5	7.86823302330904	23

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6.60635630877129
beta	0.00378620856153386
S.D.	0.0778224750176739
T-STAT	0.0486518651671512
p-value	0.963529083570137

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.60635630877129 \tabularnewline
beta & 0.00378620856153386 \tabularnewline
S.D. & 0.0778224750176739 \tabularnewline
T-STAT & 0.0486518651671512 \tabularnewline
p-value & 0.963529083570137 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234645&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.60635630877129[/C][/ROW]
[ROW][C]beta[/C][C]0.00378620856153386[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0778224750176739[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0486518651671512[/C][/ROW]
[ROW][C]p-value[/C][C]0.963529083570137[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234645&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234645&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	6.60635630877129
beta	0.00378620856153386
S.D.	0.0778224750176739
T-STAT	0.0486518651671512
p-value	0.963529083570137

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code