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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, 18 Mar 2016 09:28:05 +0000

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/2016/Mar/18/t1458293326z7ohmrx5l6shtz1.htm/, Retrieved Thu, 02 May 2024 04:20:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294223, Retrieved Thu, 02 May 2024 04:20:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

116

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

-       [Standard Deviation-Mean Plot] [] [2016-03-18 09:28:05] [76c30f62b7052b57088120e90a652e05] [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	'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=294223&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=294223&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294223&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	96366.8333333333	2445.56362097624	7964
2	108546.75	3905.56281882883	12267
3	121321.166666667	3875.95296981819	11701
4	133507.916666667	4024.31569469967	11820
5	146472.75	4129.11227802605	11729
6	154822.666666667	2185.51622083094	7149
7	159756.083333333	3326.7046609994	10295
8	170660.166666667	3180.72415520666	9834
9	179945.5	2465.32938975708	7072
10	185399.833333333	1480.37752146559	4117
11	189554.583333333	1827.54149105161	5153

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 96366.8333333333 & 2445.56362097624 & 7964 \tabularnewline
2 & 108546.75 & 3905.56281882883 & 12267 \tabularnewline
3 & 121321.166666667 & 3875.95296981819 & 11701 \tabularnewline
4 & 133507.916666667 & 4024.31569469967 & 11820 \tabularnewline
5 & 146472.75 & 4129.11227802605 & 11729 \tabularnewline
6 & 154822.666666667 & 2185.51622083094 & 7149 \tabularnewline
7 & 159756.083333333 & 3326.7046609994 & 10295 \tabularnewline
8 & 170660.166666667 & 3180.72415520666 & 9834 \tabularnewline
9 & 179945.5 & 2465.32938975708 & 7072 \tabularnewline
10 & 185399.833333333 & 1480.37752146559 & 4117 \tabularnewline
11 & 189554.583333333 & 1827.54149105161 & 5153 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294223&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]96366.8333333333[/C][C]2445.56362097624[/C][C]7964[/C][/ROW]
[ROW][C]2[/C][C]108546.75[/C][C]3905.56281882883[/C][C]12267[/C][/ROW]
[ROW][C]3[/C][C]121321.166666667[/C][C]3875.95296981819[/C][C]11701[/C][/ROW]
[ROW][C]4[/C][C]133507.916666667[/C][C]4024.31569469967[/C][C]11820[/C][/ROW]
[ROW][C]5[/C][C]146472.75[/C][C]4129.11227802605[/C][C]11729[/C][/ROW]
[ROW][C]6[/C][C]154822.666666667[/C][C]2185.51622083094[/C][C]7149[/C][/ROW]
[ROW][C]7[/C][C]159756.083333333[/C][C]3326.7046609994[/C][C]10295[/C][/ROW]
[ROW][C]8[/C][C]170660.166666667[/C][C]3180.72415520666[/C][C]9834[/C][/ROW]
[ROW][C]9[/C][C]179945.5[/C][C]2465.32938975708[/C][C]7072[/C][/ROW]
[ROW][C]10[/C][C]185399.833333333[/C][C]1480.37752146559[/C][C]4117[/C][/ROW]
[ROW][C]11[/C][C]189554.583333333[/C][C]1827.54149105161[/C][C]5153[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294223&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294223&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	96366.8333333333	2445.56362097624	7964
2	108546.75	3905.56281882883	12267
3	121321.166666667	3875.95296981819	11701
4	133507.916666667	4024.31569469967	11820
5	146472.75	4129.11227802605	11729
6	154822.666666667	2185.51622083094	7149
7	159756.083333333	3326.7046609994	10295
8	170660.166666667	3180.72415520666	9834
9	179945.5	2465.32938975708	7072
10	185399.833333333	1480.37752146559	4117
11	189554.583333333	1827.54149105161	5153

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	5496.06661065883
beta	-0.0167704076419683
S.D.	0.00830838563933006
T-STAT	-2.01849172269771
p-value	0.0743027135410904

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5496.06661065883 \tabularnewline
beta & -0.0167704076419683 \tabularnewline
S.D. & 0.00830838563933006 \tabularnewline
T-STAT & -2.01849172269771 \tabularnewline
p-value & 0.0743027135410904 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294223&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5496.06661065883[/C][/ROW]
[ROW][C]beta[/C][C]-0.0167704076419683[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00830838563933006[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.01849172269771[/C][/ROW]
[ROW][C]p-value[/C][C]0.0743027135410904[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294223&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294223&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	5496.06661065883
beta	-0.0167704076419683
S.D.	0.00830838563933006
T-STAT	-2.01849172269771
p-value	0.0743027135410904

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	17.4076267164349
beta	-0.795182724130218
S.D.	0.445481424970304
T-STAT	-1.78499636473782
p-value	0.107921113688047
Lambda	1.79518272413022

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 17.4076267164349 \tabularnewline
beta & -0.795182724130218 \tabularnewline
S.D. & 0.445481424970304 \tabularnewline
T-STAT & -1.78499636473782 \tabularnewline
p-value & 0.107921113688047 \tabularnewline
Lambda & 1.79518272413022 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294223&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]17.4076267164349[/C][/ROW]
[ROW][C]beta[/C][C]-0.795182724130218[/C][/ROW]
[ROW][C]S.D.[/C][C]0.445481424970304[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.78499636473782[/C][/ROW]
[ROW][C]p-value[/C][C]0.107921113688047[/C][/ROW]
[ROW][C]Lambda[/C][C]1.79518272413022[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294223&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294223&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	17.4076267164349
beta	-0.795182724130218
S.D.	0.445481424970304
T-STAT	-1.78499636473782
p-value	0.107921113688047
Lambda	1.79518272413022

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code