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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

Sun, 22 Nov 2015 22:16:58 +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/2015/Nov/22/t1448230630my3grr5ksgne9bf.htm/, Retrieved Wed, 15 May 2024 11:50:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283899, Retrieved Wed, 15 May 2024 11:50:30 +0000

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Original text written by user:

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No (this computation is public)

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2015-11-22 22:16:58] [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=283899&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=283899&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283899&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	983.25	328.295633122454	1375
2	898.166666666667	299.449140721405	1198
3	1054.66666666667	387.262263338504	1607
4	1193.08333333333	465.547470157123	1982
5	1148.83333333333	430.944804171514	1899
6	1196.16666666667	474.079554761038	1842
7	1268.91666666667	524.008580487231	2038
8	1034.5	511.812909709646	1874
9	1150.25	343.856239781051	1263
10	1334.5	530.726003611177	1997
11	1553	878.489198981566	3081
12	1583.75	491.965469039518	1901
13	1289.58333333333	299.625056099159	1154

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 983.25 & 328.295633122454 & 1375 \tabularnewline
2 & 898.166666666667 & 299.449140721405 & 1198 \tabularnewline
3 & 1054.66666666667 & 387.262263338504 & 1607 \tabularnewline
4 & 1193.08333333333 & 465.547470157123 & 1982 \tabularnewline
5 & 1148.83333333333 & 430.944804171514 & 1899 \tabularnewline
6 & 1196.16666666667 & 474.079554761038 & 1842 \tabularnewline
7 & 1268.91666666667 & 524.008580487231 & 2038 \tabularnewline
8 & 1034.5 & 511.812909709646 & 1874 \tabularnewline
9 & 1150.25 & 343.856239781051 & 1263 \tabularnewline
10 & 1334.5 & 530.726003611177 & 1997 \tabularnewline
11 & 1553 & 878.489198981566 & 3081 \tabularnewline
12 & 1583.75 & 491.965469039518 & 1901 \tabularnewline
13 & 1289.58333333333 & 299.625056099159 & 1154 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283899&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]983.25[/C][C]328.295633122454[/C][C]1375[/C][/ROW]
[ROW][C]2[/C][C]898.166666666667[/C][C]299.449140721405[/C][C]1198[/C][/ROW]
[ROW][C]3[/C][C]1054.66666666667[/C][C]387.262263338504[/C][C]1607[/C][/ROW]
[ROW][C]4[/C][C]1193.08333333333[/C][C]465.547470157123[/C][C]1982[/C][/ROW]
[ROW][C]5[/C][C]1148.83333333333[/C][C]430.944804171514[/C][C]1899[/C][/ROW]
[ROW][C]6[/C][C]1196.16666666667[/C][C]474.079554761038[/C][C]1842[/C][/ROW]
[ROW][C]7[/C][C]1268.91666666667[/C][C]524.008580487231[/C][C]2038[/C][/ROW]
[ROW][C]8[/C][C]1034.5[/C][C]511.812909709646[/C][C]1874[/C][/ROW]
[ROW][C]9[/C][C]1150.25[/C][C]343.856239781051[/C][C]1263[/C][/ROW]
[ROW][C]10[/C][C]1334.5[/C][C]530.726003611177[/C][C]1997[/C][/ROW]
[ROW][C]11[/C][C]1553[/C][C]878.489198981566[/C][C]3081[/C][/ROW]
[ROW][C]12[/C][C]1583.75[/C][C]491.965469039518[/C][C]1901[/C][/ROW]
[ROW][C]13[/C][C]1289.58333333333[/C][C]299.625056099159[/C][C]1154[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283899&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283899&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	983.25	328.295633122454	1375
2	898.166666666667	299.449140721405	1198
3	1054.66666666667	387.262263338504	1607
4	1193.08333333333	465.547470157123	1982
5	1148.83333333333	430.944804171514	1899
6	1196.16666666667	474.079554761038	1842
7	1268.91666666667	524.008580487231	2038
8	1034.5	511.812909709646	1874
9	1150.25	343.856239781051	1263
10	1334.5	530.726003611177	1997
11	1553	878.489198981566	3081
12	1583.75	491.965469039518	1901
13	1289.58333333333	299.625056099159	1154

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-141.741346431999
beta	0.497728710380999
S.D.	0.168511195027325
T-STAT	2.95368334608445
p-value	0.013122675256239

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -141.741346431999 \tabularnewline
beta & 0.497728710380999 \tabularnewline
S.D. & 0.168511195027325 \tabularnewline
T-STAT & 2.95368334608445 \tabularnewline
p-value & 0.013122675256239 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283899&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-141.741346431999[/C][/ROW]
[ROW][C]beta[/C][C]0.497728710380999[/C][/ROW]
[ROW][C]S.D.[/C][C]0.168511195027325[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.95368334608445[/C][/ROW]
[ROW][C]p-value[/C][C]0.013122675256239[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283899&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283899&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	-141.741346431999
beta	0.497728710380999
S.D.	0.168511195027325
T-STAT	2.95368334608445
p-value	0.013122675256239

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.23472933258635
beta	1.17475206526212
S.D.	0.405297587384636
T-STAT	2.89849261833195
p-value	0.0144841214147844
Lambda	-0.174752065262117

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.23472933258635 \tabularnewline
beta & 1.17475206526212 \tabularnewline
S.D. & 0.405297587384636 \tabularnewline
T-STAT & 2.89849261833195 \tabularnewline
p-value & 0.0144841214147844 \tabularnewline
Lambda & -0.174752065262117 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283899&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.23472933258635[/C][/ROW]
[ROW][C]beta[/C][C]1.17475206526212[/C][/ROW]
[ROW][C]S.D.[/C][C]0.405297587384636[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.89849261833195[/C][/ROW]
[ROW][C]p-value[/C][C]0.0144841214147844[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.174752065262117[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283899&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283899&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	-2.23472933258635
beta	1.17475206526212
S.D.	0.405297587384636
T-STAT	2.89849261833195
p-value	0.0144841214147844
Lambda	-0.174752065262117

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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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code