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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

Wed, 06 Jan 2010 05:51:15 -0700

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/2010/Jan/06/t1262782377fejprui0ty52o4f.htm/, Retrieved Sat, 04 May 2024 13:36:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71670, Retrieved Sat, 04 May 2024 13:36:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

141

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

-       [Standard Deviation-Mean Plot] [] [2010-01-06 12:51:15] [6fe3b5976049c9b6736c06f51fce3033] [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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71670&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71670&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71670&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	25.6216666666667	0.831054459798824	2.44
2	25.5591666666667	0.443384879664554	1.49000000000000
3	25.4175	0.560813127196898	1.59
4	25.8375	0.658857482175153	2.16
5	26.6125	0.656189066435194	1.67000000000000
6	26.6191666666667	0.340546574930611	1.01000000000000
7	27.0733333333333	0.423713739844878	1.23
8	27.7716666666667	0.535941539100426	1.82
9	28.8366666666667	0.486066462596018	1.61000000000000
10	28.9525	0.29378795692874	0.86

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 25.6216666666667 & 0.831054459798824 & 2.44 \tabularnewline
2 & 25.5591666666667 & 0.443384879664554 & 1.49000000000000 \tabularnewline
3 & 25.4175 & 0.560813127196898 & 1.59 \tabularnewline
4 & 25.8375 & 0.658857482175153 & 2.16 \tabularnewline
5 & 26.6125 & 0.656189066435194 & 1.67000000000000 \tabularnewline
6 & 26.6191666666667 & 0.340546574930611 & 1.01000000000000 \tabularnewline
7 & 27.0733333333333 & 0.423713739844878 & 1.23 \tabularnewline
8 & 27.7716666666667 & 0.535941539100426 & 1.82 \tabularnewline
9 & 28.8366666666667 & 0.486066462596018 & 1.61000000000000 \tabularnewline
10 & 28.9525 & 0.29378795692874 & 0.86 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71670&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]25.6216666666667[/C][C]0.831054459798824[/C][C]2.44[/C][/ROW]
[ROW][C]2[/C][C]25.5591666666667[/C][C]0.443384879664554[/C][C]1.49000000000000[/C][/ROW]
[ROW][C]3[/C][C]25.4175[/C][C]0.560813127196898[/C][C]1.59[/C][/ROW]
[ROW][C]4[/C][C]25.8375[/C][C]0.658857482175153[/C][C]2.16[/C][/ROW]
[ROW][C]5[/C][C]26.6125[/C][C]0.656189066435194[/C][C]1.67000000000000[/C][/ROW]
[ROW][C]6[/C][C]26.6191666666667[/C][C]0.340546574930611[/C][C]1.01000000000000[/C][/ROW]
[ROW][C]7[/C][C]27.0733333333333[/C][C]0.423713739844878[/C][C]1.23[/C][/ROW]
[ROW][C]8[/C][C]27.7716666666667[/C][C]0.535941539100426[/C][C]1.82[/C][/ROW]
[ROW][C]9[/C][C]28.8366666666667[/C][C]0.486066462596018[/C][C]1.61000000000000[/C][/ROW]
[ROW][C]10[/C][C]28.9525[/C][C]0.29378795692874[/C][C]0.86[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71670&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71670&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	25.6216666666667	0.831054459798824	2.44
2	25.5591666666667	0.443384879664554	1.49000000000000
3	25.4175	0.560813127196898	1.59
4	25.8375	0.658857482175153	2.16
5	26.6125	0.656189066435194	1.67000000000000
6	26.6191666666667	0.340546574930611	1.01000000000000
7	27.0733333333333	0.423713739844878	1.23
8	27.7716666666667	0.535941539100426	1.82
9	28.8366666666667	0.486066462596018	1.61000000000000
10	28.9525	0.29378795692874	0.86

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2.27865245096781
beta	-0.0654344396705453
S.D.	0.0367893959863855
T-STAT	-1.77862228819305
p-value	0.113188115695666

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.27865245096781 \tabularnewline
beta & -0.0654344396705453 \tabularnewline
S.D. & 0.0367893959863855 \tabularnewline
T-STAT & -1.77862228819305 \tabularnewline
p-value & 0.113188115695666 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71670&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.27865245096781[/C][/ROW]
[ROW][C]beta[/C][C]-0.0654344396705453[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0367893959863855[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.77862228819305[/C][/ROW]
[ROW][C]p-value[/C][C]0.113188115695666[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71670&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71670&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	2.27865245096781
beta	-0.0654344396705453
S.D.	0.0367893959863855
T-STAT	-1.77862228819305
p-value	0.113188115695666

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	10.9329707800527
beta	-3.53512007192108
S.D.	1.9328729599238
T-STAT	-1.82894589826558
p-value	0.104806232124667
Lambda	4.53512007192108

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.9329707800527 \tabularnewline
beta & -3.53512007192108 \tabularnewline
S.D. & 1.9328729599238 \tabularnewline
T-STAT & -1.82894589826558 \tabularnewline
p-value & 0.104806232124667 \tabularnewline
Lambda & 4.53512007192108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71670&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.9329707800527[/C][/ROW]
[ROW][C]beta[/C][C]-3.53512007192108[/C][/ROW]
[ROW][C]S.D.[/C][C]1.9328729599238[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.82894589826558[/C][/ROW]
[ROW][C]p-value[/C][C]0.104806232124667[/C][/ROW]
[ROW][C]Lambda[/C][C]4.53512007192108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71670&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71670&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	10.9329707800527
beta	-3.53512007192108
S.D.	1.9328729599238
T-STAT	-1.82894589826558
p-value	0.104806232124667
Lambda	4.53512007192108

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