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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, 25 Jul 2012 05:17:50 -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/2012/Jul/25/t1343207897iw34yhege7t8clr.htm/, Retrieved Sat, 04 May 2024 05:10:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=168857, Retrieved Sat, 04 May 2024 05:10:45 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Blij Arnaud

Estimated Impact

114

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

-       [Standard Deviation-Mean Plot] [Tijdreeks A - Sta...] [2012-07-25 09:17:50] [50083fea611f0183deb36cab794727ad] [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=168857&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=168857&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168857&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	161459.75	2851.35371757474	8489
2	154098.916666667	5457.4151800069	15071
3	141832.25	6998.88434128807	17666
4	124106.166666667	9532.16212078717	24858
5	110856.583333333	7234.25132720391	22893
6	98671.5833333333	8703.94968295046	24857
7	83645	10325.7849184369	29764
8	66608.6666666667	9180.12329421396	27137
9	47493.3333333333	13825.8278090703	37960
10	27293.0833333333	10374.1953857403	30111

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 161459.75 & 2851.35371757474 & 8489 \tabularnewline
2 & 154098.916666667 & 5457.4151800069 & 15071 \tabularnewline
3 & 141832.25 & 6998.88434128807 & 17666 \tabularnewline
4 & 124106.166666667 & 9532.16212078717 & 24858 \tabularnewline
5 & 110856.583333333 & 7234.25132720391 & 22893 \tabularnewline
6 & 98671.5833333333 & 8703.94968295046 & 24857 \tabularnewline
7 & 83645 & 10325.7849184369 & 29764 \tabularnewline
8 & 66608.6666666667 & 9180.12329421396 & 27137 \tabularnewline
9 & 47493.3333333333 & 13825.8278090703 & 37960 \tabularnewline
10 & 27293.0833333333 & 10374.1953857403 & 30111 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168857&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]161459.75[/C][C]2851.35371757474[/C][C]8489[/C][/ROW]
[ROW][C]2[/C][C]154098.916666667[/C][C]5457.4151800069[/C][C]15071[/C][/ROW]
[ROW][C]3[/C][C]141832.25[/C][C]6998.88434128807[/C][C]17666[/C][/ROW]
[ROW][C]4[/C][C]124106.166666667[/C][C]9532.16212078717[/C][C]24858[/C][/ROW]
[ROW][C]5[/C][C]110856.583333333[/C][C]7234.25132720391[/C][C]22893[/C][/ROW]
[ROW][C]6[/C][C]98671.5833333333[/C][C]8703.94968295046[/C][C]24857[/C][/ROW]
[ROW][C]7[/C][C]83645[/C][C]10325.7849184369[/C][C]29764[/C][/ROW]
[ROW][C]8[/C][C]66608.6666666667[/C][C]9180.12329421396[/C][C]27137[/C][/ROW]
[ROW][C]9[/C][C]47493.3333333333[/C][C]13825.8278090703[/C][C]37960[/C][/ROW]
[ROW][C]10[/C][C]27293.0833333333[/C][C]10374.1953857403[/C][C]30111[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168857&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168857&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	161459.75	2851.35371757474	8489
2	154098.916666667	5457.4151800069	15071
3	141832.25	6998.88434128807	17666
4	124106.166666667	9532.16212078717	24858
5	110856.583333333	7234.25132720391	22893
6	98671.5833333333	8703.94968295046	24857
7	83645	10325.7849184369	29764
8	66608.6666666667	9180.12329421396	27137
9	47493.3333333333	13825.8278090703	37960
10	27293.0833333333	10374.1953857403	30111

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	14096.1150323586
beta	-0.055584223468222
S.D.	0.012833447230388
T-STAT	-4.33119975251899
p-value	0.00250792527404546

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 14096.1150323586 \tabularnewline
beta & -0.055584223468222 \tabularnewline
S.D. & 0.012833447230388 \tabularnewline
T-STAT & -4.33119975251899 \tabularnewline
p-value & 0.00250792527404546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168857&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14096.1150323586[/C][/ROW]
[ROW][C]beta[/C][C]-0.055584223468222[/C][/ROW]
[ROW][C]S.D.[/C][C]0.012833447230388[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.33119975251899[/C][/ROW]
[ROW][C]p-value[/C][C]0.00250792527404546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168857&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168857&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	14096.1150323586
beta	-0.055584223468222
S.D.	0.012833447230388
T-STAT	-4.33119975251899
p-value	0.00250792527404546

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	15.0070125896899
beta	-0.529397444633802
S.D.	0.196801970471614
T-STAT	-2.69000073203108
p-value	0.0274966041238497
Lambda	1.5293974446338

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 15.0070125896899 \tabularnewline
beta & -0.529397444633802 \tabularnewline
S.D. & 0.196801970471614 \tabularnewline
T-STAT & -2.69000073203108 \tabularnewline
p-value & 0.0274966041238497 \tabularnewline
Lambda & 1.5293974446338 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168857&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]15.0070125896899[/C][/ROW]
[ROW][C]beta[/C][C]-0.529397444633802[/C][/ROW]
[ROW][C]S.D.[/C][C]0.196801970471614[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.69000073203108[/C][/ROW]
[ROW][C]p-value[/C][C]0.0274966041238497[/C][/ROW]
[ROW][C]Lambda[/C][C]1.5293974446338[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168857&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168857&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	15.0070125896899
beta	-0.529397444633802
S.D.	0.196801970471614
T-STAT	-2.69000073203108
p-value	0.0274966041238497
Lambda	1.5293974446338

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