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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

Thu, 16 Aug 2012 11:07:55 -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/Aug/16/t1345129702nh1zact7gg017dr.htm/, Retrieved Fri, 03 May 2024 04:51:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=169415, Retrieved Fri, 03 May 2024 04:51:57 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

113

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

-     [Variability] [TIJDREEKS B - STA...] [2011-08-19 07:19:39] [46972ec2bfa5b295f8450f947ab1f239]
- RMPD    [Standard Deviation-Mean Plot] [stap 26 reeks A] [2012-08-16 15:07:55] [7d6606cca1b3596736d7d387043cb02b] [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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169415&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169415&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169415&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

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	6985.66666666667	1116.63262725143	3327
2	4885.41666666667	1165.03308250596	4100
3	4586.83333333333	1074.7454525974	4100
4	5291.25	1469.74649174611	4353
5	7768.41666666667	1500.52963124439	4999
6	11771.4166666667	2219.4521215149	6668
7	16169.75	2304.18635314073	6796
8	19159.25	1799.68017992087	5645
9	22008.6666666667	1710.77618393382	5897
10	25202	1483.23675545318	4998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6985.66666666667 & 1116.63262725143 & 3327 \tabularnewline
2 & 4885.41666666667 & 1165.03308250596 & 4100 \tabularnewline
3 & 4586.83333333333 & 1074.7454525974 & 4100 \tabularnewline
4 & 5291.25 & 1469.74649174611 & 4353 \tabularnewline
5 & 7768.41666666667 & 1500.52963124439 & 4999 \tabularnewline
6 & 11771.4166666667 & 2219.4521215149 & 6668 \tabularnewline
7 & 16169.75 & 2304.18635314073 & 6796 \tabularnewline
8 & 19159.25 & 1799.68017992087 & 5645 \tabularnewline
9 & 22008.6666666667 & 1710.77618393382 & 5897 \tabularnewline
10 & 25202 & 1483.23675545318 & 4998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169415&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]6985.66666666667[/C][C]1116.63262725143[/C][C]3327[/C][/ROW]
[ROW][C]2[/C][C]4885.41666666667[/C][C]1165.03308250596[/C][C]4100[/C][/ROW]
[ROW][C]3[/C][C]4586.83333333333[/C][C]1074.7454525974[/C][C]4100[/C][/ROW]
[ROW][C]4[/C][C]5291.25[/C][C]1469.74649174611[/C][C]4353[/C][/ROW]
[ROW][C]5[/C][C]7768.41666666667[/C][C]1500.52963124439[/C][C]4999[/C][/ROW]
[ROW][C]6[/C][C]11771.4166666667[/C][C]2219.4521215149[/C][C]6668[/C][/ROW]
[ROW][C]7[/C][C]16169.75[/C][C]2304.18635314073[/C][C]6796[/C][/ROW]
[ROW][C]8[/C][C]19159.25[/C][C]1799.68017992087[/C][C]5645[/C][/ROW]
[ROW][C]9[/C][C]22008.6666666667[/C][C]1710.77618393382[/C][C]5897[/C][/ROW]
[ROW][C]10[/C][C]25202[/C][C]1483.23675545318[/C][C]4998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169415&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169415&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	6985.66666666667	1116.63262725143	3327
2	4885.41666666667	1165.03308250596	4100
3	4586.83333333333	1074.7454525974	4100
4	5291.25	1469.74649174611	4353
5	7768.41666666667	1500.52963124439	4999
6	11771.4166666667	2219.4521215149	6668
7	16169.75	2304.18635314073	6796
8	19159.25	1799.68017992087	5645
9	22008.6666666667	1710.77618393382	5897
10	25202	1483.23675545318	4998

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1247.65036167767
beta	0.0271949569771033
S.D.	0.0172384300363358
T-STAT	1.57757736173078
p-value	0.15331442982732

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1247.65036167767 \tabularnewline
beta & 0.0271949569771033 \tabularnewline
S.D. & 0.0172384300363358 \tabularnewline
T-STAT & 1.57757736173078 \tabularnewline
p-value & 0.15331442982732 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169415&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1247.65036167767[/C][/ROW]
[ROW][C]beta[/C][C]0.0271949569771033[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0172384300363358[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.57757736173078[/C][/ROW]
[ROW][C]p-value[/C][C]0.15331442982732[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169415&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169415&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	1247.65036167767
beta	0.0271949569771033
S.D.	0.0172384300363358
T-STAT	1.57757736173078
p-value	0.15331442982732

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.86234241113578
beta	0.267746862590002
S.D.	0.109145538932031
T-STAT	2.45311778392278
p-value	0.0397430146517531
Lambda	0.732253137409998

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.86234241113578 \tabularnewline
beta & 0.267746862590002 \tabularnewline
S.D. & 0.109145538932031 \tabularnewline
T-STAT & 2.45311778392278 \tabularnewline
p-value & 0.0397430146517531 \tabularnewline
Lambda & 0.732253137409998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169415&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.86234241113578[/C][/ROW]
[ROW][C]beta[/C][C]0.267746862590002[/C][/ROW]
[ROW][C]S.D.[/C][C]0.109145538932031[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.45311778392278[/C][/ROW]
[ROW][C]p-value[/C][C]0.0397430146517531[/C][/ROW]
[ROW][C]Lambda[/C][C]0.732253137409998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169415&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169415&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	4.86234241113578
beta	0.267746862590002
S.D.	0.109145538932031
T-STAT	2.45311778392278
p-value	0.0397430146517531
Lambda	0.732253137409998

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

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