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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 27 Nov 2009 04:52:18 -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/2009/Nov/27/t1259322814rlx1ru5lc9wr68y.htm/, Retrieved Sun, 28 Apr 2024 21:17:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60597, Retrieved Sun, 28 Apr 2024 21:17:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

111

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

-       [Standard Deviation-Mean Plot] [ws8 part4 module1] [2009-11-27 11:52:18] [b243db81ea3e1f02fb3382887fb0f701] [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	0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60597&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]0 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=60597&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60597&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	0 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	30314.5	600.799744784677	1425
2	31204.25	315.484151741415	712
3	33632.25	462.205131227828	991
4	34506	1855.44909208885	3262
5	35033.75	439.424908260786	966
6	36952.25	856.532690561195	2031
7	35367.75	230.810708879231	524
8	36296.5	870.29516065911	1989
9	37218.75	1880.61096012262	4022
10	34150	1035.07906300276	2271
11	35206.5	242.961588184909	572
12	35466.5	1543.58899970167	3240
13	33893.5	772.872348235248	1708
14	36601.75	986.678730219045	2211
15	39397.5	908.880813601725	1915

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 30314.5 & 600.799744784677 & 1425 \tabularnewline
2 & 31204.25 & 315.484151741415 & 712 \tabularnewline
3 & 33632.25 & 462.205131227828 & 991 \tabularnewline
4 & 34506 & 1855.44909208885 & 3262 \tabularnewline
5 & 35033.75 & 439.424908260786 & 966 \tabularnewline
6 & 36952.25 & 856.532690561195 & 2031 \tabularnewline
7 & 35367.75 & 230.810708879231 & 524 \tabularnewline
8 & 36296.5 & 870.29516065911 & 1989 \tabularnewline
9 & 37218.75 & 1880.61096012262 & 4022 \tabularnewline
10 & 34150 & 1035.07906300276 & 2271 \tabularnewline
11 & 35206.5 & 242.961588184909 & 572 \tabularnewline
12 & 35466.5 & 1543.58899970167 & 3240 \tabularnewline
13 & 33893.5 & 772.872348235248 & 1708 \tabularnewline
14 & 36601.75 & 986.678730219045 & 2211 \tabularnewline
15 & 39397.5 & 908.880813601725 & 1915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60597&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]30314.5[/C][C]600.799744784677[/C][C]1425[/C][/ROW]
[ROW][C]2[/C][C]31204.25[/C][C]315.484151741415[/C][C]712[/C][/ROW]
[ROW][C]3[/C][C]33632.25[/C][C]462.205131227828[/C][C]991[/C][/ROW]
[ROW][C]4[/C][C]34506[/C][C]1855.44909208885[/C][C]3262[/C][/ROW]
[ROW][C]5[/C][C]35033.75[/C][C]439.424908260786[/C][C]966[/C][/ROW]
[ROW][C]6[/C][C]36952.25[/C][C]856.532690561195[/C][C]2031[/C][/ROW]
[ROW][C]7[/C][C]35367.75[/C][C]230.810708879231[/C][C]524[/C][/ROW]
[ROW][C]8[/C][C]36296.5[/C][C]870.29516065911[/C][C]1989[/C][/ROW]
[ROW][C]9[/C][C]37218.75[/C][C]1880.61096012262[/C][C]4022[/C][/ROW]
[ROW][C]10[/C][C]34150[/C][C]1035.07906300276[/C][C]2271[/C][/ROW]
[ROW][C]11[/C][C]35206.5[/C][C]242.961588184909[/C][C]572[/C][/ROW]
[ROW][C]12[/C][C]35466.5[/C][C]1543.58899970167[/C][C]3240[/C][/ROW]
[ROW][C]13[/C][C]33893.5[/C][C]772.872348235248[/C][C]1708[/C][/ROW]
[ROW][C]14[/C][C]36601.75[/C][C]986.678730219045[/C][C]2211[/C][/ROW]
[ROW][C]15[/C][C]39397.5[/C][C]908.880813601725[/C][C]1915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60597&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60597&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	30314.5	600.799744784677	1425
2	31204.25	315.484151741415	712
3	33632.25	462.205131227828	991
4	34506	1855.44909208885	3262
5	35033.75	439.424908260786	966
6	36952.25	856.532690561195	2031
7	35367.75	230.810708879231	524
8	36296.5	870.29516065911	1989
9	37218.75	1880.61096012262	4022
10	34150	1035.07906300276	2271
11	35206.5	242.961588184909	572
12	35466.5	1543.58899970167	3240
13	33893.5	772.872348235248	1708
14	36601.75	986.678730219045	2211
15	39397.5	908.880813601725	1915

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1964.9895266217
beta	0.0808704125111848
S.D.	0.0611321641118384
T-STAT	1.32287828651438
p-value	0.208674547310580

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1964.9895266217 \tabularnewline
beta & 0.0808704125111848 \tabularnewline
S.D. & 0.0611321641118384 \tabularnewline
T-STAT & 1.32287828651438 \tabularnewline
p-value & 0.208674547310580 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60597&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1964.9895266217[/C][/ROW]
[ROW][C]beta[/C][C]0.0808704125111848[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0611321641118384[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.32287828651438[/C][/ROW]
[ROW][C]p-value[/C][C]0.208674547310580[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60597&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60597&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	-1964.9895266217
beta	0.0808704125111848
S.D.	0.0611321641118384
T-STAT	1.32287828651438
p-value	0.208674547310580

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-31.1069024479758
beta	3.60138154961574
S.D.	2.64054628141241
T-STAT	1.36387745784535
p-value	0.195756038304237
Lambda	-2.60138154961574

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -31.1069024479758 \tabularnewline
beta & 3.60138154961574 \tabularnewline
S.D. & 2.64054628141241 \tabularnewline
T-STAT & 1.36387745784535 \tabularnewline
p-value & 0.195756038304237 \tabularnewline
Lambda & -2.60138154961574 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60597&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-31.1069024479758[/C][/ROW]
[ROW][C]beta[/C][C]3.60138154961574[/C][/ROW]
[ROW][C]S.D.[/C][C]2.64054628141241[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.36387745784535[/C][/ROW]
[ROW][C]p-value[/C][C]0.195756038304237[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.60138154961574[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60597&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60597&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	-31.1069024479758
beta	3.60138154961574
S.D.	2.64054628141241
T-STAT	1.36387745784535
p-value	0.195756038304237
Lambda	-2.60138154961574

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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