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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

Mon, 28 Dec 2009 11:50:07 -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/Dec/28/t1262026486d9v7agqd3dkb6ul.htm/, Retrieved Sat, 04 May 2024 20:50:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71031, Retrieved Sat, 04 May 2024 20:50:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

138

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

-     [Variance Reduction Matrix] [VRM Olie] [2008-12-19 13:50:37] [7458e879e85b911182071700fff19fbd]
- RM D  [Variance Reduction Matrix] [] [2009-12-28 18:04:03] [a171cf7519360d15de770637ace99f7a]
- RM D      [Standard Deviation-Mean Plot] [] [2009-12-28 18:50:07] [8dc3430f82ac55eb052bda9ec3452bd3] [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	3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71031&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]3 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=71031&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71031&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	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3022.5225	86.1159467907463	184.780000000000
2	3109.8925	42.0123381678922	100.430000000000
3	3298.37	46.4392097262646	106.83
4	3723.055	184.043475751429	423.79
5	3742.075	139.316746660263	325.390000000000
6	4042.66	154.565965852771	337.48
7	4398.605	93.4718961328306	211.75
8	4618.1175	57.7445664832053	134.12
9	4259.855	140.606035550873	330.049999999999
10	3839.1375	198.459170674978	442.28
11	3548.9125	377.465810493701	825.02
12	2555.41	525.290579584291	1032.58
13	1812.325	102.394400074744	235.34
14	2004.2225	94.7000965768602	206.39
15	2429.1925	95.0625199101448	219.76

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3022.5225 & 86.1159467907463 & 184.780000000000 \tabularnewline
2 & 3109.8925 & 42.0123381678922 & 100.430000000000 \tabularnewline
3 & 3298.37 & 46.4392097262646 & 106.83 \tabularnewline
4 & 3723.055 & 184.043475751429 & 423.79 \tabularnewline
5 & 3742.075 & 139.316746660263 & 325.390000000000 \tabularnewline
6 & 4042.66 & 154.565965852771 & 337.48 \tabularnewline
7 & 4398.605 & 93.4718961328306 & 211.75 \tabularnewline
8 & 4618.1175 & 57.7445664832053 & 134.12 \tabularnewline
9 & 4259.855 & 140.606035550873 & 330.049999999999 \tabularnewline
10 & 3839.1375 & 198.459170674978 & 442.28 \tabularnewline
11 & 3548.9125 & 377.465810493701 & 825.02 \tabularnewline
12 & 2555.41 & 525.290579584291 & 1032.58 \tabularnewline
13 & 1812.325 & 102.394400074744 & 235.34 \tabularnewline
14 & 2004.2225 & 94.7000965768602 & 206.39 \tabularnewline
15 & 2429.1925 & 95.0625199101448 & 219.76 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71031&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]3022.5225[/C][C]86.1159467907463[/C][C]184.780000000000[/C][/ROW]
[ROW][C]2[/C][C]3109.8925[/C][C]42.0123381678922[/C][C]100.430000000000[/C][/ROW]
[ROW][C]3[/C][C]3298.37[/C][C]46.4392097262646[/C][C]106.83[/C][/ROW]
[ROW][C]4[/C][C]3723.055[/C][C]184.043475751429[/C][C]423.79[/C][/ROW]
[ROW][C]5[/C][C]3742.075[/C][C]139.316746660263[/C][C]325.390000000000[/C][/ROW]
[ROW][C]6[/C][C]4042.66[/C][C]154.565965852771[/C][C]337.48[/C][/ROW]
[ROW][C]7[/C][C]4398.605[/C][C]93.4718961328306[/C][C]211.75[/C][/ROW]
[ROW][C]8[/C][C]4618.1175[/C][C]57.7445664832053[/C][C]134.12[/C][/ROW]
[ROW][C]9[/C][C]4259.855[/C][C]140.606035550873[/C][C]330.049999999999[/C][/ROW]
[ROW][C]10[/C][C]3839.1375[/C][C]198.459170674978[/C][C]442.28[/C][/ROW]
[ROW][C]11[/C][C]3548.9125[/C][C]377.465810493701[/C][C]825.02[/C][/ROW]
[ROW][C]12[/C][C]2555.41[/C][C]525.290579584291[/C][C]1032.58[/C][/ROW]
[ROW][C]13[/C][C]1812.325[/C][C]102.394400074744[/C][C]235.34[/C][/ROW]
[ROW][C]14[/C][C]2004.2225[/C][C]94.7000965768602[/C][C]206.39[/C][/ROW]
[ROW][C]15[/C][C]2429.1925[/C][C]95.0625199101448[/C][C]219.76[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71031&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71031&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	3022.5225	86.1159467907463	184.780000000000
2	3109.8925	42.0123381678922	100.430000000000
3	3298.37	46.4392097262646	106.83
4	3723.055	184.043475751429	423.79
5	3742.075	139.316746660263	325.390000000000
6	4042.66	154.565965852771	337.48
7	4398.605	93.4718961328306	211.75
8	4618.1175	57.7445664832053	134.12
9	4259.855	140.606035550873	330.049999999999
10	3839.1375	198.459170674978	442.28
11	3548.9125	377.465810493701	825.02
12	2555.41	525.290579584291	1032.58
13	1812.325	102.394400074744	235.34
14	2004.2225	94.7000965768602	206.39
15	2429.1925	95.0625199101448	219.76

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	205.207891433629
beta	-0.0146897951535722
S.D.	0.042123001142471
T-STAT	-0.348735720512589
p-value	0.73287097990942

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 205.207891433629 \tabularnewline
beta & -0.0146897951535722 \tabularnewline
S.D. & 0.042123001142471 \tabularnewline
T-STAT & -0.348735720512589 \tabularnewline
p-value & 0.73287097990942 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71031&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]205.207891433629[/C][/ROW]
[ROW][C]beta[/C][C]-0.0146897951535722[/C][/ROW]
[ROW][C]S.D.[/C][C]0.042123001142471[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.348735720512589[/C][/ROW]
[ROW][C]p-value[/C][C]0.73287097990942[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71031&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71031&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	205.207891433629
beta	-0.0146897951535722
S.D.	0.042123001142471
T-STAT	-0.348735720512589
p-value	0.73287097990942

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.75721384783259
beta	0.00517760775647333
S.D.	0.683247313697263
T-STAT	0.0075779408900354
p-value	0.994068791915925
Lambda	0.994822392243527

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.75721384783259 \tabularnewline
beta & 0.00517760775647333 \tabularnewline
S.D. & 0.683247313697263 \tabularnewline
T-STAT & 0.0075779408900354 \tabularnewline
p-value & 0.994068791915925 \tabularnewline
Lambda & 0.994822392243527 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71031&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.75721384783259[/C][/ROW]
[ROW][C]beta[/C][C]0.00517760775647333[/C][/ROW]
[ROW][C]S.D.[/C][C]0.683247313697263[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0075779408900354[/C][/ROW]
[ROW][C]p-value[/C][C]0.994068791915925[/C][/ROW]
[ROW][C]Lambda[/C][C]0.994822392243527[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71031&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71031&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	4.75721384783259
beta	0.00517760775647333
S.D.	0.683247313697263
T-STAT	0.0075779408900354
p-value	0.994068791915925
Lambda	0.994822392243527

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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')

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Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code