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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

Tue, 10 May 2011 11:00:27 +0000

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/2011/May/10/t13050250610qxhjtfv7o1atao.htm/, Retrieved Mon, 13 May 2024 15:10:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121383, Retrieved Mon, 13 May 2024 15:10:17 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

116

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

-     [Variability] [] [2011-05-10 10:16:02] [8f770b4f20d4fa0c8c59db7a4b6af20c]
- RMPD    [Standard Deviation-Mean Plot] [] [2011-05-10 11:00:27] [697c881a84403defd656157daf408edb] [Current]

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Boxplots

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' @ www.wessa.org

\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' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121383&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' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121383&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121383&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' @ www.wessa.org

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	12451.25	1056.41070769532	2569
2	10766.25	519.168164791846	1105
3	10883	774.620337111457	1883
4	11950.25	631.861469522131	1312
5	11082.25	760.016830953982	1755
6	10810.5	593.770157552567	1281
7	11536.25	681.381623370242	1337
8	10539	175.120910611307	376
9	11180.25	1057.27050307226	2579
10	11918.5	703.995501879569	1483
11	10765	423.277686631365	894
12	11100.5	927.713497440526	2230
13	12133.5	1528.78786407184	3449
14	10434	220.183257008036	431
15	10991.25	667.115369832435	1564
16	11741.5	670.185297759756	1562
17	10860.75	389.618082229252	837
18	11371.5	826.64240555797	1887

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 12451.25 & 1056.41070769532 & 2569 \tabularnewline
2 & 10766.25 & 519.168164791846 & 1105 \tabularnewline
3 & 10883 & 774.620337111457 & 1883 \tabularnewline
4 & 11950.25 & 631.861469522131 & 1312 \tabularnewline
5 & 11082.25 & 760.016830953982 & 1755 \tabularnewline
6 & 10810.5 & 593.770157552567 & 1281 \tabularnewline
7 & 11536.25 & 681.381623370242 & 1337 \tabularnewline
8 & 10539 & 175.120910611307 & 376 \tabularnewline
9 & 11180.25 & 1057.27050307226 & 2579 \tabularnewline
10 & 11918.5 & 703.995501879569 & 1483 \tabularnewline
11 & 10765 & 423.277686631365 & 894 \tabularnewline
12 & 11100.5 & 927.713497440526 & 2230 \tabularnewline
13 & 12133.5 & 1528.78786407184 & 3449 \tabularnewline
14 & 10434 & 220.183257008036 & 431 \tabularnewline
15 & 10991.25 & 667.115369832435 & 1564 \tabularnewline
16 & 11741.5 & 670.185297759756 & 1562 \tabularnewline
17 & 10860.75 & 389.618082229252 & 837 \tabularnewline
18 & 11371.5 & 826.64240555797 & 1887 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121383&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]12451.25[/C][C]1056.41070769532[/C][C]2569[/C][/ROW]
[ROW][C]2[/C][C]10766.25[/C][C]519.168164791846[/C][C]1105[/C][/ROW]
[ROW][C]3[/C][C]10883[/C][C]774.620337111457[/C][C]1883[/C][/ROW]
[ROW][C]4[/C][C]11950.25[/C][C]631.861469522131[/C][C]1312[/C][/ROW]
[ROW][C]5[/C][C]11082.25[/C][C]760.016830953982[/C][C]1755[/C][/ROW]
[ROW][C]6[/C][C]10810.5[/C][C]593.770157552567[/C][C]1281[/C][/ROW]
[ROW][C]7[/C][C]11536.25[/C][C]681.381623370242[/C][C]1337[/C][/ROW]
[ROW][C]8[/C][C]10539[/C][C]175.120910611307[/C][C]376[/C][/ROW]
[ROW][C]9[/C][C]11180.25[/C][C]1057.27050307226[/C][C]2579[/C][/ROW]
[ROW][C]10[/C][C]11918.5[/C][C]703.995501879569[/C][C]1483[/C][/ROW]
[ROW][C]11[/C][C]10765[/C][C]423.277686631365[/C][C]894[/C][/ROW]
[ROW][C]12[/C][C]11100.5[/C][C]927.713497440526[/C][C]2230[/C][/ROW]
[ROW][C]13[/C][C]12133.5[/C][C]1528.78786407184[/C][C]3449[/C][/ROW]
[ROW][C]14[/C][C]10434[/C][C]220.183257008036[/C][C]431[/C][/ROW]
[ROW][C]15[/C][C]10991.25[/C][C]667.115369832435[/C][C]1564[/C][/ROW]
[ROW][C]16[/C][C]11741.5[/C][C]670.185297759756[/C][C]1562[/C][/ROW]
[ROW][C]17[/C][C]10860.75[/C][C]389.618082229252[/C][C]837[/C][/ROW]
[ROW][C]18[/C][C]11371.5[/C][C]826.64240555797[/C][C]1887[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121383&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121383&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	12451.25	1056.41070769532	2569
2	10766.25	519.168164791846	1105
3	10883	774.620337111457	1883
4	11950.25	631.861469522131	1312
5	11082.25	760.016830953982	1755
6	10810.5	593.770157552567	1281
7	11536.25	681.381623370242	1337
8	10539	175.120910611307	376
9	11180.25	1057.27050307226	2579
10	11918.5	703.995501879569	1483
11	10765	423.277686631365	894
12	11100.5	927.713497440526	2230
13	12133.5	1528.78786407184	3449
14	10434	220.183257008036	431
15	10991.25	667.115369832435	1564
16	11741.5	670.185297759756	1562
17	10860.75	389.618082229252	837
18	11371.5	826.64240555797	1887

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-3565.15706888249
beta	0.379131310477355
S.D.	0.100235359099347
T-STAT	3.78241085664773
p-value	0.00163219909045178

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3565.15706888249 \tabularnewline
beta & 0.379131310477355 \tabularnewline
S.D. & 0.100235359099347 \tabularnewline
T-STAT & 3.78241085664773 \tabularnewline
p-value & 0.00163219909045178 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121383&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3565.15706888249[/C][/ROW]
[ROW][C]beta[/C][C]0.379131310477355[/C][/ROW]
[ROW][C]S.D.[/C][C]0.100235359099347[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.78241085664773[/C][/ROW]
[ROW][C]p-value[/C][C]0.00163219909045178[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121383&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121383&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	-3565.15706888249
beta	0.379131310477355
S.D.	0.100235359099347
T-STAT	3.78241085664773
p-value	0.00163219909045178

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-61.431544277611
beta	7.27647930315155
S.D.	1.87048624047479
T-STAT	3.89015387854687
p-value	0.00130047124465605
Lambda	-6.27647930315155

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -61.431544277611 \tabularnewline
beta & 7.27647930315155 \tabularnewline
S.D. & 1.87048624047479 \tabularnewline
T-STAT & 3.89015387854687 \tabularnewline
p-value & 0.00130047124465605 \tabularnewline
Lambda & -6.27647930315155 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121383&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-61.431544277611[/C][/ROW]
[ROW][C]beta[/C][C]7.27647930315155[/C][/ROW]
[ROW][C]S.D.[/C][C]1.87048624047479[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.89015387854687[/C][/ROW]
[ROW][C]p-value[/C][C]0.00130047124465605[/C][/ROW]
[ROW][C]Lambda[/C][C]-6.27647930315155[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121383&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121383&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	-61.431544277611
beta	7.27647930315155
S.D.	1.87048624047479
T-STAT	3.89015387854687
p-value	0.00130047124465605
Lambda	-6.27647930315155

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code