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*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 26 Jan 2009 13:01:19 -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/Jan/26/t1233000117qk0ugk7e9iqmtzy.htm/, Retrieved Sun, 05 May 2024 19:48:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36968, Retrieved Sun, 05 May 2024 19:48:35 +0000

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No (this computation is public)

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Estimated Impact

226

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

-       [Standard Deviation-Mean Plot] [Nick Follens MAR 203] [2009-01-26 20:01:19] [b3b27f5ee34edf98a28c70ba0002bc05] [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	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36968&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36968&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36968&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1.516675	0.0628827679098176	0.1401
2	1.53955	0.0442832172875157	0.100200000000000
3	1.454975	0.0224283117212746	0.0490999999999999
4	1.366325	0.0198590659397666	0.0476999999999999
5	1.333575	0.0216413762655397	0.0442
6	1.2926	0.0250963476758405	0.0601999999999998
7	1.2718	0.00695461477485752	0.0161
8	1.224975	0.0374648613147484	0.0832
9	1.194	0.0144874658469542	0.0316999999999998
10	1.21875	0.0113679373678782	0.0255000000000001
11	1.296175	0.0209940269283114	0.0507
12	1.3002	0.0383314492290599	0.0917999999999999
13	1.21995	0.00550726792520571	0.0127999999999999
14	1.2225	0.0307535363820163	0.0661
15	1.207325	0.0454522001667686	0.0921
16	1.1349	0.0230473425800025	0.0524
17	1.10025	0.0387548276562632	0.0809
18	1.01575	0.0344995169048302	0.0811

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.516675 & 0.0628827679098176 & 0.1401 \tabularnewline
2 & 1.53955 & 0.0442832172875157 & 0.100200000000000 \tabularnewline
3 & 1.454975 & 0.0224283117212746 & 0.0490999999999999 \tabularnewline
4 & 1.366325 & 0.0198590659397666 & 0.0476999999999999 \tabularnewline
5 & 1.333575 & 0.0216413762655397 & 0.0442 \tabularnewline
6 & 1.2926 & 0.0250963476758405 & 0.0601999999999998 \tabularnewline
7 & 1.2718 & 0.00695461477485752 & 0.0161 \tabularnewline
8 & 1.224975 & 0.0374648613147484 & 0.0832 \tabularnewline
9 & 1.194 & 0.0144874658469542 & 0.0316999999999998 \tabularnewline
10 & 1.21875 & 0.0113679373678782 & 0.0255000000000001 \tabularnewline
11 & 1.296175 & 0.0209940269283114 & 0.0507 \tabularnewline
12 & 1.3002 & 0.0383314492290599 & 0.0917999999999999 \tabularnewline
13 & 1.21995 & 0.00550726792520571 & 0.0127999999999999 \tabularnewline
14 & 1.2225 & 0.0307535363820163 & 0.0661 \tabularnewline
15 & 1.207325 & 0.0454522001667686 & 0.0921 \tabularnewline
16 & 1.1349 & 0.0230473425800025 & 0.0524 \tabularnewline
17 & 1.10025 & 0.0387548276562632 & 0.0809 \tabularnewline
18 & 1.01575 & 0.0344995169048302 & 0.0811 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36968&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]1.516675[/C][C]0.0628827679098176[/C][C]0.1401[/C][/ROW]
[ROW][C]2[/C][C]1.53955[/C][C]0.0442832172875157[/C][C]0.100200000000000[/C][/ROW]
[ROW][C]3[/C][C]1.454975[/C][C]0.0224283117212746[/C][C]0.0490999999999999[/C][/ROW]
[ROW][C]4[/C][C]1.366325[/C][C]0.0198590659397666[/C][C]0.0476999999999999[/C][/ROW]
[ROW][C]5[/C][C]1.333575[/C][C]0.0216413762655397[/C][C]0.0442[/C][/ROW]
[ROW][C]6[/C][C]1.2926[/C][C]0.0250963476758405[/C][C]0.0601999999999998[/C][/ROW]
[ROW][C]7[/C][C]1.2718[/C][C]0.00695461477485752[/C][C]0.0161[/C][/ROW]
[ROW][C]8[/C][C]1.224975[/C][C]0.0374648613147484[/C][C]0.0832[/C][/ROW]
[ROW][C]9[/C][C]1.194[/C][C]0.0144874658469542[/C][C]0.0316999999999998[/C][/ROW]
[ROW][C]10[/C][C]1.21875[/C][C]0.0113679373678782[/C][C]0.0255000000000001[/C][/ROW]
[ROW][C]11[/C][C]1.296175[/C][C]0.0209940269283114[/C][C]0.0507[/C][/ROW]
[ROW][C]12[/C][C]1.3002[/C][C]0.0383314492290599[/C][C]0.0917999999999999[/C][/ROW]
[ROW][C]13[/C][C]1.21995[/C][C]0.00550726792520571[/C][C]0.0127999999999999[/C][/ROW]
[ROW][C]14[/C][C]1.2225[/C][C]0.0307535363820163[/C][C]0.0661[/C][/ROW]
[ROW][C]15[/C][C]1.207325[/C][C]0.0454522001667686[/C][C]0.0921[/C][/ROW]
[ROW][C]16[/C][C]1.1349[/C][C]0.0230473425800025[/C][C]0.0524[/C][/ROW]
[ROW][C]17[/C][C]1.10025[/C][C]0.0387548276562632[/C][C]0.0809[/C][/ROW]
[ROW][C]18[/C][C]1.01575[/C][C]0.0344995169048302[/C][C]0.0811[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36968&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36968&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	1.516675	0.0628827679098176	0.1401
2	1.53955	0.0442832172875157	0.100200000000000
3	1.454975	0.0224283117212746	0.0490999999999999
4	1.366325	0.0198590659397666	0.0476999999999999
5	1.333575	0.0216413762655397	0.0442
6	1.2926	0.0250963476758405	0.0601999999999998
7	1.2718	0.00695461477485752	0.0161
8	1.224975	0.0374648613147484	0.0832
9	1.194	0.0144874658469542	0.0316999999999998
10	1.21875	0.0113679373678782	0.0255000000000001
11	1.296175	0.0209940269283114	0.0507
12	1.3002	0.0383314492290599	0.0917999999999999
13	1.21995	0.00550726792520571	0.0127999999999999
14	1.2225	0.0307535363820163	0.0661
15	1.207325	0.0454522001667686	0.0921
16	1.1349	0.0230473425800025	0.0524
17	1.10025	0.0387548276562632	0.0809
18	1.01575	0.0344995169048302	0.0811

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.00991278630692595
beta	0.0297786162497534
S.D.	0.0263928840289284
T-STAT	1.12828201029921
p-value	0.275835671980169

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.00991278630692595 \tabularnewline
beta & 0.0297786162497534 \tabularnewline
S.D. & 0.0263928840289284 \tabularnewline
T-STAT & 1.12828201029921 \tabularnewline
p-value & 0.275835671980169 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36968&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.00991278630692595[/C][/ROW]
[ROW][C]beta[/C][C]0.0297786162497534[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0263928840289284[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.12828201029921[/C][/ROW]
[ROW][C]p-value[/C][C]0.275835671980169[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36968&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36968&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	-0.00991278630692595
beta	0.0297786162497534
S.D.	0.0263928840289284
T-STAT	1.12828201029921
p-value	0.275835671980169

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.97109571709368
beta	0.968042720759753
S.D.	1.50686216530435
T-STAT	0.642422872542051
p-value	0.52969714393224
Lambda	0.0319572792402470

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.97109571709368 \tabularnewline
beta & 0.968042720759753 \tabularnewline
S.D. & 1.50686216530435 \tabularnewline
T-STAT & 0.642422872542051 \tabularnewline
p-value & 0.52969714393224 \tabularnewline
Lambda & 0.0319572792402470 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36968&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.97109571709368[/C][/ROW]
[ROW][C]beta[/C][C]0.968042720759753[/C][/ROW]
[ROW][C]S.D.[/C][C]1.50686216530435[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.642422872542051[/C][/ROW]
[ROW][C]p-value[/C][C]0.52969714393224[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0319572792402470[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36968&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36968&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	-3.97109571709368
beta	0.968042720759753
S.D.	1.50686216530435
T-STAT	0.642422872542051
p-value	0.52969714393224
Lambda	0.0319572792402470

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