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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, 19 May 2008 11:33:54 -0600

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/2008/May/19/t1211218486cln1y6wuz3neyx1.htm/, Retrieved Tue, 14 May 2024 01:24:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12910, Retrieved Tue, 14 May 2024 01:24:08 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

161

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

-       [Standard Deviation-Mean Plot] [Nicky Van Calster...] [2008-05-19 17:33:54] [9e4ffec01482233a36a742caf4f37457] [Current]

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Dataseries X:

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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' @ 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12910&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12910&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12910&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	0.681925	0.01715526061203	0.0378900000000001
2	0.6566075	0.0043586112084776	0.00988999999999995
3	0.6390575	0.00945891246391467	0.02032
4	0.6104125	0.00884133992484548	0.02032
5	0.61523	0.0130697232819470	0.02776
6	0.6027175	0.0103972925161633	0.0240899999999999
7	0.6299075	0.00602634977964827	0.0131200000000000
8	0.6143675	0.00851021885735028	0.01815
9	0.621335	0.00254446458022112	0.00554999999999994
10	0.6144975	0.00219665465348255	0.00498999999999994
11	0.6368275	0.00657863397674627	0.0158200000000001
12	0.6349475	0.00579705888073139	0.0122300000000000
13	0.6746125	0.0141464633389409	0.03191
14	0.703775	0.00641981567752012	0.01403
15	0.697325	0.00375895818900222	0.00918000000000008
16	0.6764025	0.0115138246613944	0.02683
17	0.6677575	0.00333576952641117	0.00729000000000002
18	0.69159	0.00746001787307956	0.01732
19	0.6909025	0.0065173377744802	0.0157400000000000
20	0.6814425	0.00845824794702383	0.0186099999999999
21	0.67938	0.00154451718453807	0.00377000000000005
22	0.6882325	0.0049981488239814	0.01166
23	0.6836175	0.00500029582458211	0.0111300000000000
24	0.67362	0.00116713324003729	0.00256999999999996
25	0.67274	0.00834420757172302	0.0167999999999999
26	0.67726	0.00304626547322016	0.00695999999999997
27	0.7036525	0.0140440340239785	0.0317700000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.681925 & 0.01715526061203 & 0.0378900000000001 \tabularnewline
2 & 0.6566075 & 0.0043586112084776 & 0.00988999999999995 \tabularnewline
3 & 0.6390575 & 0.00945891246391467 & 0.02032 \tabularnewline
4 & 0.6104125 & 0.00884133992484548 & 0.02032 \tabularnewline
5 & 0.61523 & 0.0130697232819470 & 0.02776 \tabularnewline
6 & 0.6027175 & 0.0103972925161633 & 0.0240899999999999 \tabularnewline
7 & 0.6299075 & 0.00602634977964827 & 0.0131200000000000 \tabularnewline
8 & 0.6143675 & 0.00851021885735028 & 0.01815 \tabularnewline
9 & 0.621335 & 0.00254446458022112 & 0.00554999999999994 \tabularnewline
10 & 0.6144975 & 0.00219665465348255 & 0.00498999999999994 \tabularnewline
11 & 0.6368275 & 0.00657863397674627 & 0.0158200000000001 \tabularnewline
12 & 0.6349475 & 0.00579705888073139 & 0.0122300000000000 \tabularnewline
13 & 0.6746125 & 0.0141464633389409 & 0.03191 \tabularnewline
14 & 0.703775 & 0.00641981567752012 & 0.01403 \tabularnewline
15 & 0.697325 & 0.00375895818900222 & 0.00918000000000008 \tabularnewline
16 & 0.6764025 & 0.0115138246613944 & 0.02683 \tabularnewline
17 & 0.6677575 & 0.00333576952641117 & 0.00729000000000002 \tabularnewline
18 & 0.69159 & 0.00746001787307956 & 0.01732 \tabularnewline
19 & 0.6909025 & 0.0065173377744802 & 0.0157400000000000 \tabularnewline
20 & 0.6814425 & 0.00845824794702383 & 0.0186099999999999 \tabularnewline
21 & 0.67938 & 0.00154451718453807 & 0.00377000000000005 \tabularnewline
22 & 0.6882325 & 0.0049981488239814 & 0.01166 \tabularnewline
23 & 0.6836175 & 0.00500029582458211 & 0.0111300000000000 \tabularnewline
24 & 0.67362 & 0.00116713324003729 & 0.00256999999999996 \tabularnewline
25 & 0.67274 & 0.00834420757172302 & 0.0167999999999999 \tabularnewline
26 & 0.67726 & 0.00304626547322016 & 0.00695999999999997 \tabularnewline
27 & 0.7036525 & 0.0140440340239785 & 0.0317700000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12910&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]0.681925[/C][C]0.01715526061203[/C][C]0.0378900000000001[/C][/ROW]
[ROW][C]2[/C][C]0.6566075[/C][C]0.0043586112084776[/C][C]0.00988999999999995[/C][/ROW]
[ROW][C]3[/C][C]0.6390575[/C][C]0.00945891246391467[/C][C]0.02032[/C][/ROW]
[ROW][C]4[/C][C]0.6104125[/C][C]0.00884133992484548[/C][C]0.02032[/C][/ROW]
[ROW][C]5[/C][C]0.61523[/C][C]0.0130697232819470[/C][C]0.02776[/C][/ROW]
[ROW][C]6[/C][C]0.6027175[/C][C]0.0103972925161633[/C][C]0.0240899999999999[/C][/ROW]
[ROW][C]7[/C][C]0.6299075[/C][C]0.00602634977964827[/C][C]0.0131200000000000[/C][/ROW]
[ROW][C]8[/C][C]0.6143675[/C][C]0.00851021885735028[/C][C]0.01815[/C][/ROW]
[ROW][C]9[/C][C]0.621335[/C][C]0.00254446458022112[/C][C]0.00554999999999994[/C][/ROW]
[ROW][C]10[/C][C]0.6144975[/C][C]0.00219665465348255[/C][C]0.00498999999999994[/C][/ROW]
[ROW][C]11[/C][C]0.6368275[/C][C]0.00657863397674627[/C][C]0.0158200000000001[/C][/ROW]
[ROW][C]12[/C][C]0.6349475[/C][C]0.00579705888073139[/C][C]0.0122300000000000[/C][/ROW]
[ROW][C]13[/C][C]0.6746125[/C][C]0.0141464633389409[/C][C]0.03191[/C][/ROW]
[ROW][C]14[/C][C]0.703775[/C][C]0.00641981567752012[/C][C]0.01403[/C][/ROW]
[ROW][C]15[/C][C]0.697325[/C][C]0.00375895818900222[/C][C]0.00918000000000008[/C][/ROW]
[ROW][C]16[/C][C]0.6764025[/C][C]0.0115138246613944[/C][C]0.02683[/C][/ROW]
[ROW][C]17[/C][C]0.6677575[/C][C]0.00333576952641117[/C][C]0.00729000000000002[/C][/ROW]
[ROW][C]18[/C][C]0.69159[/C][C]0.00746001787307956[/C][C]0.01732[/C][/ROW]
[ROW][C]19[/C][C]0.6909025[/C][C]0.0065173377744802[/C][C]0.0157400000000000[/C][/ROW]
[ROW][C]20[/C][C]0.6814425[/C][C]0.00845824794702383[/C][C]0.0186099999999999[/C][/ROW]
[ROW][C]21[/C][C]0.67938[/C][C]0.00154451718453807[/C][C]0.00377000000000005[/C][/ROW]
[ROW][C]22[/C][C]0.6882325[/C][C]0.0049981488239814[/C][C]0.01166[/C][/ROW]
[ROW][C]23[/C][C]0.6836175[/C][C]0.00500029582458211[/C][C]0.0111300000000000[/C][/ROW]
[ROW][C]24[/C][C]0.67362[/C][C]0.00116713324003729[/C][C]0.00256999999999996[/C][/ROW]
[ROW][C]25[/C][C]0.67274[/C][C]0.00834420757172302[/C][C]0.0167999999999999[/C][/ROW]
[ROW][C]26[/C][C]0.67726[/C][C]0.00304626547322016[/C][C]0.00695999999999997[/C][/ROW]
[ROW][C]27[/C][C]0.7036525[/C][C]0.0140440340239785[/C][C]0.0317700000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12910&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12910&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	0.681925	0.01715526061203	0.0378900000000001
2	0.6566075	0.0043586112084776	0.00988999999999995
3	0.6390575	0.00945891246391467	0.02032
4	0.6104125	0.00884133992484548	0.02032
5	0.61523	0.0130697232819470	0.02776
6	0.6027175	0.0103972925161633	0.0240899999999999
7	0.6299075	0.00602634977964827	0.0131200000000000
8	0.6143675	0.00851021885735028	0.01815
9	0.621335	0.00254446458022112	0.00554999999999994
10	0.6144975	0.00219665465348255	0.00498999999999994
11	0.6368275	0.00657863397674627	0.0158200000000001
12	0.6349475	0.00579705888073139	0.0122300000000000
13	0.6746125	0.0141464633389409	0.03191
14	0.703775	0.00641981567752012	0.01403
15	0.697325	0.00375895818900222	0.00918000000000008
16	0.6764025	0.0115138246613944	0.02683
17	0.6677575	0.00333576952641117	0.00729000000000002
18	0.69159	0.00746001787307956	0.01732
19	0.6909025	0.0065173377744802	0.0157400000000000
20	0.6814425	0.00845824794702383	0.0186099999999999
21	0.67938	0.00154451718453807	0.00377000000000005
22	0.6882325	0.0049981488239814	0.01166
23	0.6836175	0.00500029582458211	0.0111300000000000
24	0.67362	0.00116713324003729	0.00256999999999996
25	0.67274	0.00834420757172302	0.0167999999999999
26	0.67726	0.00304626547322016	0.00695999999999997
27	0.7036525	0.0140440340239785	0.0317700000000000

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.00682925040249366
beta	0.000577986230926155
S.D.	0.0258954494306893
T-STAT	0.0223199922624695
p-value	0.982369898533604

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.00682925040249366 \tabularnewline
beta & 0.000577986230926155 \tabularnewline
S.D. & 0.0258954494306893 \tabularnewline
T-STAT & 0.0223199922624695 \tabularnewline
p-value & 0.982369898533604 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12910&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.00682925040249366[/C][/ROW]
[ROW][C]beta[/C][C]0.000577986230926155[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0258954494306893[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0223199922624695[/C][/ROW]
[ROW][C]p-value[/C][C]0.982369898533604[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12910&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12910&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	0.00682925040249366
beta	0.000577986230926155
S.D.	0.0258954494306893
T-STAT	0.0223199922624695
p-value	0.982369898533604

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.31925219059089
beta	-0.466527642539913
S.D.	2.76763218639692
T-STAT	-0.168565622568246
p-value	0.867494700640008
Lambda	1.46652764253991

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.31925219059089 \tabularnewline
beta & -0.466527642539913 \tabularnewline
S.D. & 2.76763218639692 \tabularnewline
T-STAT & -0.168565622568246 \tabularnewline
p-value & 0.867494700640008 \tabularnewline
Lambda & 1.46652764253991 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12910&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.31925219059089[/C][/ROW]
[ROW][C]beta[/C][C]-0.466527642539913[/C][/ROW]
[ROW][C]S.D.[/C][C]2.76763218639692[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.168565622568246[/C][/ROW]
[ROW][C]p-value[/C][C]0.867494700640008[/C][/ROW]
[ROW][C]Lambda[/C][C]1.46652764253991[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12910&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12910&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	-5.31925219059089
beta	-0.466527642539913
S.D.	2.76763218639692
T-STAT	-0.168565622568246
p-value	0.867494700640008
Lambda	1.46652764253991

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