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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, 07 Dec 2010 21:27:00 +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/2010/Dec/07/t1291757106ba8dg2df1gfwizu.htm/, Retrieved Sat, 04 May 2024 00:10:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106758, Retrieved Sat, 04 May 2024 00:10:39 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

107

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

-     [] [oef 8.3.3] [1970-01-01 00:00:00] [04d4ebd708b081bb203cd3af96bd9a4a]
- RMPD    [Standard Deviation-Mean Plot] [oef 8.3.3 ] [2010-12-07 21:27:00] [c4eb40020db64a143131e9d41e371811] [Current]
-   PD      [Standard Deviation-Mean Plot] [Verbetering opgav...] [2011-01-16 15:39:13] [74be16979710d4c4e7c6647856088456] 
- RMPD      [Exponential Smoothing] [OPgave 10] [2011-01-16 16:22:39] [74be16979710d4c4e7c6647856088456] 
- RMPD      [Exponential Smoothing] [Opgave 10.1] [2011-01-16 16:22:39] [74be16979710d4c4e7c6647856088456] 
- RMP       [Exponential Smoothing] [opgave 10.2] [2011-01-16 16:27:04] [74be16979710d4c4e7c6647856088456] 

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Dataseries X:

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Histogram

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=106758&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=106758&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106758&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	101.3575	0.333803834609491	0.730000000000004
2	101.805	0.009999999999998	0.019999999999996
3	102.2325	0.16780444968276	0.359999999999999
4	102.475	0.142711830857386	0.320000000000007
5	102.7025	0.0170782512765949	0.039999999999992
6	102.9675	0.114127122105134	0.25
7	103.14	0.0469041575982371	0.0900000000000034
8	103.2425	0.0150000000000006	0.0300000000000011
9	103.6	0.10230672835482	0.230000000000004
10	103.83	0.141185457230313	0.319999999999993
11	104.17	0.0294392028877633	0.0700000000000074
12	104.7625	0.181911150473703	0.390000000000001
13	105.11	0.219241115365399	0.449999999999989
14	105.4625	0.0170782512766018	0.0400000000000063
15	106.0675	0.218536800867345	0.480000000000004
16	106.33	0.111654228162964	0.240000000000009
17	106.545	0.0173205080756908	0.0400000000000063
18	107.125	0.176729548557486	0.390000000000001
19	107.3575	0.0780491298264538	0.170000000000002
20	107.3225	0.0125830573921196	0.0300000000000011
21	107.6975	0.115289490703476	0.260000000000005
22	107.8425	0.0464578662158905	0.100000000000009
23	107.78	0.0424264068711933	0.0900000000000034
24	107.825	0.026457513110646	0.0600000000000023

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 101.3575 & 0.333803834609491 & 0.730000000000004 \tabularnewline
2 & 101.805 & 0.009999999999998 & 0.019999999999996 \tabularnewline
3 & 102.2325 & 0.16780444968276 & 0.359999999999999 \tabularnewline
4 & 102.475 & 0.142711830857386 & 0.320000000000007 \tabularnewline
5 & 102.7025 & 0.0170782512765949 & 0.039999999999992 \tabularnewline
6 & 102.9675 & 0.114127122105134 & 0.25 \tabularnewline
7 & 103.14 & 0.0469041575982371 & 0.0900000000000034 \tabularnewline
8 & 103.2425 & 0.0150000000000006 & 0.0300000000000011 \tabularnewline
9 & 103.6 & 0.10230672835482 & 0.230000000000004 \tabularnewline
10 & 103.83 & 0.141185457230313 & 0.319999999999993 \tabularnewline
11 & 104.17 & 0.0294392028877633 & 0.0700000000000074 \tabularnewline
12 & 104.7625 & 0.181911150473703 & 0.390000000000001 \tabularnewline
13 & 105.11 & 0.219241115365399 & 0.449999999999989 \tabularnewline
14 & 105.4625 & 0.0170782512766018 & 0.0400000000000063 \tabularnewline
15 & 106.0675 & 0.218536800867345 & 0.480000000000004 \tabularnewline
16 & 106.33 & 0.111654228162964 & 0.240000000000009 \tabularnewline
17 & 106.545 & 0.0173205080756908 & 0.0400000000000063 \tabularnewline
18 & 107.125 & 0.176729548557486 & 0.390000000000001 \tabularnewline
19 & 107.3575 & 0.0780491298264538 & 0.170000000000002 \tabularnewline
20 & 107.3225 & 0.0125830573921196 & 0.0300000000000011 \tabularnewline
21 & 107.6975 & 0.115289490703476 & 0.260000000000005 \tabularnewline
22 & 107.8425 & 0.0464578662158905 & 0.100000000000009 \tabularnewline
23 & 107.78 & 0.0424264068711933 & 0.0900000000000034 \tabularnewline
24 & 107.825 & 0.026457513110646 & 0.0600000000000023 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106758&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]101.3575[/C][C]0.333803834609491[/C][C]0.730000000000004[/C][/ROW]
[ROW][C]2[/C][C]101.805[/C][C]0.009999999999998[/C][C]0.019999999999996[/C][/ROW]
[ROW][C]3[/C][C]102.2325[/C][C]0.16780444968276[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]4[/C][C]102.475[/C][C]0.142711830857386[/C][C]0.320000000000007[/C][/ROW]
[ROW][C]5[/C][C]102.7025[/C][C]0.0170782512765949[/C][C]0.039999999999992[/C][/ROW]
[ROW][C]6[/C][C]102.9675[/C][C]0.114127122105134[/C][C]0.25[/C][/ROW]
[ROW][C]7[/C][C]103.14[/C][C]0.0469041575982371[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]8[/C][C]103.2425[/C][C]0.0150000000000006[/C][C]0.0300000000000011[/C][/ROW]
[ROW][C]9[/C][C]103.6[/C][C]0.10230672835482[/C][C]0.230000000000004[/C][/ROW]
[ROW][C]10[/C][C]103.83[/C][C]0.141185457230313[/C][C]0.319999999999993[/C][/ROW]
[ROW][C]11[/C][C]104.17[/C][C]0.0294392028877633[/C][C]0.0700000000000074[/C][/ROW]
[ROW][C]12[/C][C]104.7625[/C][C]0.181911150473703[/C][C]0.390000000000001[/C][/ROW]
[ROW][C]13[/C][C]105.11[/C][C]0.219241115365399[/C][C]0.449999999999989[/C][/ROW]
[ROW][C]14[/C][C]105.4625[/C][C]0.0170782512766018[/C][C]0.0400000000000063[/C][/ROW]
[ROW][C]15[/C][C]106.0675[/C][C]0.218536800867345[/C][C]0.480000000000004[/C][/ROW]
[ROW][C]16[/C][C]106.33[/C][C]0.111654228162964[/C][C]0.240000000000009[/C][/ROW]
[ROW][C]17[/C][C]106.545[/C][C]0.0173205080756908[/C][C]0.0400000000000063[/C][/ROW]
[ROW][C]18[/C][C]107.125[/C][C]0.176729548557486[/C][C]0.390000000000001[/C][/ROW]
[ROW][C]19[/C][C]107.3575[/C][C]0.0780491298264538[/C][C]0.170000000000002[/C][/ROW]
[ROW][C]20[/C][C]107.3225[/C][C]0.0125830573921196[/C][C]0.0300000000000011[/C][/ROW]
[ROW][C]21[/C][C]107.6975[/C][C]0.115289490703476[/C][C]0.260000000000005[/C][/ROW]
[ROW][C]22[/C][C]107.8425[/C][C]0.0464578662158905[/C][C]0.100000000000009[/C][/ROW]
[ROW][C]23[/C][C]107.78[/C][C]0.0424264068711933[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]24[/C][C]107.825[/C][C]0.026457513110646[/C][C]0.0600000000000023[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106758&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106758&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	101.3575	0.333803834609491	0.730000000000004
2	101.805	0.009999999999998	0.019999999999996
3	102.2325	0.16780444968276	0.359999999999999
4	102.475	0.142711830857386	0.320000000000007
5	102.7025	0.0170782512765949	0.039999999999992
6	102.9675	0.114127122105134	0.25
7	103.14	0.0469041575982371	0.0900000000000034
8	103.2425	0.0150000000000006	0.0300000000000011
9	103.6	0.10230672835482	0.230000000000004
10	103.83	0.141185457230313	0.319999999999993
11	104.17	0.0294392028877633	0.0700000000000074
12	104.7625	0.181911150473703	0.390000000000001
13	105.11	0.219241115365399	0.449999999999989
14	105.4625	0.0170782512766018	0.0400000000000063
15	106.0675	0.218536800867345	0.480000000000004
16	106.33	0.111654228162964	0.240000000000009
17	106.545	0.0173205080756908	0.0400000000000063
18	107.125	0.176729548557486	0.390000000000001
19	107.3575	0.0780491298264538	0.170000000000002
20	107.3225	0.0125830573921196	0.0300000000000011
21	107.6975	0.115289490703476	0.260000000000005
22	107.8425	0.0464578662158905	0.100000000000009
23	107.78	0.0424264068711933	0.0900000000000034
24	107.825	0.026457513110646	0.0600000000000023

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.09982598208083
beta	-0.00953319204702273
S.D.	0.00808928528321087
T-STAT	-1.17849620989492
p-value	0.251188912917969

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.09982598208083 \tabularnewline
beta & -0.00953319204702273 \tabularnewline
S.D. & 0.00808928528321087 \tabularnewline
T-STAT & -1.17849620989492 \tabularnewline
p-value & 0.251188912917969 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106758&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.09982598208083[/C][/ROW]
[ROW][C]beta[/C][C]-0.00953319204702273[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00808928528321087[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.17849620989492[/C][/ROW]
[ROW][C]p-value[/C][C]0.251188912917969[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106758&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106758&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	1.09982598208083
beta	-0.00953319204702273
S.D.	0.00808928528321087
T-STAT	-1.17849620989492
p-value	0.251188912917969

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	21.8953877755884
beta	-5.30029892965768
S.D.	10.9322182376915
T-STAT	-0.484832887014972
p-value	0.632587350806013
Lambda	6.30029892965768

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 21.8953877755884 \tabularnewline
beta & -5.30029892965768 \tabularnewline
S.D. & 10.9322182376915 \tabularnewline
T-STAT & -0.484832887014972 \tabularnewline
p-value & 0.632587350806013 \tabularnewline
Lambda & 6.30029892965768 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106758&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.8953877755884[/C][/ROW]
[ROW][C]beta[/C][C]-5.30029892965768[/C][/ROW]
[ROW][C]S.D.[/C][C]10.9322182376915[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.484832887014972[/C][/ROW]
[ROW][C]p-value[/C][C]0.632587350806013[/C][/ROW]
[ROW][C]Lambda[/C][C]6.30029892965768[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106758&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106758&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	21.8953877755884
beta	-5.30029892965768
S.D.	10.9322182376915
T-STAT	-0.484832887014972
p-value	0.632587350806013
Lambda	6.30029892965768

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