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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 17 May 2008 08:09:17 -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/17/t1211033412mgwa9ddq4eutawl.htm/, Retrieved Tue, 14 May 2024 00:27:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12667, Retrieved Tue, 14 May 2024 00:27:35 +0000

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Original text written by user:

kara van den acker

IsPrivate?

No (this computation is public)

User-defined keywords

inleiding tot kwantitatief onderzoek

Estimated Impact

219

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

-       [Standard Deviation-Mean Plot] [opgave8(oefening3)] [2008-05-17 14:09:17] [90941d2aa133223de960c34c4b1bc975] [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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12667&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12667&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12667&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	109.025	2.85350661467605	5.8
2	105.1	1.06770782520313	2.39999999999999
3	106.975	2.58763083405136	6.2
4	113.25	0.896288643983253	1.90000000000001
5	112.25	1.28970280814354	2.80000000000000
6	113.675	1.60701586799882	3.59999999999999
7	119.775	2.76932603112502	5.9
8	120.875	2.69242765300512	6.1
9	122.35	4.98965596676431	11.3
10	129.9025	2.46863491292927	5.91
11	124.4325	1.72803115326856	3.67999999999999
12	126.175	3.13326772980967	6.52
13	129.3125	3.76010084084634	9.05
14	129.74	2.74839347013244	6.13
15	128.66	2.34320293615384	4.92
16	128.8425	4.79536147403579	9.7
17	127.74	2.34780748784904	5.37000000000002
18	127.445	1.25712635270551	2.69999999999999
19	132.3925	4.23034573055205	9.03
20	127.535	4.85574230507894	11.24
21	127.8375	3.37166007578858	7.09

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 109.025 & 2.85350661467605 & 5.8 \tabularnewline
2 & 105.1 & 1.06770782520313 & 2.39999999999999 \tabularnewline
3 & 106.975 & 2.58763083405136 & 6.2 \tabularnewline
4 & 113.25 & 0.896288643983253 & 1.90000000000001 \tabularnewline
5 & 112.25 & 1.28970280814354 & 2.80000000000000 \tabularnewline
6 & 113.675 & 1.60701586799882 & 3.59999999999999 \tabularnewline
7 & 119.775 & 2.76932603112502 & 5.9 \tabularnewline
8 & 120.875 & 2.69242765300512 & 6.1 \tabularnewline
9 & 122.35 & 4.98965596676431 & 11.3 \tabularnewline
10 & 129.9025 & 2.46863491292927 & 5.91 \tabularnewline
11 & 124.4325 & 1.72803115326856 & 3.67999999999999 \tabularnewline
12 & 126.175 & 3.13326772980967 & 6.52 \tabularnewline
13 & 129.3125 & 3.76010084084634 & 9.05 \tabularnewline
14 & 129.74 & 2.74839347013244 & 6.13 \tabularnewline
15 & 128.66 & 2.34320293615384 & 4.92 \tabularnewline
16 & 128.8425 & 4.79536147403579 & 9.7 \tabularnewline
17 & 127.74 & 2.34780748784904 & 5.37000000000002 \tabularnewline
18 & 127.445 & 1.25712635270551 & 2.69999999999999 \tabularnewline
19 & 132.3925 & 4.23034573055205 & 9.03 \tabularnewline
20 & 127.535 & 4.85574230507894 & 11.24 \tabularnewline
21 & 127.8375 & 3.37166007578858 & 7.09 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12667&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]109.025[/C][C]2.85350661467605[/C][C]5.8[/C][/ROW]
[ROW][C]2[/C][C]105.1[/C][C]1.06770782520313[/C][C]2.39999999999999[/C][/ROW]
[ROW][C]3[/C][C]106.975[/C][C]2.58763083405136[/C][C]6.2[/C][/ROW]
[ROW][C]4[/C][C]113.25[/C][C]0.896288643983253[/C][C]1.90000000000001[/C][/ROW]
[ROW][C]5[/C][C]112.25[/C][C]1.28970280814354[/C][C]2.80000000000000[/C][/ROW]
[ROW][C]6[/C][C]113.675[/C][C]1.60701586799882[/C][C]3.59999999999999[/C][/ROW]
[ROW][C]7[/C][C]119.775[/C][C]2.76932603112502[/C][C]5.9[/C][/ROW]
[ROW][C]8[/C][C]120.875[/C][C]2.69242765300512[/C][C]6.1[/C][/ROW]
[ROW][C]9[/C][C]122.35[/C][C]4.98965596676431[/C][C]11.3[/C][/ROW]
[ROW][C]10[/C][C]129.9025[/C][C]2.46863491292927[/C][C]5.91[/C][/ROW]
[ROW][C]11[/C][C]124.4325[/C][C]1.72803115326856[/C][C]3.67999999999999[/C][/ROW]
[ROW][C]12[/C][C]126.175[/C][C]3.13326772980967[/C][C]6.52[/C][/ROW]
[ROW][C]13[/C][C]129.3125[/C][C]3.76010084084634[/C][C]9.05[/C][/ROW]
[ROW][C]14[/C][C]129.74[/C][C]2.74839347013244[/C][C]6.13[/C][/ROW]
[ROW][C]15[/C][C]128.66[/C][C]2.34320293615384[/C][C]4.92[/C][/ROW]
[ROW][C]16[/C][C]128.8425[/C][C]4.79536147403579[/C][C]9.7[/C][/ROW]
[ROW][C]17[/C][C]127.74[/C][C]2.34780748784904[/C][C]5.37000000000002[/C][/ROW]
[ROW][C]18[/C][C]127.445[/C][C]1.25712635270551[/C][C]2.69999999999999[/C][/ROW]
[ROW][C]19[/C][C]132.3925[/C][C]4.23034573055205[/C][C]9.03[/C][/ROW]
[ROW][C]20[/C][C]127.535[/C][C]4.85574230507894[/C][C]11.24[/C][/ROW]
[ROW][C]21[/C][C]127.8375[/C][C]3.37166007578858[/C][C]7.09[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12667&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12667&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	109.025	2.85350661467605	5.8
2	105.1	1.06770782520313	2.39999999999999
3	106.975	2.58763083405136	6.2
4	113.25	0.896288643983253	1.90000000000001
5	112.25	1.28970280814354	2.80000000000000
6	113.675	1.60701586799882	3.59999999999999
7	119.775	2.76932603112502	5.9
8	120.875	2.69242765300512	6.1
9	122.35	4.98965596676431	11.3
10	129.9025	2.46863491292927	5.91
11	124.4325	1.72803115326856	3.67999999999999
12	126.175	3.13326772980967	6.52
13	129.3125	3.76010084084634	9.05
14	129.74	2.74839347013244	6.13
15	128.66	2.34320293615384	4.92
16	128.8425	4.79536147403579	9.7
17	127.74	2.34780748784904	5.37000000000002
18	127.445	1.25712635270551	2.69999999999999
19	132.3925	4.23034573055205	9.03
20	127.535	4.85574230507894	11.24
21	127.8375	3.37166007578858	7.09

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-6.16250683855626
beta	0.0730333205855686
S.D.	0.0289035423476638
T-STAT	2.52679480276478
p-value	0.0205444695990085

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -6.16250683855626 \tabularnewline
beta & 0.0730333205855686 \tabularnewline
S.D. & 0.0289035423476638 \tabularnewline
T-STAT & 2.52679480276478 \tabularnewline
p-value & 0.0205444695990085 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12667&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.16250683855626[/C][/ROW]
[ROW][C]beta[/C][C]0.0730333205855686[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0289035423476638[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.52679480276478[/C][/ROW]
[ROW][C]p-value[/C][C]0.0205444695990085[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12667&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12667&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	-6.16250683855626
beta	0.0730333205855686
S.D.	0.0289035423476638
T-STAT	2.52679480276478
p-value	0.0205444695990085

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-16.9427251240603
beta	3.71627382435945
S.D.	1.34826044210137
T-STAT	2.75634714800898
p-value	0.0125608643288637
Lambda	-2.71627382435945

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -16.9427251240603 \tabularnewline
beta & 3.71627382435945 \tabularnewline
S.D. & 1.34826044210137 \tabularnewline
T-STAT & 2.75634714800898 \tabularnewline
p-value & 0.0125608643288637 \tabularnewline
Lambda & -2.71627382435945 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12667&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-16.9427251240603[/C][/ROW]
[ROW][C]beta[/C][C]3.71627382435945[/C][/ROW]
[ROW][C]S.D.[/C][C]1.34826044210137[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.75634714800898[/C][/ROW]
[ROW][C]p-value[/C][C]0.0125608643288637[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.71627382435945[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12667&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12667&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	-16.9427251240603
beta	3.71627382435945
S.D.	1.34826044210137
T-STAT	2.75634714800898
p-value	0.0125608643288637
Lambda	-2.71627382435945

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