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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

Wed, 07 Dec 2011 14:45:40 -0500

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/Dec/07/t1323287179wuebxiiw9i7v67x.htm/, Retrieved Fri, 03 May 2024 02:33:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=152657, Retrieved Fri, 03 May 2024 02:33:02 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [spreidings- en ge...] [2011-12-07 19:45:40] [be958d63cbc449c3910bbbf4c2665e23] [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	'George Udny Yule' @ yule.wessa.net

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152657&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152657&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152657&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	123.63	0.486826457785521	0.989999999999995
2	124.3775	0.266630205840723	0.61
3	124.9225	0.0960468635614882	0.179999999999993
4	128.41	0.109848380355226	0.25
5	128.8425	0.100124921972494	0.20999999999998
6	129.0875	0.205324945716131	0.439999999999998
7	129.73	0.359907395496863	0.77000000000001
8	129.805	0.158429795177554	0.330000000000013
9	129.2725	0.326840939908083	0.599999999999994
10	128.61	0.318642955882182	0.689999999999998
11	128.4525	0.111168040971008	0.269999999999982
12	128.22	0.264701089281231	0.550000000000011
13	128.2525	0.169975488428975	0.370000000000005
14	128.74	0.546747961435005	1.09999999999999
15	129.505	0.10785793124909	0.25
16	129.8225	0.284648906549804	0.689999999999998
17	129.99	0.076594168620519	0.160000000000025
18	131.03	0.67077070100991	1.39999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 123.63 & 0.486826457785521 & 0.989999999999995 \tabularnewline
2 & 124.3775 & 0.266630205840723 & 0.61 \tabularnewline
3 & 124.9225 & 0.0960468635614882 & 0.179999999999993 \tabularnewline
4 & 128.41 & 0.109848380355226 & 0.25 \tabularnewline
5 & 128.8425 & 0.100124921972494 & 0.20999999999998 \tabularnewline
6 & 129.0875 & 0.205324945716131 & 0.439999999999998 \tabularnewline
7 & 129.73 & 0.359907395496863 & 0.77000000000001 \tabularnewline
8 & 129.805 & 0.158429795177554 & 0.330000000000013 \tabularnewline
9 & 129.2725 & 0.326840939908083 & 0.599999999999994 \tabularnewline
10 & 128.61 & 0.318642955882182 & 0.689999999999998 \tabularnewline
11 & 128.4525 & 0.111168040971008 & 0.269999999999982 \tabularnewline
12 & 128.22 & 0.264701089281231 & 0.550000000000011 \tabularnewline
13 & 128.2525 & 0.169975488428975 & 0.370000000000005 \tabularnewline
14 & 128.74 & 0.546747961435005 & 1.09999999999999 \tabularnewline
15 & 129.505 & 0.10785793124909 & 0.25 \tabularnewline
16 & 129.8225 & 0.284648906549804 & 0.689999999999998 \tabularnewline
17 & 129.99 & 0.076594168620519 & 0.160000000000025 \tabularnewline
18 & 131.03 & 0.67077070100991 & 1.39999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152657&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]123.63[/C][C]0.486826457785521[/C][C]0.989999999999995[/C][/ROW]
[ROW][C]2[/C][C]124.3775[/C][C]0.266630205840723[/C][C]0.61[/C][/ROW]
[ROW][C]3[/C][C]124.9225[/C][C]0.0960468635614882[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]4[/C][C]128.41[/C][C]0.109848380355226[/C][C]0.25[/C][/ROW]
[ROW][C]5[/C][C]128.8425[/C][C]0.100124921972494[/C][C]0.20999999999998[/C][/ROW]
[ROW][C]6[/C][C]129.0875[/C][C]0.205324945716131[/C][C]0.439999999999998[/C][/ROW]
[ROW][C]7[/C][C]129.73[/C][C]0.359907395496863[/C][C]0.77000000000001[/C][/ROW]
[ROW][C]8[/C][C]129.805[/C][C]0.158429795177554[/C][C]0.330000000000013[/C][/ROW]
[ROW][C]9[/C][C]129.2725[/C][C]0.326840939908083[/C][C]0.599999999999994[/C][/ROW]
[ROW][C]10[/C][C]128.61[/C][C]0.318642955882182[/C][C]0.689999999999998[/C][/ROW]
[ROW][C]11[/C][C]128.4525[/C][C]0.111168040971008[/C][C]0.269999999999982[/C][/ROW]
[ROW][C]12[/C][C]128.22[/C][C]0.264701089281231[/C][C]0.550000000000011[/C][/ROW]
[ROW][C]13[/C][C]128.2525[/C][C]0.169975488428975[/C][C]0.370000000000005[/C][/ROW]
[ROW][C]14[/C][C]128.74[/C][C]0.546747961435005[/C][C]1.09999999999999[/C][/ROW]
[ROW][C]15[/C][C]129.505[/C][C]0.10785793124909[/C][C]0.25[/C][/ROW]
[ROW][C]16[/C][C]129.8225[/C][C]0.284648906549804[/C][C]0.689999999999998[/C][/ROW]
[ROW][C]17[/C][C]129.99[/C][C]0.076594168620519[/C][C]0.160000000000025[/C][/ROW]
[ROW][C]18[/C][C]131.03[/C][C]0.67077070100991[/C][C]1.39999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152657&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152657&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	123.63	0.486826457785521	0.989999999999995
2	124.3775	0.266630205840723	0.61
3	124.9225	0.0960468635614882	0.179999999999993
4	128.41	0.109848380355226	0.25
5	128.8425	0.100124921972494	0.20999999999998
6	129.0875	0.205324945716131	0.439999999999998
7	129.73	0.359907395496863	0.77000000000001
8	129.805	0.158429795177554	0.330000000000013
9	129.2725	0.326840939908083	0.599999999999994
10	128.61	0.318642955882182	0.689999999999998
11	128.4525	0.111168040971008	0.269999999999982
12	128.22	0.264701089281231	0.550000000000011
13	128.2525	0.169975488428975	0.370000000000005
14	128.74	0.546747961435005	1.09999999999999
15	129.505	0.10785793124909	0.25
16	129.8225	0.284648906549804	0.689999999999998
17	129.99	0.076594168620519	0.160000000000025
18	131.03	0.67077070100991	1.39999999999998

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.0564088236760797
beta	0.00245659149842526
S.D.	0.021179197259254
T-STAT	0.115990774737786
p-value	0.909103195481275

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0564088236760797 \tabularnewline
beta & 0.00245659149842526 \tabularnewline
S.D. & 0.021179197259254 \tabularnewline
T-STAT & 0.115990774737786 \tabularnewline
p-value & 0.909103195481275 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152657&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0564088236760797[/C][/ROW]
[ROW][C]beta[/C][C]0.00245659149842526[/C][/ROW]
[ROW][C]S.D.[/C][C]0.021179197259254[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.115990774737786[/C][/ROW]
[ROW][C]p-value[/C][C]0.909103195481275[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152657&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152657&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	-0.0564088236760797
beta	0.00245659149842526
S.D.	0.021179197259254
T-STAT	0.115990774737786
p-value	0.909103195481275

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.41593429069379
beta	-0.817569414708352
S.D.	10.396646245947
T-STAT	-0.0786378025535944
p-value	0.938295809551548
Lambda	1.81756941470835

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.41593429069379 \tabularnewline
beta & -0.817569414708352 \tabularnewline
S.D. & 10.396646245947 \tabularnewline
T-STAT & -0.0786378025535944 \tabularnewline
p-value & 0.938295809551548 \tabularnewline
Lambda & 1.81756941470835 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152657&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.41593429069379[/C][/ROW]
[ROW][C]beta[/C][C]-0.817569414708352[/C][/ROW]
[ROW][C]S.D.[/C][C]10.396646245947[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0786378025535944[/C][/ROW]
[ROW][C]p-value[/C][C]0.938295809551548[/C][/ROW]
[ROW][C]Lambda[/C][C]1.81756941470835[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152657&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152657&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	2.41593429069379
beta	-0.817569414708352
S.D.	10.396646245947
T-STAT	-0.0786378025535944
p-value	0.938295809551548
Lambda	1.81756941470835

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code