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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Thu, 31 Jan 2019 17:04:39 +0100

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/2019/Jan/31/t1548950695vty7f1m44mmfq9n.htm/, Retrieved Sun, 05 May 2024 20:07:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318661, Retrieved Sun, 05 May 2024 20:07:04 +0000

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Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2019-01-31 16:04:39] [f48dd950efdeb6aee6e03304ad17afc9] [Current]

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Dataseries X:

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Histogram

Boxplots

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16
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NA
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17
17
15
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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	1 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318661&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=318661&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318661&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	1 seconds
R Server	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	15.8571428571429	1.4638501094228	4
2	15.8333333333333	0.983192080250175	3
3	15.3333333333333	1.5	4
4	15.2222222222222	1.56347191994114	5
5	14.4285714285714	2.29906813420444	6
6	15.3	1.56702123647242	5
7	14.8571428571429	2.41029537806548	7
8	17.1428571428571	1.77281052085584	6
9	16	1.89736659610103	5
10	15	1.67332005306815	4
11	14.3333333333333	1.75119007154183	5
12	16	2.82842712474619	8
13	15.1111111111111	2.14734978778752	7
14	16.5	1.37840487520902	3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15.8571428571429 & 1.4638501094228 & 4 \tabularnewline
2 & 15.8333333333333 & 0.983192080250175 & 3 \tabularnewline
3 & 15.3333333333333 & 1.5 & 4 \tabularnewline
4 & 15.2222222222222 & 1.56347191994114 & 5 \tabularnewline
5 & 14.4285714285714 & 2.29906813420444 & 6 \tabularnewline
6 & 15.3 & 1.56702123647242 & 5 \tabularnewline
7 & 14.8571428571429 & 2.41029537806548 & 7 \tabularnewline
8 & 17.1428571428571 & 1.77281052085584 & 6 \tabularnewline
9 & 16 & 1.89736659610103 & 5 \tabularnewline
10 & 15 & 1.67332005306815 & 4 \tabularnewline
11 & 14.3333333333333 & 1.75119007154183 & 5 \tabularnewline
12 & 16 & 2.82842712474619 & 8 \tabularnewline
13 & 15.1111111111111 & 2.14734978778752 & 7 \tabularnewline
14 & 16.5 & 1.37840487520902 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318661&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]15.8571428571429[/C][C]1.4638501094228[/C][C]4[/C][/ROW]
[ROW][C]2[/C][C]15.8333333333333[/C][C]0.983192080250175[/C][C]3[/C][/ROW]
[ROW][C]3[/C][C]15.3333333333333[/C][C]1.5[/C][C]4[/C][/ROW]
[ROW][C]4[/C][C]15.2222222222222[/C][C]1.56347191994114[/C][C]5[/C][/ROW]
[ROW][C]5[/C][C]14.4285714285714[/C][C]2.29906813420444[/C][C]6[/C][/ROW]
[ROW][C]6[/C][C]15.3[/C][C]1.56702123647242[/C][C]5[/C][/ROW]
[ROW][C]7[/C][C]14.8571428571429[/C][C]2.41029537806548[/C][C]7[/C][/ROW]
[ROW][C]8[/C][C]17.1428571428571[/C][C]1.77281052085584[/C][C]6[/C][/ROW]
[ROW][C]9[/C][C]16[/C][C]1.89736659610103[/C][C]5[/C][/ROW]
[ROW][C]10[/C][C]15[/C][C]1.67332005306815[/C][C]4[/C][/ROW]
[ROW][C]11[/C][C]14.3333333333333[/C][C]1.75119007154183[/C][C]5[/C][/ROW]
[ROW][C]12[/C][C]16[/C][C]2.82842712474619[/C][C]8[/C][/ROW]
[ROW][C]13[/C][C]15.1111111111111[/C][C]2.14734978778752[/C][C]7[/C][/ROW]
[ROW][C]14[/C][C]16.5[/C][C]1.37840487520902[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318661&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318661&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	15.8571428571429	1.4638501094228	4
2	15.8333333333333	0.983192080250175	3
3	15.3333333333333	1.5	4
4	15.2222222222222	1.56347191994114	5
5	14.4285714285714	2.29906813420444	6
6	15.3	1.56702123647242	5
7	14.8571428571429	2.41029537806548	7
8	17.1428571428571	1.77281052085584	6
9	16	1.89736659610103	5
10	15	1.67332005306815	4
11	14.3333333333333	1.75119007154183	5
12	16	2.82842712474619	8
13	15.1111111111111	2.14734978778752	7
14	16.5	1.37840487520902	3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	3.90948650063532
beta	-0.135981802635567
S.D.	0.173031887246348
T-STAT	-0.785877128196421
p-value	0.447180044715744

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.90948650063532 \tabularnewline
beta & -0.135981802635567 \tabularnewline
S.D. & 0.173031887246348 \tabularnewline
T-STAT & -0.785877128196421 \tabularnewline
p-value & 0.447180044715744 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318661&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.90948650063532[/C][/ROW]
[ROW][C]beta[/C][C]-0.135981802635567[/C][/ROW]
[ROW][C]S.D.[/C][C]0.173031887246348[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.785877128196421[/C][/ROW]
[ROW][C]p-value[/C][C]0.447180044715744[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318661&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318661&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	3.90948650063532
beta	-0.135981802635567
S.D.	0.173031887246348
T-STAT	-0.785877128196421
p-value	0.447180044715744

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.27405671418094
beta	-1.35711877221036
S.D.	1.49444749413201
T-STAT	-0.908107362446069
p-value	0.381697050188633
Lambda	2.35711877221036

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.27405671418094 \tabularnewline
beta & -1.35711877221036 \tabularnewline
S.D. & 1.49444749413201 \tabularnewline
T-STAT & -0.908107362446069 \tabularnewline
p-value & 0.381697050188633 \tabularnewline
Lambda & 2.35711877221036 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318661&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.27405671418094[/C][/ROW]
[ROW][C]beta[/C][C]-1.35711877221036[/C][/ROW]
[ROW][C]S.D.[/C][C]1.49444749413201[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.908107362446069[/C][/ROW]
[ROW][C]p-value[/C][C]0.381697050188633[/C][/ROW]
[ROW][C]Lambda[/C][C]2.35711877221036[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318661&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318661&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	4.27405671418094
beta	-1.35711877221036
S.D.	1.49444749413201
T-STAT	-0.908107362446069
p-value	0.381697050188633
Lambda	2.35711877221036

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

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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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code