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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

Sun, 22 Nov 2015 21:49:08 +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/2015/Nov/22/t14482289748fut2s2uxvbm60h.htm/, Retrieved Wed, 15 May 2024 10:43:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283893, Retrieved Wed, 15 May 2024 10:43:15 +0000

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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] [] [2015-11-22 21:49:08] [9de61432ca342460988ae3c030b81fa6] [Current]

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Dataseries X:

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Histogram

Boxplots

-12
-12
-8
-6
-2
4
3
5
8
5
3
6
15
12
11
12
14
18
15
16
-1
-5
-6
-5
-2
-9
-9
-12
-16
-19
-30
-26
-22
-31
-33
-31
-27
-29
-33
-27
-22
-23
-23
-15
-15
-24
-18
-14
-7
-12
-12
-15
-16
-17
-13
-8
-13
-13
-11
-16
-34
-35
-38
-32
-37
-39
-31
-30
-29
-36
-41
-42
-33
-43
-41
-34
-32
-36
-37
-30
-32
-30
-21
-19
-6
-11
-11

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	'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283893&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283893&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283893&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-6	6.19677335393187	16
2	5	1.89736659610103	5
3	13.6666666666667	2.58198889747161	7
4	2.33333333333333	10.3473023859684	22
5	-11.1666666666667	5.98052394583172	17
6	-28.8333333333333	4.07021702943058	11
7	-26.8333333333333	4.02077936060494	11
8	-18.1666666666667	4.35507366948788	10
9	-13.1666666666667	3.65604522218567	10
10	-12.3333333333333	2.65832027165025	8
11	-35.8333333333333	2.63944438597722	7
12	-34.8333333333333	5.70672118354022	13
13	-36.5	4.50555213042752	11
14	-28.1666666666667	6.85322308601337	18

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -6 & 6.19677335393187 & 16 \tabularnewline
2 & 5 & 1.89736659610103 & 5 \tabularnewline
3 & 13.6666666666667 & 2.58198889747161 & 7 \tabularnewline
4 & 2.33333333333333 & 10.3473023859684 & 22 \tabularnewline
5 & -11.1666666666667 & 5.98052394583172 & 17 \tabularnewline
6 & -28.8333333333333 & 4.07021702943058 & 11 \tabularnewline
7 & -26.8333333333333 & 4.02077936060494 & 11 \tabularnewline
8 & -18.1666666666667 & 4.35507366948788 & 10 \tabularnewline
9 & -13.1666666666667 & 3.65604522218567 & 10 \tabularnewline
10 & -12.3333333333333 & 2.65832027165025 & 8 \tabularnewline
11 & -35.8333333333333 & 2.63944438597722 & 7 \tabularnewline
12 & -34.8333333333333 & 5.70672118354022 & 13 \tabularnewline
13 & -36.5 & 4.50555213042752 & 11 \tabularnewline
14 & -28.1666666666667 & 6.85322308601337 & 18 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283893&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]-6[/C][C]6.19677335393187[/C][C]16[/C][/ROW]
[ROW][C]2[/C][C]5[/C][C]1.89736659610103[/C][C]5[/C][/ROW]
[ROW][C]3[/C][C]13.6666666666667[/C][C]2.58198889747161[/C][C]7[/C][/ROW]
[ROW][C]4[/C][C]2.33333333333333[/C][C]10.3473023859684[/C][C]22[/C][/ROW]
[ROW][C]5[/C][C]-11.1666666666667[/C][C]5.98052394583172[/C][C]17[/C][/ROW]
[ROW][C]6[/C][C]-28.8333333333333[/C][C]4.07021702943058[/C][C]11[/C][/ROW]
[ROW][C]7[/C][C]-26.8333333333333[/C][C]4.02077936060494[/C][C]11[/C][/ROW]
[ROW][C]8[/C][C]-18.1666666666667[/C][C]4.35507366948788[/C][C]10[/C][/ROW]
[ROW][C]9[/C][C]-13.1666666666667[/C][C]3.65604522218567[/C][C]10[/C][/ROW]
[ROW][C]10[/C][C]-12.3333333333333[/C][C]2.65832027165025[/C][C]8[/C][/ROW]
[ROW][C]11[/C][C]-35.8333333333333[/C][C]2.63944438597722[/C][C]7[/C][/ROW]
[ROW][C]12[/C][C]-34.8333333333333[/C][C]5.70672118354022[/C][C]13[/C][/ROW]
[ROW][C]13[/C][C]-36.5[/C][C]4.50555213042752[/C][C]11[/C][/ROW]
[ROW][C]14[/C][C]-28.1666666666667[/C][C]6.85322308601337[/C][C]18[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283893&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283893&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	-6	6.19677335393187	16
2	5	1.89736659610103	5
3	13.6666666666667	2.58198889747161	7
4	2.33333333333333	10.3473023859684	22
5	-11.1666666666667	5.98052394583172	17
6	-28.8333333333333	4.07021702943058	11
7	-26.8333333333333	4.02077936060494	11
8	-18.1666666666667	4.35507366948788	10
9	-13.1666666666667	3.65604522218567	10
10	-12.3333333333333	2.65832027165025	8
11	-35.8333333333333	2.63944438597722	7
12	-34.8333333333333	5.70672118354022	13
13	-36.5	4.50555213042752	11
14	-28.1666666666667	6.85322308601337	18

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4.71651257329206
beta	0.00243398342584794
S.D.	0.0396737885939766
T-STAT	0.0613499116698292
p-value	0.952090508715793

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.71651257329206 \tabularnewline
beta & 0.00243398342584794 \tabularnewline
S.D. & 0.0396737885939766 \tabularnewline
T-STAT & 0.0613499116698292 \tabularnewline
p-value & 0.952090508715793 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283893&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.71651257329206[/C][/ROW]
[ROW][C]beta[/C][C]0.00243398342584794[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0396737885939766[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0613499116698292[/C][/ROW]
[ROW][C]p-value[/C][C]0.952090508715793[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283893&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283893&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	4.71651257329206
beta	0.00243398342584794
S.D.	0.0396737885939766
T-STAT	0.0613499116698292
p-value	0.952090508715793

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.54044280986346
beta	-0.728666701432684
S.D.	0.71258134011525
T-STAT	-1.02257336869758
p-value	0.492895161959692
Lambda	1.72866670143268

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.54044280986346 \tabularnewline
beta & -0.728666701432684 \tabularnewline
S.D. & 0.71258134011525 \tabularnewline
T-STAT & -1.02257336869758 \tabularnewline
p-value & 0.492895161959692 \tabularnewline
Lambda & 1.72866670143268 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283893&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.54044280986346[/C][/ROW]
[ROW][C]beta[/C][C]-0.728666701432684[/C][/ROW]
[ROW][C]S.D.[/C][C]0.71258134011525[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.02257336869758[/C][/ROW]
[ROW][C]p-value[/C][C]0.492895161959692[/C][/ROW]
[ROW][C]Lambda[/C][C]1.72866670143268[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283893&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283893&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	2.54044280986346
beta	-0.728666701432684
S.D.	0.71258134011525
T-STAT	-1.02257336869758
p-value	0.492895161959692
Lambda	1.72866670143268

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 6 ;

Parameters (R input):

par1 = 6 ;

R code (references can be found in the software module):

par1 <- '12'
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