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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

Sat, 04 Dec 2010 19:15:44 +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/04/t1291490096szjwdp52mpv27iw.htm/, Retrieved Sun, 05 May 2024 02:40:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105259, Retrieved Sun, 05 May 2024 02:40:41 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

114

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

-       [Standard Deviation-Mean Plot] [opdracht 8 oef 3 ...] [2010-12-04 19:15:44] [a8c08f114ed6b33170d4a8ec3391edfe] [Current]

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Dataseries X:

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Histogram

Boxplots

7.08
7.08
7.09
7.07
7.06
6.99
6.99
6.99
6.98
6.96
6.95
6.91
6.91
6.87
6.91
6.89
6.88
6.9
6.91
6.85
6.86
6.82
6.8
6.83
6.84
6.89
7.14
7.21
7.25
7.31
7.3
7.48
7.49
7.4
7.44
7.42
7.14
7.24
7.33
7.61
7.66
7.69
7.7
7.68
7.71
7.71
7.72
7.68
7.72
7.74
7.76
7.9
7.97
7.96
7.95
7.97
7.93
7.99
7.96
7.92
7.97
7.98
8
8.04
8.17
8.29
8.26
8.3
8.32
8.28
8.27
8.32
8.31
8.34
8.32
8.36
8.33
8.35
8.34
8.37
8.31
8.33
8.34
8.25

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=105259&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=105259&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105259&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	7.08	0.00816496580927709	0.0199999999999996
2	7.0075	0.0349999999999997	0.0699999999999994
3	6.95	0.0294392028877596	0.0700000000000003
4	6.895	0.0191485421551268	0.04
5	6.885	0.0264575131106462	0.0600000000000005
6	6.8275	0.0250000000000002	0.0600000000000005
7	7.02	0.182391520270726	0.37
8	7.335	0.100166528008778	0.230000000000000
9	7.4375	0.0386221007541882	0.0899999999999999
10	7.33	0.202155056000751	0.470000000000001
11	7.6825	0.0170782512765994	0.04
12	7.705	0.0173205080756888	0.04
13	7.78	0.0816496580927728	0.180000000000001
14	7.9625	0.00957427107756318	0.0199999999999996
15	7.95	0.0316227766016840	0.0700000000000003
16	7.9975	0.0309569593683441	0.0699999999999994
17	8.255	0.0591607978309962	0.130000000000001
18	8.2975	0.0262995563967663	0.0500000000000007
19	8.3325	0.022173557826083	0.0499999999999989
20	8.3475	0.0170782512765990	0.0399999999999991
21	8.3075	0.0403112887414927	0.0899999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.08 & 0.00816496580927709 & 0.0199999999999996 \tabularnewline
2 & 7.0075 & 0.0349999999999997 & 0.0699999999999994 \tabularnewline
3 & 6.95 & 0.0294392028877596 & 0.0700000000000003 \tabularnewline
4 & 6.895 & 0.0191485421551268 & 0.04 \tabularnewline
5 & 6.885 & 0.0264575131106462 & 0.0600000000000005 \tabularnewline
6 & 6.8275 & 0.0250000000000002 & 0.0600000000000005 \tabularnewline
7 & 7.02 & 0.182391520270726 & 0.37 \tabularnewline
8 & 7.335 & 0.100166528008778 & 0.230000000000000 \tabularnewline
9 & 7.4375 & 0.0386221007541882 & 0.0899999999999999 \tabularnewline
10 & 7.33 & 0.202155056000751 & 0.470000000000001 \tabularnewline
11 & 7.6825 & 0.0170782512765994 & 0.04 \tabularnewline
12 & 7.705 & 0.0173205080756888 & 0.04 \tabularnewline
13 & 7.78 & 0.0816496580927728 & 0.180000000000001 \tabularnewline
14 & 7.9625 & 0.00957427107756318 & 0.0199999999999996 \tabularnewline
15 & 7.95 & 0.0316227766016840 & 0.0700000000000003 \tabularnewline
16 & 7.9975 & 0.0309569593683441 & 0.0699999999999994 \tabularnewline
17 & 8.255 & 0.0591607978309962 & 0.130000000000001 \tabularnewline
18 & 8.2975 & 0.0262995563967663 & 0.0500000000000007 \tabularnewline
19 & 8.3325 & 0.022173557826083 & 0.0499999999999989 \tabularnewline
20 & 8.3475 & 0.0170782512765990 & 0.0399999999999991 \tabularnewline
21 & 8.3075 & 0.0403112887414927 & 0.0899999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105259&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]7.08[/C][C]0.00816496580927709[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]2[/C][C]7.0075[/C][C]0.0349999999999997[/C][C]0.0699999999999994[/C][/ROW]
[ROW][C]3[/C][C]6.95[/C][C]0.0294392028877596[/C][C]0.0700000000000003[/C][/ROW]
[ROW][C]4[/C][C]6.895[/C][C]0.0191485421551268[/C][C]0.04[/C][/ROW]
[ROW][C]5[/C][C]6.885[/C][C]0.0264575131106462[/C][C]0.0600000000000005[/C][/ROW]
[ROW][C]6[/C][C]6.8275[/C][C]0.0250000000000002[/C][C]0.0600000000000005[/C][/ROW]
[ROW][C]7[/C][C]7.02[/C][C]0.182391520270726[/C][C]0.37[/C][/ROW]
[ROW][C]8[/C][C]7.335[/C][C]0.100166528008778[/C][C]0.230000000000000[/C][/ROW]
[ROW][C]9[/C][C]7.4375[/C][C]0.0386221007541882[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]10[/C][C]7.33[/C][C]0.202155056000751[/C][C]0.470000000000001[/C][/ROW]
[ROW][C]11[/C][C]7.6825[/C][C]0.0170782512765994[/C][C]0.04[/C][/ROW]
[ROW][C]12[/C][C]7.705[/C][C]0.0173205080756888[/C][C]0.04[/C][/ROW]
[ROW][C]13[/C][C]7.78[/C][C]0.0816496580927728[/C][C]0.180000000000001[/C][/ROW]
[ROW][C]14[/C][C]7.9625[/C][C]0.00957427107756318[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]15[/C][C]7.95[/C][C]0.0316227766016840[/C][C]0.0700000000000003[/C][/ROW]
[ROW][C]16[/C][C]7.9975[/C][C]0.0309569593683441[/C][C]0.0699999999999994[/C][/ROW]
[ROW][C]17[/C][C]8.255[/C][C]0.0591607978309962[/C][C]0.130000000000001[/C][/ROW]
[ROW][C]18[/C][C]8.2975[/C][C]0.0262995563967663[/C][C]0.0500000000000007[/C][/ROW]
[ROW][C]19[/C][C]8.3325[/C][C]0.022173557826083[/C][C]0.0499999999999989[/C][/ROW]
[ROW][C]20[/C][C]8.3475[/C][C]0.0170782512765990[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]21[/C][C]8.3075[/C][C]0.0403112887414927[/C][C]0.0899999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105259&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105259&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	7.08	0.00816496580927709	0.0199999999999996
2	7.0075	0.0349999999999997	0.0699999999999994
3	6.95	0.0294392028877596	0.0700000000000003
4	6.895	0.0191485421551268	0.04
5	6.885	0.0264575131106462	0.0600000000000005
6	6.8275	0.0250000000000002	0.0600000000000005
7	7.02	0.182391520270726	0.37
8	7.335	0.100166528008778	0.230000000000000
9	7.4375	0.0386221007541882	0.0899999999999999
10	7.33	0.202155056000751	0.470000000000001
11	7.6825	0.0170782512765994	0.04
12	7.705	0.0173205080756888	0.04
13	7.78	0.0816496580927728	0.180000000000001
14	7.9625	0.00957427107756318	0.0199999999999996
15	7.95	0.0316227766016840	0.0700000000000003
16	7.9975	0.0309569593683441	0.0699999999999994
17	8.255	0.0591607978309962	0.130000000000001
18	8.2975	0.0262995563967663	0.0500000000000007
19	8.3325	0.022173557826083	0.0499999999999989
20	8.3475	0.0170782512765990	0.0399999999999991
21	8.3075	0.0403112887414927	0.0899999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.196243669980619
beta	-0.0194582034948782
S.D.	0.0214542573107352
T-STAT	-0.9069623437928
p-value	0.375786211337053

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.196243669980619 \tabularnewline
beta & -0.0194582034948782 \tabularnewline
S.D. & 0.0214542573107352 \tabularnewline
T-STAT & -0.9069623437928 \tabularnewline
p-value & 0.375786211337053 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105259&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.196243669980619[/C][/ROW]
[ROW][C]beta[/C][C]-0.0194582034948782[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0214542573107352[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.9069623437928[/C][/ROW]
[ROW][C]p-value[/C][C]0.375786211337053[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105259&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105259&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	0.196243669980619
beta	-0.0194582034948782
S.D.	0.0214542573107352
T-STAT	-0.9069623437928
p-value	0.375786211337053

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.664384156956888
beta	-1.35569543353142
S.D.	2.6170793601752
T-STAT	-0.518018465225551
p-value	0.610425099648921
Lambda	2.35569543353142

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.664384156956888 \tabularnewline
beta & -1.35569543353142 \tabularnewline
S.D. & 2.6170793601752 \tabularnewline
T-STAT & -0.518018465225551 \tabularnewline
p-value & 0.610425099648921 \tabularnewline
Lambda & 2.35569543353142 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105259&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.664384156956888[/C][/ROW]
[ROW][C]beta[/C][C]-1.35569543353142[/C][/ROW]
[ROW][C]S.D.[/C][C]2.6170793601752[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.518018465225551[/C][/ROW]
[ROW][C]p-value[/C][C]0.610425099648921[/C][/ROW]
[ROW][C]Lambda[/C][C]2.35569543353142[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105259&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105259&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	-0.664384156956888
beta	-1.35569543353142
S.D.	2.6170793601752
T-STAT	-0.518018465225551
p-value	0.610425099648921
Lambda	2.35569543353142

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