Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Thu, 06 Aug 2009 06:17:08 -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/2009/Aug/06/t1249561119r0ey41udbryfo8x.htm/, Retrieved Fri, 03 May 2024 17:31:06 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42521, Retrieved Fri, 03 May 2024 17:31:06 +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

Estimated Impact

245

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

-     [Bootstrap Plot - Central Tendency] [Bootstrap plot ma...] [2009-08-05 15:54:55] [b61406873bd841e2047c054f7ebec102]
- RMPD  [Blocked Bootstrap Plot - Central Tendency] [Bootstrap plot ge...] [2009-08-05 18:54:30] [b61406873bd841e2047c054f7ebec102]
- RMP       [Standard Deviation-Mean Plot] [Standardeviation ...] [2009-08-06 12:17:08] [f78fa5e3827314a0edd0041d1d9dae5e] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42521&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42521&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42521&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	11.625	0.168226038412607	0.359999999999999
2	11.7325	0.139612559129423	0.300000000000001
3	11.495	0.114455231422596	0.230000000000000
4	11.535	0.159269164205337	0.350
5	11.6975	0.160078105935821	0.380000000000001
6	11.7125	0.183915741577496	0.430000000000001
7	11.8475	0.151299922890485	0.32
8	12.3175	0.335993551525422	0.72
9	12.29	0.200166597280032	0.479999999999999
10	12.125	0.143874945699382	0.310000000000000
11	12.14	0.0668331255192117	0.150000000000000
12	11.995	0.126095202129185	0.290000000000001
13	11.695	0.215019378971602	0.5
14	11.81	0.152315462117278	0.34
15	11.8675	0.136473440639561	0.319999999999999
16	11.9	0.0424264068711928	0.0999999999999996
17	11.85	0.131909059582729	0.310000000000000
18	11.535	0.206316908339250	0.49
19	11.5475	0.113541475535007	0.25
20	11.475	0.127671453348037	0.279999999999999
21	11.4125	0.125266382827424	0.270000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 11.625 & 0.168226038412607 & 0.359999999999999 \tabularnewline
2 & 11.7325 & 0.139612559129423 & 0.300000000000001 \tabularnewline
3 & 11.495 & 0.114455231422596 & 0.230000000000000 \tabularnewline
4 & 11.535 & 0.159269164205337 & 0.350 \tabularnewline
5 & 11.6975 & 0.160078105935821 & 0.380000000000001 \tabularnewline
6 & 11.7125 & 0.183915741577496 & 0.430000000000001 \tabularnewline
7 & 11.8475 & 0.151299922890485 & 0.32 \tabularnewline
8 & 12.3175 & 0.335993551525422 & 0.72 \tabularnewline
9 & 12.29 & 0.200166597280032 & 0.479999999999999 \tabularnewline
10 & 12.125 & 0.143874945699382 & 0.310000000000000 \tabularnewline
11 & 12.14 & 0.0668331255192117 & 0.150000000000000 \tabularnewline
12 & 11.995 & 0.126095202129185 & 0.290000000000001 \tabularnewline
13 & 11.695 & 0.215019378971602 & 0.5 \tabularnewline
14 & 11.81 & 0.152315462117278 & 0.34 \tabularnewline
15 & 11.8675 & 0.136473440639561 & 0.319999999999999 \tabularnewline
16 & 11.9 & 0.0424264068711928 & 0.0999999999999996 \tabularnewline
17 & 11.85 & 0.131909059582729 & 0.310000000000000 \tabularnewline
18 & 11.535 & 0.206316908339250 & 0.49 \tabularnewline
19 & 11.5475 & 0.113541475535007 & 0.25 \tabularnewline
20 & 11.475 & 0.127671453348037 & 0.279999999999999 \tabularnewline
21 & 11.4125 & 0.125266382827424 & 0.270000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42521&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]11.625[/C][C]0.168226038412607[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]2[/C][C]11.7325[/C][C]0.139612559129423[/C][C]0.300000000000001[/C][/ROW]
[ROW][C]3[/C][C]11.495[/C][C]0.114455231422596[/C][C]0.230000000000000[/C][/ROW]
[ROW][C]4[/C][C]11.535[/C][C]0.159269164205337[/C][C]0.350[/C][/ROW]
[ROW][C]5[/C][C]11.6975[/C][C]0.160078105935821[/C][C]0.380000000000001[/C][/ROW]
[ROW][C]6[/C][C]11.7125[/C][C]0.183915741577496[/C][C]0.430000000000001[/C][/ROW]
[ROW][C]7[/C][C]11.8475[/C][C]0.151299922890485[/C][C]0.32[/C][/ROW]
[ROW][C]8[/C][C]12.3175[/C][C]0.335993551525422[/C][C]0.72[/C][/ROW]
[ROW][C]9[/C][C]12.29[/C][C]0.200166597280032[/C][C]0.479999999999999[/C][/ROW]
[ROW][C]10[/C][C]12.125[/C][C]0.143874945699382[/C][C]0.310000000000000[/C][/ROW]
[ROW][C]11[/C][C]12.14[/C][C]0.0668331255192117[/C][C]0.150000000000000[/C][/ROW]
[ROW][C]12[/C][C]11.995[/C][C]0.126095202129185[/C][C]0.290000000000001[/C][/ROW]
[ROW][C]13[/C][C]11.695[/C][C]0.215019378971602[/C][C]0.5[/C][/ROW]
[ROW][C]14[/C][C]11.81[/C][C]0.152315462117278[/C][C]0.34[/C][/ROW]
[ROW][C]15[/C][C]11.8675[/C][C]0.136473440639561[/C][C]0.319999999999999[/C][/ROW]
[ROW][C]16[/C][C]11.9[/C][C]0.0424264068711928[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]17[/C][C]11.85[/C][C]0.131909059582729[/C][C]0.310000000000000[/C][/ROW]
[ROW][C]18[/C][C]11.535[/C][C]0.206316908339250[/C][C]0.49[/C][/ROW]
[ROW][C]19[/C][C]11.5475[/C][C]0.113541475535007[/C][C]0.25[/C][/ROW]
[ROW][C]20[/C][C]11.475[/C][C]0.127671453348037[/C][C]0.279999999999999[/C][/ROW]
[ROW][C]21[/C][C]11.4125[/C][C]0.125266382827424[/C][C]0.270000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42521&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42521&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	11.625	0.168226038412607	0.359999999999999
2	11.7325	0.139612559129423	0.300000000000001
3	11.495	0.114455231422596	0.230000000000000
4	11.535	0.159269164205337	0.350
5	11.6975	0.160078105935821	0.380000000000001
6	11.7125	0.183915741577496	0.430000000000001
7	11.8475	0.151299922890485	0.32
8	12.3175	0.335993551525422	0.72
9	12.29	0.200166597280032	0.479999999999999
10	12.125	0.143874945699382	0.310000000000000
11	12.14	0.0668331255192117	0.150000000000000
12	11.995	0.126095202129185	0.290000000000001
13	11.695	0.215019378971602	0.5
14	11.81	0.152315462117278	0.34
15	11.8675	0.136473440639561	0.319999999999999
16	11.9	0.0424264068711928	0.0999999999999996
17	11.85	0.131909059582729	0.310000000000000
18	11.535	0.206316908339250	0.49
19	11.5475	0.113541475535007	0.25
20	11.475	0.127671453348037	0.279999999999999
21	11.4125	0.125266382827424	0.270000000000000

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.520960684086601
beta	0.0571108601190513
S.D.	0.0493606758364747
T-STAT	1.15701130811604
p-value	0.261607610760082

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.520960684086601 \tabularnewline
beta & 0.0571108601190513 \tabularnewline
S.D. & 0.0493606758364747 \tabularnewline
T-STAT & 1.15701130811604 \tabularnewline
p-value & 0.261607610760082 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42521&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.520960684086601[/C][/ROW]
[ROW][C]beta[/C][C]0.0571108601190513[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0493606758364747[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.15701130811604[/C][/ROW]
[ROW][C]p-value[/C][C]0.261607610760082[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42521&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42521&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	-0.520960684086601
beta	0.0571108601190513
S.D.	0.0493606758364747
T-STAT	1.15701130811604
p-value	0.261607610760082

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.63389371941178
beta	1.49090968935494
S.D.	4.26853047315966
T-STAT	0.349279382853119
p-value	0.73072081645661
Lambda	-0.490909689354938

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.63389371941178 \tabularnewline
beta & 1.49090968935494 \tabularnewline
S.D. & 4.26853047315966 \tabularnewline
T-STAT & 0.349279382853119 \tabularnewline
p-value & 0.73072081645661 \tabularnewline
Lambda & -0.490909689354938 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42521&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.63389371941178[/C][/ROW]
[ROW][C]beta[/C][C]1.49090968935494[/C][/ROW]
[ROW][C]S.D.[/C][C]4.26853047315966[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.349279382853119[/C][/ROW]
[ROW][C]p-value[/C][C]0.73072081645661[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.490909689354938[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42521&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42521&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	-5.63389371941178
beta	1.49090968935494
S.D.	4.26853047315966
T-STAT	0.349279382853119
p-value	0.73072081645661
Lambda	-0.490909689354938

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