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

Tue, 17 Aug 2010 11:11:11 +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/Aug/17/t128204344947c9h9t7pqea7fq.htm/, Retrieved Sat, 27 Apr 2024 08:05:03 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=79083, Retrieved Sat, 27 Apr 2024 08:05:03 +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

mattias debbaut

Estimated Impact

160

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

-       [Standard Deviation-Mean Plot] [sd mean plot - ve...] [2010-08-17 11:11:11] [59fa324537f53fb6459bc6951db20f7b] [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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79083&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79083&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79083&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	374.25	1.70782512765993	4
2	370.25	1.25830573921179	3
3	374	1.41421356237310	3
4	369.25	4.64578662158878	11
5	362.75	4.27200187265877	9
6	361	2.16024689946929	5
7	353.25	7.88986691902975	15
8	328.75	4.64578662158878	10
9	335.5	2.38047614284762	5
10	331.75	10.0457287772798	22
11	297.75	9.7082439194738	22
12	293.75	5.67890834580027	13
13	286.25	20.3367483471014	46
14	238.25	14.7280910734102	31
15	229.75	7.13559154286922	16
16	219.25	19.9562020434751	45
17	176	13.2916013582513	29
18	174.75	11.2063969826762	25
19	162.25	22.8235988982164	50
20	122.75	13.9134227756269	31
21	116.25	13.2256064763272	29

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 374.25 & 1.70782512765993 & 4 \tabularnewline
2 & 370.25 & 1.25830573921179 & 3 \tabularnewline
3 & 374 & 1.41421356237310 & 3 \tabularnewline
4 & 369.25 & 4.64578662158878 & 11 \tabularnewline
5 & 362.75 & 4.27200187265877 & 9 \tabularnewline
6 & 361 & 2.16024689946929 & 5 \tabularnewline
7 & 353.25 & 7.88986691902975 & 15 \tabularnewline
8 & 328.75 & 4.64578662158878 & 10 \tabularnewline
9 & 335.5 & 2.38047614284762 & 5 \tabularnewline
10 & 331.75 & 10.0457287772798 & 22 \tabularnewline
11 & 297.75 & 9.7082439194738 & 22 \tabularnewline
12 & 293.75 & 5.67890834580027 & 13 \tabularnewline
13 & 286.25 & 20.3367483471014 & 46 \tabularnewline
14 & 238.25 & 14.7280910734102 & 31 \tabularnewline
15 & 229.75 & 7.13559154286922 & 16 \tabularnewline
16 & 219.25 & 19.9562020434751 & 45 \tabularnewline
17 & 176 & 13.2916013582513 & 29 \tabularnewline
18 & 174.75 & 11.2063969826762 & 25 \tabularnewline
19 & 162.25 & 22.8235988982164 & 50 \tabularnewline
20 & 122.75 & 13.9134227756269 & 31 \tabularnewline
21 & 116.25 & 13.2256064763272 & 29 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79083&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]374.25[/C][C]1.70782512765993[/C][C]4[/C][/ROW]
[ROW][C]2[/C][C]370.25[/C][C]1.25830573921179[/C][C]3[/C][/ROW]
[ROW][C]3[/C][C]374[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]4[/C][C]369.25[/C][C]4.64578662158878[/C][C]11[/C][/ROW]
[ROW][C]5[/C][C]362.75[/C][C]4.27200187265877[/C][C]9[/C][/ROW]
[ROW][C]6[/C][C]361[/C][C]2.16024689946929[/C][C]5[/C][/ROW]
[ROW][C]7[/C][C]353.25[/C][C]7.88986691902975[/C][C]15[/C][/ROW]
[ROW][C]8[/C][C]328.75[/C][C]4.64578662158878[/C][C]10[/C][/ROW]
[ROW][C]9[/C][C]335.5[/C][C]2.38047614284762[/C][C]5[/C][/ROW]
[ROW][C]10[/C][C]331.75[/C][C]10.0457287772798[/C][C]22[/C][/ROW]
[ROW][C]11[/C][C]297.75[/C][C]9.7082439194738[/C][C]22[/C][/ROW]
[ROW][C]12[/C][C]293.75[/C][C]5.67890834580027[/C][C]13[/C][/ROW]
[ROW][C]13[/C][C]286.25[/C][C]20.3367483471014[/C][C]46[/C][/ROW]
[ROW][C]14[/C][C]238.25[/C][C]14.7280910734102[/C][C]31[/C][/ROW]
[ROW][C]15[/C][C]229.75[/C][C]7.13559154286922[/C][C]16[/C][/ROW]
[ROW][C]16[/C][C]219.25[/C][C]19.9562020434751[/C][C]45[/C][/ROW]
[ROW][C]17[/C][C]176[/C][C]13.2916013582513[/C][C]29[/C][/ROW]
[ROW][C]18[/C][C]174.75[/C][C]11.2063969826762[/C][C]25[/C][/ROW]
[ROW][C]19[/C][C]162.25[/C][C]22.8235988982164[/C][C]50[/C][/ROW]
[ROW][C]20[/C][C]122.75[/C][C]13.9134227756269[/C][C]31[/C][/ROW]
[ROW][C]21[/C][C]116.25[/C][C]13.2256064763272[/C][C]29[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79083&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79083&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	374.25	1.70782512765993	4
2	370.25	1.25830573921179	3
3	374	1.41421356237310	3
4	369.25	4.64578662158878	11
5	362.75	4.27200187265877	9
6	361	2.16024689946929	5
7	353.25	7.88986691902975	15
8	328.75	4.64578662158878	10
9	335.5	2.38047614284762	5
10	331.75	10.0457287772798	22
11	297.75	9.7082439194738	22
12	293.75	5.67890834580027	13
13	286.25	20.3367483471014	46
14	238.25	14.7280910734102	31
15	229.75	7.13559154286922	16
16	219.25	19.9562020434751	45
17	176	13.2916013582513	29
18	174.75	11.2063969826762	25
19	162.25	22.8235988982164	50
20	122.75	13.9134227756269	31
21	116.25	13.2256064763272	29

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	24.5103682014567
beta	-0.0548327305829024
S.D.	0.0116746925064664
T-STAT	-4.69671732703294
p-value	0.000157081627755695

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 24.5103682014567 \tabularnewline
beta & -0.0548327305829024 \tabularnewline
S.D. & 0.0116746925064664 \tabularnewline
T-STAT & -4.69671732703294 \tabularnewline
p-value & 0.000157081627755695 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79083&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.5103682014567[/C][/ROW]
[ROW][C]beta[/C][C]-0.0548327305829024[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0116746925064664[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.69671732703294[/C][/ROW]
[ROW][C]p-value[/C][C]0.000157081627755695[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79083&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79083&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	24.5103682014567
beta	-0.0548327305829024
S.D.	0.0116746925064664
T-STAT	-4.69671732703294
p-value	0.000157081627755695

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	11.2598696413651
beta	-1.68106799655737
S.D.	0.397360391371039
T-STAT	-4.23058773109485
p-value	0.000452611240680747
Lambda	2.68106799655737

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 11.2598696413651 \tabularnewline
beta & -1.68106799655737 \tabularnewline
S.D. & 0.397360391371039 \tabularnewline
T-STAT & -4.23058773109485 \tabularnewline
p-value & 0.000452611240680747 \tabularnewline
Lambda & 2.68106799655737 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79083&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.2598696413651[/C][/ROW]
[ROW][C]beta[/C][C]-1.68106799655737[/C][/ROW]
[ROW][C]S.D.[/C][C]0.397360391371039[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.23058773109485[/C][/ROW]
[ROW][C]p-value[/C][C]0.000452611240680747[/C][/ROW]
[ROW][C]Lambda[/C][C]2.68106799655737[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79083&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79083&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	11.2598696413651
beta	-1.68106799655737
S.D.	0.397360391371039
T-STAT	-4.23058773109485
p-value	0.000452611240680747
Lambda	2.68106799655737

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