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

Mon, 28 Nov 2011 07:09:11 -0500

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/2011/Nov/28/t1322482190eq9wrl5cqcvjerq.htm/, Retrieved Fri, 26 Apr 2024 18:29:06 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147681, Retrieved Fri, 26 Apr 2024 18:29:06 +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

KDGP2W83

Estimated Impact

116

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

-       [Standard Deviation-Mean Plot] [Gemiddelde consum...] [2011-11-28 12:09:11] [036566f0315b6830c558eb5f1e94847a] [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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147681&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147681&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147681&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' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	14.9725	0.0556027577253747	0.130000000000001
2	15.07	0.00816496580927709	0.0199999999999996
3	15.0975	0.0149999999999997	0.0299999999999994
4	15.1475	0.0125830573921176	0.0299999999999994
5	15.175	0.00577350269189613	0.00999999999999979
6	15.1975	0.00957427107756395	0.0200000000000014
7	15.365	0.107857931249089	0.220000000000001
8	15.6825	0.0340342964277703	0.0800000000000001
9	15.785	0.0310912635102962	0.0700000000000003
10	15.8375	0.0125830573921176	0.0299999999999994
11	15.87	0.00816496580927781	0.0200000000000014
12	15.885	0.00999999999999979	0.0199999999999996
13	15.9325	0.0221735578260837	0.0500000000000007
14	15.975	0.0173205080756884	0.0399999999999991
15	16.055	0.0264575131106456	0.0599999999999987
16	16.0975	0.0206155281280895	0.0400000000000027
17	16.135	0.00999999999999979	0.0199999999999996
18	16.165	0.0173205080756894	0.0300000000000011

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14.9725 & 0.0556027577253747 & 0.130000000000001 \tabularnewline
2 & 15.07 & 0.00816496580927709 & 0.0199999999999996 \tabularnewline
3 & 15.0975 & 0.0149999999999997 & 0.0299999999999994 \tabularnewline
4 & 15.1475 & 0.0125830573921176 & 0.0299999999999994 \tabularnewline
5 & 15.175 & 0.00577350269189613 & 0.00999999999999979 \tabularnewline
6 & 15.1975 & 0.00957427107756395 & 0.0200000000000014 \tabularnewline
7 & 15.365 & 0.107857931249089 & 0.220000000000001 \tabularnewline
8 & 15.6825 & 0.0340342964277703 & 0.0800000000000001 \tabularnewline
9 & 15.785 & 0.0310912635102962 & 0.0700000000000003 \tabularnewline
10 & 15.8375 & 0.0125830573921176 & 0.0299999999999994 \tabularnewline
11 & 15.87 & 0.00816496580927781 & 0.0200000000000014 \tabularnewline
12 & 15.885 & 0.00999999999999979 & 0.0199999999999996 \tabularnewline
13 & 15.9325 & 0.0221735578260837 & 0.0500000000000007 \tabularnewline
14 & 15.975 & 0.0173205080756884 & 0.0399999999999991 \tabularnewline
15 & 16.055 & 0.0264575131106456 & 0.0599999999999987 \tabularnewline
16 & 16.0975 & 0.0206155281280895 & 0.0400000000000027 \tabularnewline
17 & 16.135 & 0.00999999999999979 & 0.0199999999999996 \tabularnewline
18 & 16.165 & 0.0173205080756894 & 0.0300000000000011 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147681&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]14.9725[/C][C]0.0556027577253747[/C][C]0.130000000000001[/C][/ROW]
[ROW][C]2[/C][C]15.07[/C][C]0.00816496580927709[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]3[/C][C]15.0975[/C][C]0.0149999999999997[/C][C]0.0299999999999994[/C][/ROW]
[ROW][C]4[/C][C]15.1475[/C][C]0.0125830573921176[/C][C]0.0299999999999994[/C][/ROW]
[ROW][C]5[/C][C]15.175[/C][C]0.00577350269189613[/C][C]0.00999999999999979[/C][/ROW]
[ROW][C]6[/C][C]15.1975[/C][C]0.00957427107756395[/C][C]0.0200000000000014[/C][/ROW]
[ROW][C]7[/C][C]15.365[/C][C]0.107857931249089[/C][C]0.220000000000001[/C][/ROW]
[ROW][C]8[/C][C]15.6825[/C][C]0.0340342964277703[/C][C]0.0800000000000001[/C][/ROW]
[ROW][C]9[/C][C]15.785[/C][C]0.0310912635102962[/C][C]0.0700000000000003[/C][/ROW]
[ROW][C]10[/C][C]15.8375[/C][C]0.0125830573921176[/C][C]0.0299999999999994[/C][/ROW]
[ROW][C]11[/C][C]15.87[/C][C]0.00816496580927781[/C][C]0.0200000000000014[/C][/ROW]
[ROW][C]12[/C][C]15.885[/C][C]0.00999999999999979[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]13[/C][C]15.9325[/C][C]0.0221735578260837[/C][C]0.0500000000000007[/C][/ROW]
[ROW][C]14[/C][C]15.975[/C][C]0.0173205080756884[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]15[/C][C]16.055[/C][C]0.0264575131106456[/C][C]0.0599999999999987[/C][/ROW]
[ROW][C]16[/C][C]16.0975[/C][C]0.0206155281280895[/C][C]0.0400000000000027[/C][/ROW]
[ROW][C]17[/C][C]16.135[/C][C]0.00999999999999979[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]18[/C][C]16.165[/C][C]0.0173205080756894[/C][C]0.0300000000000011[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147681&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147681&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	14.9725	0.0556027577253747	0.130000000000001
2	15.07	0.00816496580927709	0.0199999999999996
3	15.0975	0.0149999999999997	0.0299999999999994
4	15.1475	0.0125830573921176	0.0299999999999994
5	15.175	0.00577350269189613	0.00999999999999979
6	15.1975	0.00957427107756395	0.0200000000000014
7	15.365	0.107857931249089	0.220000000000001
8	15.6825	0.0340342964277703	0.0800000000000001
9	15.785	0.0310912635102962	0.0700000000000003
10	15.8375	0.0125830573921176	0.0299999999999994
11	15.87	0.00816496580927781	0.0200000000000014
12	15.885	0.00999999999999979	0.0199999999999996
13	15.9325	0.0221735578260837	0.0500000000000007
14	15.975	0.0173205080756884	0.0399999999999991
15	16.055	0.0264575131106456	0.0599999999999987
16	16.0975	0.0206155281280895	0.0400000000000027
17	16.135	0.00999999999999979	0.0199999999999996
18	16.165	0.0173205080756894	0.0300000000000011

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.183564793226983
beta	-0.0102323672255138
S.D.	0.0140849521229718
T-STAT	-0.726475115866765
p-value	0.478041904936321

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.183564793226983 \tabularnewline
beta & -0.0102323672255138 \tabularnewline
S.D. & 0.0140849521229718 \tabularnewline
T-STAT & -0.726475115866765 \tabularnewline
p-value & 0.478041904936321 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147681&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.183564793226983[/C][/ROW]
[ROW][C]beta[/C][C]-0.0102323672255138[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0140849521229718[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.726475115866765[/C][/ROW]
[ROW][C]p-value[/C][C]0.478041904936321[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147681&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147681&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	0.183564793226983
beta	-0.0102323672255138
S.D.	0.0140849521229718
T-STAT	-0.726475115866765
p-value	0.478041904936321

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.48502919620557
beta	-0.207159624276842
S.D.	6.77062731822302
T-STAT	-0.0305968139346964
p-value	0.975969499175023
Lambda	1.20715962427684

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.48502919620557 \tabularnewline
beta & -0.207159624276842 \tabularnewline
S.D. & 6.77062731822302 \tabularnewline
T-STAT & -0.0305968139346964 \tabularnewline
p-value & 0.975969499175023 \tabularnewline
Lambda & 1.20715962427684 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147681&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.48502919620557[/C][/ROW]
[ROW][C]beta[/C][C]-0.207159624276842[/C][/ROW]
[ROW][C]S.D.[/C][C]6.77062731822302[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0305968139346964[/C][/ROW]
[ROW][C]p-value[/C][C]0.975969499175023[/C][/ROW]
[ROW][C]Lambda[/C][C]1.20715962427684[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147681&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147681&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	-3.48502919620557
beta	-0.207159624276842
S.D.	6.77062731822302
T-STAT	-0.0305968139346964
p-value	0.975969499175023
Lambda	1.20715962427684

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