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, 24 May 2010 11:58:00 +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/May/24/t12747024148n98qbmcorjc8wi.htm/, Retrieved Sun, 05 May 2024 04:45:51 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76315, Retrieved Sun, 05 May 2024 04:45:51 +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

154

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

-       [Standard Deviation-Mean Plot] [Spreidings- en ge...] [2010-05-24 11:58:00] [819ef9efcbdcdc4b312cf90f12d3a4d4] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

2
2.4
1.5
1.2
1.5
0.6
2.7
3.7
4.9
6.6
7.4
7.2
5.3
4.7
6.1
6.6
7
7.5
6.6
7.8
4.7
5.4
4.3
4.5
5.8
4.6
5.2
3.6
4.8
6.7
6.3
4.8
8.7
6.8
7.4
9
7.9
9.1
8.7
9.8
6.4
6.1
4.7
4.8
4.2
2.8
6.1
5.8
4.9
4.6
4.1
3.6
5.9
4.5
4.8
5.7
5
7
4.6
2.6
5
4.1
3.2
0
2.3
3.8
4.5
5.9
5
4.2
4.5
6

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	'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76315&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76315&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76315&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3.475	2.45509673943818	6.8
2	5.875	1.22112094553994	3.5
3	6.14166666666667	1.66540103460416	5.4
4	6.36666666666667	2.13555755263258	7
5	4.775	1.12178834496936	4.4
6	4.04166666666667	1.64342122821063	6

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3.475 & 2.45509673943818 & 6.8 \tabularnewline
2 & 5.875 & 1.22112094553994 & 3.5 \tabularnewline
3 & 6.14166666666667 & 1.66540103460416 & 5.4 \tabularnewline
4 & 6.36666666666667 & 2.13555755263258 & 7 \tabularnewline
5 & 4.775 & 1.12178834496936 & 4.4 \tabularnewline
6 & 4.04166666666667 & 1.64342122821063 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76315&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]3.475[/C][C]2.45509673943818[/C][C]6.8[/C][/ROW]
[ROW][C]2[/C][C]5.875[/C][C]1.22112094553994[/C][C]3.5[/C][/ROW]
[ROW][C]3[/C][C]6.14166666666667[/C][C]1.66540103460416[/C][C]5.4[/C][/ROW]
[ROW][C]4[/C][C]6.36666666666667[/C][C]2.13555755263258[/C][C]7[/C][/ROW]
[ROW][C]5[/C][C]4.775[/C][C]1.12178834496936[/C][C]4.4[/C][/ROW]
[ROW][C]6[/C][C]4.04166666666667[/C][C]1.64342122821063[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76315&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76315&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	3.475	2.45509673943818	6.8
2	5.875	1.22112094553994	3.5
3	6.14166666666667	1.66540103460416	5.4
4	6.36666666666667	2.13555755263258	7
5	4.775	1.12178834496936	4.4
6	4.04166666666667	1.64342122821063	6

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2.30382193477514
beta	-0.116725208256103
S.D.	0.207313205434263
T-STAT	-0.563037979233386
p-value	0.603471389569846

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.30382193477514 \tabularnewline
beta & -0.116725208256103 \tabularnewline
S.D. & 0.207313205434263 \tabularnewline
T-STAT & -0.563037979233386 \tabularnewline
p-value & 0.603471389569846 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76315&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.30382193477514[/C][/ROW]
[ROW][C]beta[/C][C]-0.116725208256103[/C][/ROW]
[ROW][C]S.D.[/C][C]0.207313205434263[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.563037979233386[/C][/ROW]
[ROW][C]p-value[/C][C]0.603471389569846[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76315&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76315&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	2.30382193477514
beta	-0.116725208256103
S.D.	0.207313205434263
T-STAT	-0.563037979233386
p-value	0.603471389569846

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.07504754566241
beta	-0.36005633646094
S.D.	0.588285616948764
T-STAT	-0.612043412396224
p-value	0.573589515514345
Lambda	1.36005633646094

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.07504754566241 \tabularnewline
beta & -0.36005633646094 \tabularnewline
S.D. & 0.588285616948764 \tabularnewline
T-STAT & -0.612043412396224 \tabularnewline
p-value & 0.573589515514345 \tabularnewline
Lambda & 1.36005633646094 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76315&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.07504754566241[/C][/ROW]
[ROW][C]beta[/C][C]-0.36005633646094[/C][/ROW]
[ROW][C]S.D.[/C][C]0.588285616948764[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.612043412396224[/C][/ROW]
[ROW][C]p-value[/C][C]0.573589515514345[/C][/ROW]
[ROW][C]Lambda[/C][C]1.36005633646094[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76315&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76315&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	1.07504754566241
beta	-0.36005633646094
S.D.	0.588285616948764
T-STAT	-0.612043412396224
p-value	0.573589515514345
Lambda	1.36005633646094

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

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