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

Wed, 04 Dec 2013 05:40:14 -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/2013/Dec/04/t1386153729wsmh2p50cwtr7px.htm/, Retrieved Wed, 24 Apr 2024 00:26:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230494, Retrieved Wed, 24 Apr 2024 00:26:00 +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

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

-       [Standard Deviation-Mean Plot] [] [2013-12-04 10:40:14] [3c7daf9c150a57900c7784703a011e78] [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	4 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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230494&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]4 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=230494&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230494&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	4 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	102.3175	0.571570802104325	1.11
2	103.386666666667	2.12150604024308	4.12
3	105.24	0.679705818718661	1.32000000000001
4	105.705	0.896401898501093	2.14
5	110.330833333333	2.27834253284481	5.45
6	111.856666666667	4.16859543237142	9.22999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 102.3175 & 0.571570802104325 & 1.11 \tabularnewline
2 & 103.386666666667 & 2.12150604024308 & 4.12 \tabularnewline
3 & 105.24 & 0.679705818718661 & 1.32000000000001 \tabularnewline
4 & 105.705 & 0.896401898501093 & 2.14 \tabularnewline
5 & 110.330833333333 & 2.27834253284481 & 5.45 \tabularnewline
6 & 111.856666666667 & 4.16859543237142 & 9.22999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230494&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]102.3175[/C][C]0.571570802104325[/C][C]1.11[/C][/ROW]
[ROW][C]2[/C][C]103.386666666667[/C][C]2.12150604024308[/C][C]4.12[/C][/ROW]
[ROW][C]3[/C][C]105.24[/C][C]0.679705818718661[/C][C]1.32000000000001[/C][/ROW]
[ROW][C]4[/C][C]105.705[/C][C]0.896401898501093[/C][C]2.14[/C][/ROW]
[ROW][C]5[/C][C]110.330833333333[/C][C]2.27834253284481[/C][C]5.45[/C][/ROW]
[ROW][C]6[/C][C]111.856666666667[/C][C]4.16859543237142[/C][C]9.22999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230494&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230494&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	102.3175	0.571570802104325	1.11
2	103.386666666667	2.12150604024308	4.12
3	105.24	0.679705818718661	1.32000000000001
4	105.705	0.896401898501093	2.14
5	110.330833333333	2.27834253284481	5.45
6	111.856666666667	4.16859543237142	9.22999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-28.6249048191513
beta	0.285621600888633
S.D.	0.110981748627759
T-STAT	2.57359074280428
p-value	0.0617439908682388

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -28.6249048191513 \tabularnewline
beta & 0.285621600888633 \tabularnewline
S.D. & 0.110981748627759 \tabularnewline
T-STAT & 2.57359074280428 \tabularnewline
p-value & 0.0617439908682388 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230494&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-28.6249048191513[/C][/ROW]
[ROW][C]beta[/C][C]0.285621600888633[/C][/ROW]
[ROW][C]S.D.[/C][C]0.110981748627759[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.57359074280428[/C][/ROW]
[ROW][C]p-value[/C][C]0.0617439908682388[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230494&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230494&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	-28.6249048191513
beta	0.285621600888633
S.D.	0.110981748627759
T-STAT	2.57359074280428
p-value	0.0617439908682388

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-77.8986520404305
beta	16.7596648582946
S.D.	7.27968578430111
T-STAT	2.30225113485495
p-value	0.0827339357609617
Lambda	-15.7596648582946

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -77.8986520404305 \tabularnewline
beta & 16.7596648582946 \tabularnewline
S.D. & 7.27968578430111 \tabularnewline
T-STAT & 2.30225113485495 \tabularnewline
p-value & 0.0827339357609617 \tabularnewline
Lambda & -15.7596648582946 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230494&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-77.8986520404305[/C][/ROW]
[ROW][C]beta[/C][C]16.7596648582946[/C][/ROW]
[ROW][C]S.D.[/C][C]7.27968578430111[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.30225113485495[/C][/ROW]
[ROW][C]p-value[/C][C]0.0827339357609617[/C][/ROW]
[ROW][C]Lambda[/C][C]-15.7596648582946[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230494&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230494&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	-77.8986520404305
beta	16.7596648582946
S.D.	7.27968578430111
T-STAT	2.30225113485495
p-value	0.0827339357609617
Lambda	-15.7596648582946

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