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

Sun, 29 Dec 2013 15:03:24 -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/29/t13883474551t0se1bpylptgkz.htm/, Retrieved Thu, 25 Apr 2024 13:20:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232659, Retrieved Thu, 25 Apr 2024 13:20:49 +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

125

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

-     [Standard Deviation Plot] [] [2013-12-02 09:11:17] [862476833f28e78bdb10134cb7564890]
- RM D    [Standard Deviation-Mean Plot] [] [2013-12-29 20:03:24] [52cb9535ca11c6f6481093732e3934f7] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

6.35
6.33
6.36
6.37
6.33
6.34
6.42
6.42
6.48
6.47
6.5
6.52
6.49
6.51
6.52
6.54
6.59
6.6
6.59
6.58
6.55
6.57
6.61
6.61
6.64
6.59
6.67
6.58
6.66
6.7
6.65
6.65
6.73
6.74
6.74
6.71
6.78
6.83
6.8
6.84
6.81
6.75
6.8
6.84
6.8
6.84
6.79
6.8
6.68
6.82
6.85
6.85
6.85
6.92
6.91
6.94
6.99
7.05
6.98
6.91
6.98
7.06
7.05
6.95
7.09
7.15
7.1
7.2
7.26
7.26
7.24
7.26
7.26
7.3
7.21
7.23
7.33
7.33
7.31
7.3
7.35
7.4
7.43
7.42

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232659&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232659&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232659&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	6.4075	0.0702107217919418	0.19
2	6.56333333333333	0.0407505344824588	0.12
3	6.67166666666667	0.0540762648880489	0.16
4	6.80666666666667	0.0274137766736936	0.0899999999999999
5	6.89583333333333	0.0959600611365653	0.37
6	7.13333333333333	0.111464085804542	0.31
7	7.3225	0.0702107217919418	0.22

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6.4075 & 0.0702107217919418 & 0.19 \tabularnewline
2 & 6.56333333333333 & 0.0407505344824588 & 0.12 \tabularnewline
3 & 6.67166666666667 & 0.0540762648880489 & 0.16 \tabularnewline
4 & 6.80666666666667 & 0.0274137766736936 & 0.0899999999999999 \tabularnewline
5 & 6.89583333333333 & 0.0959600611365653 & 0.37 \tabularnewline
6 & 7.13333333333333 & 0.111464085804542 & 0.31 \tabularnewline
7 & 7.3225 & 0.0702107217919418 & 0.22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232659&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]6.4075[/C][C]0.0702107217919418[/C][C]0.19[/C][/ROW]
[ROW][C]2[/C][C]6.56333333333333[/C][C]0.0407505344824588[/C][C]0.12[/C][/ROW]
[ROW][C]3[/C][C]6.67166666666667[/C][C]0.0540762648880489[/C][C]0.16[/C][/ROW]
[ROW][C]4[/C][C]6.80666666666667[/C][C]0.0274137766736936[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]5[/C][C]6.89583333333333[/C][C]0.0959600611365653[/C][C]0.37[/C][/ROW]
[ROW][C]6[/C][C]7.13333333333333[/C][C]0.111464085804542[/C][C]0.31[/C][/ROW]
[ROW][C]7[/C][C]7.3225[/C][C]0.0702107217919418[/C][C]0.22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232659&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232659&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	6.4075	0.0702107217919418	0.19
2	6.56333333333333	0.0407505344824588	0.12
3	6.67166666666667	0.0540762648880489	0.16
4	6.80666666666667	0.0274137766736936	0.0899999999999999
5	6.89583333333333	0.0959600611365653	0.37
6	7.13333333333333	0.111464085804542	0.31
7	7.3225	0.0702107217919418	0.22

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.21739121521331
beta	0.041669245788512
S.D.	0.0369530829389122
T-STAT	1.12762569383984
p-value	0.310663335365386

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.21739121521331 \tabularnewline
beta & 0.041669245788512 \tabularnewline
S.D. & 0.0369530829389122 \tabularnewline
T-STAT & 1.12762569383984 \tabularnewline
p-value & 0.310663335365386 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232659&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.21739121521331[/C][/ROW]
[ROW][C]beta[/C][C]0.041669245788512[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0369530829389122[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.12762569383984[/C][/ROW]
[ROW][C]p-value[/C][C]0.310663335365386[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232659&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232659&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	-0.21739121521331
beta	0.041669245788512
S.D.	0.0369530829389122
T-STAT	1.12762569383984
p-value	0.310663335365386

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-10.5961454551639
beta	4.06269639648291
S.D.	4.30688017945826
T-STAT	0.943303790028803
p-value	0.388837745138262
Lambda	-3.06269639648291

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.5961454551639 \tabularnewline
beta & 4.06269639648291 \tabularnewline
S.D. & 4.30688017945826 \tabularnewline
T-STAT & 0.943303790028803 \tabularnewline
p-value & 0.388837745138262 \tabularnewline
Lambda & -3.06269639648291 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232659&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.5961454551639[/C][/ROW]
[ROW][C]beta[/C][C]4.06269639648291[/C][/ROW]
[ROW][C]S.D.[/C][C]4.30688017945826[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.943303790028803[/C][/ROW]
[ROW][C]p-value[/C][C]0.388837745138262[/C][/ROW]
[ROW][C]Lambda[/C][C]-3.06269639648291[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232659&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232659&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	-10.5961454551639
beta	4.06269639648291
S.D.	4.30688017945826
T-STAT	0.943303790028803
p-value	0.388837745138262
Lambda	-3.06269639648291

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