Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 27 Nov 2009 09:05:59 -0700

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/2009/Nov/27/t1259338019sibbbuo67dpggt9.htm/, Retrieved Sun, 28 Apr 2024 23:02:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60939, Retrieved Sun, 28 Apr 2024 23:02:52 +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

160

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D        [Standard Deviation-Mean Plot] [ws 8] [2009-11-24 21:12:18] [b5908418e3090fddbd22f5f0f774653d]
-    D            [Standard Deviation-Mean Plot] [WS8 SDMP] [2009-11-27 16:05:59] [557d56ec4b06cd0135c259898de8ce95] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

10284,5
12792
12823,61538
13845,66667
15335,63636
11188,5
13633,25
12298,46667
15353,63636
12696,15385
12213,93333
13683,72727
11214,14286
13950,23077
11179,13333
11801,875
11188,82353
16456,27273
11110,0625
16530,69231
10038,41176
11681,25
11148,88235
8631
9386,444444
9764,736842
12043,75
12948,06667
10987,125
11648,3125
10633,35294
10219,3
9037,6
10296,31579
11705,41176
10681,94444
9362,947368
11306,35294
10984,45
10062,61905
8118,583333
8867,48
8346,72
8529,307692
10697,18182
8591,84
8695,607143
8125,571429
7009,758621
7883,466667
7527,645161
6763,758621
6682,333333
7855,681818
6738,88
7895,434783
6361,884615
6935,956522
8344,454545
9107,944444

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60939&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60939&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60939&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	13012.4238241667	1492.67332184433	5069.13636
2	12077.5647616667	2391.67836296506	7899.69231
3	10779.3633655	1149.66381880483	3910.46667
4	9307.38839791667	1157.24705262927	3187.769607
5	7425.5999275	815.005611369471	2746.059829

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 13012.4238241667 & 1492.67332184433 & 5069.13636 \tabularnewline
2 & 12077.5647616667 & 2391.67836296506 & 7899.69231 \tabularnewline
3 & 10779.3633655 & 1149.66381880483 & 3910.46667 \tabularnewline
4 & 9307.38839791667 & 1157.24705262927 & 3187.769607 \tabularnewline
5 & 7425.5999275 & 815.005611369471 & 2746.059829 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60939&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]13012.4238241667[/C][C]1492.67332184433[/C][C]5069.13636[/C][/ROW]
[ROW][C]2[/C][C]12077.5647616667[/C][C]2391.67836296506[/C][C]7899.69231[/C][/ROW]
[ROW][C]3[/C][C]10779.3633655[/C][C]1149.66381880483[/C][C]3910.46667[/C][/ROW]
[ROW][C]4[/C][C]9307.38839791667[/C][C]1157.24705262927[/C][C]3187.769607[/C][/ROW]
[ROW][C]5[/C][C]7425.5999275[/C][C]815.005611369471[/C][C]2746.059829[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60939&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60939&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	13012.4238241667	1492.67332184433	5069.13636
2	12077.5647616667	2391.67836296506	7899.69231
3	10779.3633655	1149.66381880483	3910.46667
4	9307.38839791667	1157.24705262927	3187.769607
5	7425.5999275	815.005611369471	2746.059829

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-630.925290811833
beta	0.193164307295339
S.D.	0.110144775690394
T-STAT	1.75373099708609
p-value	0.177755266426474

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -630.925290811833 \tabularnewline
beta & 0.193164307295339 \tabularnewline
S.D. & 0.110144775690394 \tabularnewline
T-STAT & 1.75373099708609 \tabularnewline
p-value & 0.177755266426474 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60939&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-630.925290811833[/C][/ROW]
[ROW][C]beta[/C][C]0.193164307295339[/C][/ROW]
[ROW][C]S.D.[/C][C]0.110144775690394[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.75373099708609[/C][/ROW]
[ROW][C]p-value[/C][C]0.177755266426474[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60939&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60939&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	-630.925290811833
beta	0.193164307295339
S.D.	0.110144775690394
T-STAT	1.75373099708609
p-value	0.177755266426474

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-6.18359205649245
beta	1.445815032963
S.D.	0.60686834547823
T-STAT	2.38241958694296
p-value	0.0974048873856452
Lambda	-0.445815032963

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.18359205649245 \tabularnewline
beta & 1.445815032963 \tabularnewline
S.D. & 0.60686834547823 \tabularnewline
T-STAT & 2.38241958694296 \tabularnewline
p-value & 0.0974048873856452 \tabularnewline
Lambda & -0.445815032963 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60939&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.18359205649245[/C][/ROW]
[ROW][C]beta[/C][C]1.445815032963[/C][/ROW]
[ROW][C]S.D.[/C][C]0.60686834547823[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.38241958694296[/C][/ROW]
[ROW][C]p-value[/C][C]0.0974048873856452[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.445815032963[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60939&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60939&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	-6.18359205649245
beta	1.445815032963
S.D.	0.60686834547823
T-STAT	2.38241958694296
p-value	0.0974048873856452
Lambda	-0.445815032963

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