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

Wed, 29 Dec 2010 16:08:34 +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/Dec/29/t1293638798uw18ykvptpv7zdu.htm/, Retrieved Fri, 03 May 2024 04:18:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116940, Retrieved Fri, 03 May 2024 04:18:25 +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

111

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

-       [Standard Deviation-Mean Plot] [paper standard de...] [2010-12-29 16:08:34] [be9f1751361e0e66b042227828c71db5] [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	3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116940&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116940&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116940&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	355946.166666667	20221.3643988608	74546
2	371588.5	19496.8229043513	77040
3	390436.75	23993.5352093206	96323
4	424693.916666667	27308.9685916162	104178
5	458885.083333333	29975.2945742090	110432
6	496469.25	20320.0694707340	77802
7	528793.583333333	40107.5720111401	147623
8	561632	25775.8288924122	96749
9	601260.416666667	30942.5666046521	117678
10	678084.916666667	27999.5351080183	115221
11	711253.916666667	19103.3502128831	74683
12	722770.5	18814.0692592248	68427
13	743802.583333333	17268.4197858841	61889
14	750897.5	15842.7372491453	58824
15	761537.166666667	16993.5471113079	62919
16	767004.416666667	15829.7719127790	59854
17	770080.583333333	13885.6943418779	50369

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 355946.166666667 & 20221.3643988608 & 74546 \tabularnewline
2 & 371588.5 & 19496.8229043513 & 77040 \tabularnewline
3 & 390436.75 & 23993.5352093206 & 96323 \tabularnewline
4 & 424693.916666667 & 27308.9685916162 & 104178 \tabularnewline
5 & 458885.083333333 & 29975.2945742090 & 110432 \tabularnewline
6 & 496469.25 & 20320.0694707340 & 77802 \tabularnewline
7 & 528793.583333333 & 40107.5720111401 & 147623 \tabularnewline
8 & 561632 & 25775.8288924122 & 96749 \tabularnewline
9 & 601260.416666667 & 30942.5666046521 & 117678 \tabularnewline
10 & 678084.916666667 & 27999.5351080183 & 115221 \tabularnewline
11 & 711253.916666667 & 19103.3502128831 & 74683 \tabularnewline
12 & 722770.5 & 18814.0692592248 & 68427 \tabularnewline
13 & 743802.583333333 & 17268.4197858841 & 61889 \tabularnewline
14 & 750897.5 & 15842.7372491453 & 58824 \tabularnewline
15 & 761537.166666667 & 16993.5471113079 & 62919 \tabularnewline
16 & 767004.416666667 & 15829.7719127790 & 59854 \tabularnewline
17 & 770080.583333333 & 13885.6943418779 & 50369 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116940&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]355946.166666667[/C][C]20221.3643988608[/C][C]74546[/C][/ROW]
[ROW][C]2[/C][C]371588.5[/C][C]19496.8229043513[/C][C]77040[/C][/ROW]
[ROW][C]3[/C][C]390436.75[/C][C]23993.5352093206[/C][C]96323[/C][/ROW]
[ROW][C]4[/C][C]424693.916666667[/C][C]27308.9685916162[/C][C]104178[/C][/ROW]
[ROW][C]5[/C][C]458885.083333333[/C][C]29975.2945742090[/C][C]110432[/C][/ROW]
[ROW][C]6[/C][C]496469.25[/C][C]20320.0694707340[/C][C]77802[/C][/ROW]
[ROW][C]7[/C][C]528793.583333333[/C][C]40107.5720111401[/C][C]147623[/C][/ROW]
[ROW][C]8[/C][C]561632[/C][C]25775.8288924122[/C][C]96749[/C][/ROW]
[ROW][C]9[/C][C]601260.416666667[/C][C]30942.5666046521[/C][C]117678[/C][/ROW]
[ROW][C]10[/C][C]678084.916666667[/C][C]27999.5351080183[/C][C]115221[/C][/ROW]
[ROW][C]11[/C][C]711253.916666667[/C][C]19103.3502128831[/C][C]74683[/C][/ROW]
[ROW][C]12[/C][C]722770.5[/C][C]18814.0692592248[/C][C]68427[/C][/ROW]
[ROW][C]13[/C][C]743802.583333333[/C][C]17268.4197858841[/C][C]61889[/C][/ROW]
[ROW][C]14[/C][C]750897.5[/C][C]15842.7372491453[/C][C]58824[/C][/ROW]
[ROW][C]15[/C][C]761537.166666667[/C][C]16993.5471113079[/C][C]62919[/C][/ROW]
[ROW][C]16[/C][C]767004.416666667[/C][C]15829.7719127790[/C][C]59854[/C][/ROW]
[ROW][C]17[/C][C]770080.583333333[/C][C]13885.6943418779[/C][C]50369[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116940&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116940&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	355946.166666667	20221.3643988608	74546
2	371588.5	19496.8229043513	77040
3	390436.75	23993.5352093206	96323
4	424693.916666667	27308.9685916162	104178
5	458885.083333333	29975.2945742090	110432
6	496469.25	20320.0694707340	77802
7	528793.583333333	40107.5720111401	147623
8	561632	25775.8288924122	96749
9	601260.416666667	30942.5666046521	117678
10	678084.916666667	27999.5351080183	115221
11	711253.916666667	19103.3502128831	74683
12	722770.5	18814.0692592248	68427
13	743802.583333333	17268.4197858841	61889
14	750897.5	15842.7372491453	58824
15	761537.166666667	16993.5471113079	62919
16	767004.416666667	15829.7719127790	59854
17	770080.583333333	13885.6943418779	50369

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	34571.7431390925
beta	-0.0201919479327689
S.D.	0.0103246130196819
T-STAT	-1.95570990353602
p-value	0.0693893122867898

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 34571.7431390925 \tabularnewline
beta & -0.0201919479327689 \tabularnewline
S.D. & 0.0103246130196819 \tabularnewline
T-STAT & -1.95570990353602 \tabularnewline
p-value & 0.0693893122867898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116940&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]34571.7431390925[/C][/ROW]
[ROW][C]beta[/C][C]-0.0201919479327689[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0103246130196819[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.95570990353602[/C][/ROW]
[ROW][C]p-value[/C][C]0.0693893122867898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116940&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116940&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	34571.7431390925
beta	-0.0201919479327689
S.D.	0.0103246130196819
T-STAT	-1.95570990353602
p-value	0.0693893122867898

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	16.1330157528108
beta	-0.463733035133745
S.D.	0.237712131320334
T-STAT	-1.95081770777963
p-value	0.0700157299899371
Lambda	1.46373303513374

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 16.1330157528108 \tabularnewline
beta & -0.463733035133745 \tabularnewline
S.D. & 0.237712131320334 \tabularnewline
T-STAT & -1.95081770777963 \tabularnewline
p-value & 0.0700157299899371 \tabularnewline
Lambda & 1.46373303513374 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116940&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.1330157528108[/C][/ROW]
[ROW][C]beta[/C][C]-0.463733035133745[/C][/ROW]
[ROW][C]S.D.[/C][C]0.237712131320334[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.95081770777963[/C][/ROW]
[ROW][C]p-value[/C][C]0.0700157299899371[/C][/ROW]
[ROW][C]Lambda[/C][C]1.46373303513374[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116940&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116940&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	16.1330157528108
beta	-0.463733035133745
S.D.	0.237712131320334
T-STAT	-1.95081770777963
p-value	0.0700157299899371
Lambda	1.46373303513374

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