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, 04 Dec 2011 15:53:31 -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/2011/Dec/04/t1323032041xrn5t31gxnqjz0j.htm/, Retrieved Sun, 05 May 2024 11:21:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150769, Retrieved Sun, 05 May 2024 11:21:30 +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

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

-       [Standard Deviation-Mean Plot] [] [2011-12-04 20:53:31] [25bd055699d3ffa05f522cc79bb2ff75] [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	2 seconds
R Server	'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150769&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150769&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150769&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	'AstonUniversity' @ aston.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	555527.5	8503.037516088	18726
2	570919.25	36821.2552508738	74101
3	603389.5	9934.04766447192	18446
4	584443	8047.15382397197	17765
5	596525.75	32834.5384656157	61428
6	608223.5	15304.2564994187	32828
7	584371	8914.77257141202	19203
8	597773.25	28881.7952855543	53034
9	582639.25	27948.3258815861	62642
10	541755.5	15885.5433334841	34657
11	532413.25	32445.3433266368	65929
12	523207.75	14305.3158971295	31811
13	501837	12644.6096815995	26679
14	502226.5	33443.8653118924	64233
15	510531.5	7756.82858304002	16079
16	533429.25	3905.34739171818	8313
17	560743.75	36211.5326231391	72997
18	569413.5	10336.7037460369	22963
19	567413.5	12712.5423237578	28581
20	571772.25	35857.5014780729	67344
21	562389.25	17128.6463247002	37507

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 555527.5 & 8503.037516088 & 18726 \tabularnewline
2 & 570919.25 & 36821.2552508738 & 74101 \tabularnewline
3 & 603389.5 & 9934.04766447192 & 18446 \tabularnewline
4 & 584443 & 8047.15382397197 & 17765 \tabularnewline
5 & 596525.75 & 32834.5384656157 & 61428 \tabularnewline
6 & 608223.5 & 15304.2564994187 & 32828 \tabularnewline
7 & 584371 & 8914.77257141202 & 19203 \tabularnewline
8 & 597773.25 & 28881.7952855543 & 53034 \tabularnewline
9 & 582639.25 & 27948.3258815861 & 62642 \tabularnewline
10 & 541755.5 & 15885.5433334841 & 34657 \tabularnewline
11 & 532413.25 & 32445.3433266368 & 65929 \tabularnewline
12 & 523207.75 & 14305.3158971295 & 31811 \tabularnewline
13 & 501837 & 12644.6096815995 & 26679 \tabularnewline
14 & 502226.5 & 33443.8653118924 & 64233 \tabularnewline
15 & 510531.5 & 7756.82858304002 & 16079 \tabularnewline
16 & 533429.25 & 3905.34739171818 & 8313 \tabularnewline
17 & 560743.75 & 36211.5326231391 & 72997 \tabularnewline
18 & 569413.5 & 10336.7037460369 & 22963 \tabularnewline
19 & 567413.5 & 12712.5423237578 & 28581 \tabularnewline
20 & 571772.25 & 35857.5014780729 & 67344 \tabularnewline
21 & 562389.25 & 17128.6463247002 & 37507 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150769&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]555527.5[/C][C]8503.037516088[/C][C]18726[/C][/ROW]
[ROW][C]2[/C][C]570919.25[/C][C]36821.2552508738[/C][C]74101[/C][/ROW]
[ROW][C]3[/C][C]603389.5[/C][C]9934.04766447192[/C][C]18446[/C][/ROW]
[ROW][C]4[/C][C]584443[/C][C]8047.15382397197[/C][C]17765[/C][/ROW]
[ROW][C]5[/C][C]596525.75[/C][C]32834.5384656157[/C][C]61428[/C][/ROW]
[ROW][C]6[/C][C]608223.5[/C][C]15304.2564994187[/C][C]32828[/C][/ROW]
[ROW][C]7[/C][C]584371[/C][C]8914.77257141202[/C][C]19203[/C][/ROW]
[ROW][C]8[/C][C]597773.25[/C][C]28881.7952855543[/C][C]53034[/C][/ROW]
[ROW][C]9[/C][C]582639.25[/C][C]27948.3258815861[/C][C]62642[/C][/ROW]
[ROW][C]10[/C][C]541755.5[/C][C]15885.5433334841[/C][C]34657[/C][/ROW]
[ROW][C]11[/C][C]532413.25[/C][C]32445.3433266368[/C][C]65929[/C][/ROW]
[ROW][C]12[/C][C]523207.75[/C][C]14305.3158971295[/C][C]31811[/C][/ROW]
[ROW][C]13[/C][C]501837[/C][C]12644.6096815995[/C][C]26679[/C][/ROW]
[ROW][C]14[/C][C]502226.5[/C][C]33443.8653118924[/C][C]64233[/C][/ROW]
[ROW][C]15[/C][C]510531.5[/C][C]7756.82858304002[/C][C]16079[/C][/ROW]
[ROW][C]16[/C][C]533429.25[/C][C]3905.34739171818[/C][C]8313[/C][/ROW]
[ROW][C]17[/C][C]560743.75[/C][C]36211.5326231391[/C][C]72997[/C][/ROW]
[ROW][C]18[/C][C]569413.5[/C][C]10336.7037460369[/C][C]22963[/C][/ROW]
[ROW][C]19[/C][C]567413.5[/C][C]12712.5423237578[/C][C]28581[/C][/ROW]
[ROW][C]20[/C][C]571772.25[/C][C]35857.5014780729[/C][C]67344[/C][/ROW]
[ROW][C]21[/C][C]562389.25[/C][C]17128.6463247002[/C][C]37507[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150769&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150769&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	555527.5	8503.037516088	18726
2	570919.25	36821.2552508738	74101
3	603389.5	9934.04766447192	18446
4	584443	8047.15382397197	17765
5	596525.75	32834.5384656157	61428
6	608223.5	15304.2564994187	32828
7	584371	8914.77257141202	19203
8	597773.25	28881.7952855543	53034
9	582639.25	27948.3258815861	62642
10	541755.5	15885.5433334841	34657
11	532413.25	32445.3433266368	65929
12	523207.75	14305.3158971295	31811
13	501837	12644.6096815995	26679
14	502226.5	33443.8653118924	64233
15	510531.5	7756.82858304002	16079
16	533429.25	3905.34739171818	8313
17	560743.75	36211.5326231391	72997
18	569413.5	10336.7037460369	22963
19	567413.5	12712.5423237578	28581
20	571772.25	35857.5014780729	67344
21	562389.25	17128.6463247002	37507

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2082.5918508582
beta	0.0311274760754495
S.D.	0.0799609755532856
T-STAT	0.389283345532801
p-value	0.701395244740958

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2082.5918508582 \tabularnewline
beta & 0.0311274760754495 \tabularnewline
S.D. & 0.0799609755532856 \tabularnewline
T-STAT & 0.389283345532801 \tabularnewline
p-value & 0.701395244740958 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150769&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2082.5918508582[/C][/ROW]
[ROW][C]beta[/C][C]0.0311274760754495[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0799609755532856[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.389283345532801[/C][/ROW]
[ROW][C]p-value[/C][C]0.701395244740958[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150769&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150769&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	2082.5918508582
beta	0.0311274760754495
S.D.	0.0799609755532856
T-STAT	0.389283345532801
p-value	0.701395244740958

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-8.24460061422805
beta	1.35537047117053
S.D.	2.50541406097213
T-STAT	0.540976636270905
p-value	0.594810108361683
Lambda	-0.355370471170532

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.24460061422805 \tabularnewline
beta & 1.35537047117053 \tabularnewline
S.D. & 2.50541406097213 \tabularnewline
T-STAT & 0.540976636270905 \tabularnewline
p-value & 0.594810108361683 \tabularnewline
Lambda & -0.355370471170532 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150769&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.24460061422805[/C][/ROW]
[ROW][C]beta[/C][C]1.35537047117053[/C][/ROW]
[ROW][C]S.D.[/C][C]2.50541406097213[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.540976636270905[/C][/ROW]
[ROW][C]p-value[/C][C]0.594810108361683[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.355370471170532[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150769&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150769&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	-8.24460061422805
beta	1.35537047117053
S.D.	2.50541406097213
T-STAT	0.540976636270905
p-value	0.594810108361683
Lambda	-0.355370471170532

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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