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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 17 Aug 2013 13:56:16 -0400

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/Aug/17/t1376762218pp0se6kk7ceybi7.htm/, Retrieved Sun, 28 Apr 2024 23:54:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211149, Retrieved Sun, 28 Apr 2024 23:54:22 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

181

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

-       [Standard Deviation-Mean Plot] [standard deviatio...] [2013-08-17 17:56:16] [3e2b14d12dd0cca2f2b67dfbdf2cdaf9] [Current]

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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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211149&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211149&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211149&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	42122.3333333333	1427.5170009071	4258
2	42858.6666666667	1514.69470871396	4907
3	43977.1666666667	1485.77869594813	4749
4	45381.8333333333	1519.99628189338	5240
5	44006.25	2503.18056316722	8993
6	40052.5833333333	2984.25969069636	10307
7	36030	2454.24270860224	8833
8	30535.8333333333	3420.59327212888	12426
9	26623.1666666667	3819.71907185316	12760
10	21224	4227.37414736597	14564

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 42122.3333333333 & 1427.5170009071 & 4258 \tabularnewline
2 & 42858.6666666667 & 1514.69470871396 & 4907 \tabularnewline
3 & 43977.1666666667 & 1485.77869594813 & 4749 \tabularnewline
4 & 45381.8333333333 & 1519.99628189338 & 5240 \tabularnewline
5 & 44006.25 & 2503.18056316722 & 8993 \tabularnewline
6 & 40052.5833333333 & 2984.25969069636 & 10307 \tabularnewline
7 & 36030 & 2454.24270860224 & 8833 \tabularnewline
8 & 30535.8333333333 & 3420.59327212888 & 12426 \tabularnewline
9 & 26623.1666666667 & 3819.71907185316 & 12760 \tabularnewline
10 & 21224 & 4227.37414736597 & 14564 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211149&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]42122.3333333333[/C][C]1427.5170009071[/C][C]4258[/C][/ROW]
[ROW][C]2[/C][C]42858.6666666667[/C][C]1514.69470871396[/C][C]4907[/C][/ROW]
[ROW][C]3[/C][C]43977.1666666667[/C][C]1485.77869594813[/C][C]4749[/C][/ROW]
[ROW][C]4[/C][C]45381.8333333333[/C][C]1519.99628189338[/C][C]5240[/C][/ROW]
[ROW][C]5[/C][C]44006.25[/C][C]2503.18056316722[/C][C]8993[/C][/ROW]
[ROW][C]6[/C][C]40052.5833333333[/C][C]2984.25969069636[/C][C]10307[/C][/ROW]
[ROW][C]7[/C][C]36030[/C][C]2454.24270860224[/C][C]8833[/C][/ROW]
[ROW][C]8[/C][C]30535.8333333333[/C][C]3420.59327212888[/C][C]12426[/C][/ROW]
[ROW][C]9[/C][C]26623.1666666667[/C][C]3819.71907185316[/C][C]12760[/C][/ROW]
[ROW][C]10[/C][C]21224[/C][C]4227.37414736597[/C][C]14564[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211149&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211149&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	42122.3333333333	1427.5170009071	4258
2	42858.6666666667	1514.69470871396	4907
3	43977.1666666667	1485.77869594813	4749
4	45381.8333333333	1519.99628189338	5240
5	44006.25	2503.18056316722	8993
6	40052.5833333333	2984.25969069636	10307
7	36030	2454.24270860224	8833
8	30535.8333333333	3420.59327212888	12426
9	26623.1666666667	3819.71907185316	12760
10	21224	4227.37414736597	14564

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6754.1061047826
beta	-0.113150123292446
S.D.	0.0185881289141975
T-STAT	-6.08722501413377
p-value	0.000293577619473061

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6754.1061047826 \tabularnewline
beta & -0.113150123292446 \tabularnewline
S.D. & 0.0185881289141975 \tabularnewline
T-STAT & -6.08722501413377 \tabularnewline
p-value & 0.000293577619473061 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211149&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6754.1061047826[/C][/ROW]
[ROW][C]beta[/C][C]-0.113150123292446[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185881289141975[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08722501413377[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293577619473061[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211149&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211149&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	6754.1061047826
beta	-0.113150123292446
S.D.	0.0185881289141975
T-STAT	-6.08722501413377
p-value	0.000293577619473061

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	22.308483294442
beta	-1.38586392421411
S.D.	0.316578285344318
T-STAT	-4.37763418519629
p-value	0.00235624547935005
Lambda	2.38586392421411

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 22.308483294442 \tabularnewline
beta & -1.38586392421411 \tabularnewline
S.D. & 0.316578285344318 \tabularnewline
T-STAT & -4.37763418519629 \tabularnewline
p-value & 0.00235624547935005 \tabularnewline
Lambda & 2.38586392421411 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211149&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.308483294442[/C][/ROW]
[ROW][C]beta[/C][C]-1.38586392421411[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316578285344318[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37763418519629[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235624547935005[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38586392421411[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211149&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211149&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	22.308483294442
beta	-1.38586392421411
S.D.	0.316578285344318
T-STAT	-4.37763418519629
p-value	0.00235624547935005
Lambda	2.38586392421411

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