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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

Mon, 13 Jan 2014 04:34:51 -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/2014/Jan/13/t1389605697gsew2qpp2gskyle.htm/, Retrieved Sun, 19 May 2024 09:16:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233126, Retrieved Sun, 19 May 2024 09:16:22 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

146

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

-       [Standard Deviation-Mean Plot] [] [2014-01-13 09:34:51] [f6b0814d1ccce07ea30140b42d9cb647] [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	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233126&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233126&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233126&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	41648.25	10064.2160614634	37070
2	39402.5	12354.5256080515	38034
3	38597.75	7707.26251513939	24105
4	40771.8333333333	10830.9352054309	36371
5	40408.8333333333	9487.27142336542	31546
6	44191.3333333333	12723.604608853	44330
7	44085.4166666667	10099.3705785724	35851
8	45045.1666666667	12611.7064726196	40344
9	39993.3333333333	7562.7555864649	24145
10	45971.75	9900.86752053026	35380
11	48115.1666666667	8507.22365600748	28841
12	40892.5833333333	9824.73766902463	38475

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 41648.25 & 10064.2160614634 & 37070 \tabularnewline
2 & 39402.5 & 12354.5256080515 & 38034 \tabularnewline
3 & 38597.75 & 7707.26251513939 & 24105 \tabularnewline
4 & 40771.8333333333 & 10830.9352054309 & 36371 \tabularnewline
5 & 40408.8333333333 & 9487.27142336542 & 31546 \tabularnewline
6 & 44191.3333333333 & 12723.604608853 & 44330 \tabularnewline
7 & 44085.4166666667 & 10099.3705785724 & 35851 \tabularnewline
8 & 45045.1666666667 & 12611.7064726196 & 40344 \tabularnewline
9 & 39993.3333333333 & 7562.7555864649 & 24145 \tabularnewline
10 & 45971.75 & 9900.86752053026 & 35380 \tabularnewline
11 & 48115.1666666667 & 8507.22365600748 & 28841 \tabularnewline
12 & 40892.5833333333 & 9824.73766902463 & 38475 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233126&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]41648.25[/C][C]10064.2160614634[/C][C]37070[/C][/ROW]
[ROW][C]2[/C][C]39402.5[/C][C]12354.5256080515[/C][C]38034[/C][/ROW]
[ROW][C]3[/C][C]38597.75[/C][C]7707.26251513939[/C][C]24105[/C][/ROW]
[ROW][C]4[/C][C]40771.8333333333[/C][C]10830.9352054309[/C][C]36371[/C][/ROW]
[ROW][C]5[/C][C]40408.8333333333[/C][C]9487.27142336542[/C][C]31546[/C][/ROW]
[ROW][C]6[/C][C]44191.3333333333[/C][C]12723.604608853[/C][C]44330[/C][/ROW]
[ROW][C]7[/C][C]44085.4166666667[/C][C]10099.3705785724[/C][C]35851[/C][/ROW]
[ROW][C]8[/C][C]45045.1666666667[/C][C]12611.7064726196[/C][C]40344[/C][/ROW]
[ROW][C]9[/C][C]39993.3333333333[/C][C]7562.7555864649[/C][C]24145[/C][/ROW]
[ROW][C]10[/C][C]45971.75[/C][C]9900.86752053026[/C][C]35380[/C][/ROW]
[ROW][C]11[/C][C]48115.1666666667[/C][C]8507.22365600748[/C][C]28841[/C][/ROW]
[ROW][C]12[/C][C]40892.5833333333[/C][C]9824.73766902463[/C][C]38475[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233126&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233126&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	41648.25	10064.2160614634	37070
2	39402.5	12354.5256080515	38034
3	38597.75	7707.26251513939	24105
4	40771.8333333333	10830.9352054309	36371
5	40408.8333333333	9487.27142336542	31546
6	44191.3333333333	12723.604608853	44330
7	44085.4166666667	10099.3705785724	35851
8	45045.1666666667	12611.7064726196	40344
9	39993.3333333333	7562.7555864649	24145
10	45971.75	9900.86752053026	35380
11	48115.1666666667	8507.22365600748	28841
12	40892.5833333333	9824.73766902463	38475

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	5582.85812366041
beta	0.107400531838299
S.D.	0.183921980524875
T-STAT	0.58394614679442
p-value	0.572192442238619

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5582.85812366041 \tabularnewline
beta & 0.107400531838299 \tabularnewline
S.D. & 0.183921980524875 \tabularnewline
T-STAT & 0.58394614679442 \tabularnewline
p-value & 0.572192442238619 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233126&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5582.85812366041[/C][/ROW]
[ROW][C]beta[/C][C]0.107400531838299[/C][/ROW]
[ROW][C]S.D.[/C][C]0.183921980524875[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.58394614679442[/C][/ROW]
[ROW][C]p-value[/C][C]0.572192442238619[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233126&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233126&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	5582.85812366041
beta	0.107400531838299
S.D.	0.183921980524875
T-STAT	0.58394614679442
p-value	0.572192442238619

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	3.45320319354618
beta	0.540397303619559
S.D.	0.784351537898494
T-STAT	0.688973346144562
p-value	0.506510185134183
Lambda	0.459602696380441

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.45320319354618 \tabularnewline
beta & 0.540397303619559 \tabularnewline
S.D. & 0.784351537898494 \tabularnewline
T-STAT & 0.688973346144562 \tabularnewline
p-value & 0.506510185134183 \tabularnewline
Lambda & 0.459602696380441 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233126&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.45320319354618[/C][/ROW]
[ROW][C]beta[/C][C]0.540397303619559[/C][/ROW]
[ROW][C]S.D.[/C][C]0.784351537898494[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.688973346144562[/C][/ROW]
[ROW][C]p-value[/C][C]0.506510185134183[/C][/ROW]
[ROW][C]Lambda[/C][C]0.459602696380441[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233126&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233126&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	3.45320319354618
beta	0.540397303619559
S.D.	0.784351537898494
T-STAT	0.688973346144562
p-value	0.506510185134183
Lambda	0.459602696380441

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