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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

Tue, 20 Aug 2013 03:00:29 -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/20/t13769820545gywflav63pib2c.htm/, Retrieved Sat, 27 Apr 2024 09:30:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211234, Retrieved Sat, 27 Apr 2024 09:30:22 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Jespers Eva

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Tijdreeks B - Sta...] [2013-08-20 07:00:29] [987ccabfb1247e6edeac48c68eb55107] [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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211234&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211234&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211234&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	21049.5	2624.4092841836	9784
2	20505.6666666667	3579.09298650658	13046
3	19629.9166666667	3841.03187978376	12684
4	19811.3333333333	4207.34278771451	15583
5	19660.3333333333	4971.69015222157	16670
6	20234.0833333333	5004.41246135182	16670
7	20626.75	4899.90233900822	18120
8	20868.1666666667	5264.01721524771	18120
9	20717.25	5742.20325350344	20294

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 21049.5 & 2624.4092841836 & 9784 \tabularnewline
2 & 20505.6666666667 & 3579.09298650658 & 13046 \tabularnewline
3 & 19629.9166666667 & 3841.03187978376 & 12684 \tabularnewline
4 & 19811.3333333333 & 4207.34278771451 & 15583 \tabularnewline
5 & 19660.3333333333 & 4971.69015222157 & 16670 \tabularnewline
6 & 20234.0833333333 & 5004.41246135182 & 16670 \tabularnewline
7 & 20626.75 & 4899.90233900822 & 18120 \tabularnewline
8 & 20868.1666666667 & 5264.01721524771 & 18120 \tabularnewline
9 & 20717.25 & 5742.20325350344 & 20294 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211234&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]21049.5[/C][C]2624.4092841836[/C][C]9784[/C][/ROW]
[ROW][C]2[/C][C]20505.6666666667[/C][C]3579.09298650658[/C][C]13046[/C][/ROW]
[ROW][C]3[/C][C]19629.9166666667[/C][C]3841.03187978376[/C][C]12684[/C][/ROW]
[ROW][C]4[/C][C]19811.3333333333[/C][C]4207.34278771451[/C][C]15583[/C][/ROW]
[ROW][C]5[/C][C]19660.3333333333[/C][C]4971.69015222157[/C][C]16670[/C][/ROW]
[ROW][C]6[/C][C]20234.0833333333[/C][C]5004.41246135182[/C][C]16670[/C][/ROW]
[ROW][C]7[/C][C]20626.75[/C][C]4899.90233900822[/C][C]18120[/C][/ROW]
[ROW][C]8[/C][C]20868.1666666667[/C][C]5264.01721524771[/C][C]18120[/C][/ROW]
[ROW][C]9[/C][C]20717.25[/C][C]5742.20325350344[/C][C]20294[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211234&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211234&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	21049.5	2624.4092841836	9784
2	20505.6666666667	3579.09298650658	13046
3	19629.9166666667	3841.03187978376	12684
4	19811.3333333333	4207.34278771451	15583
5	19660.3333333333	4971.69015222157	16670
6	20234.0833333333	5004.41246135182	16670
7	20626.75	4899.90233900822	18120
8	20868.1666666667	5264.01721524771	18120
9	20717.25	5742.20325350344	20294

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6644.80745941699
beta	-0.107421313551562
S.D.	0.688773865186969
T-STAT	-0.15596020549125
p-value	0.880466792173186

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6644.80745941699 \tabularnewline
beta & -0.107421313551562 \tabularnewline
S.D. & 0.688773865186969 \tabularnewline
T-STAT & -0.15596020549125 \tabularnewline
p-value & 0.880466792173186 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211234&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6644.80745941699[/C][/ROW]
[ROW][C]beta[/C][C]-0.107421313551562[/C][/ROW]
[ROW][C]S.D.[/C][C]0.688773865186969[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.15596020549125[/C][/ROW]
[ROW][C]p-value[/C][C]0.880466792173186[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211234&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211234&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	6644.80745941699
beta	-0.107421313551562
S.D.	0.688773865186969
T-STAT	-0.15596020549125
p-value	0.880466792173186

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	21.2382256690583
beta	-1.2963318208546
S.D.	3.45598356943593
T-STAT	-0.375097796274007
p-value	0.718694522511218
Lambda	2.2963318208546

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 21.2382256690583 \tabularnewline
beta & -1.2963318208546 \tabularnewline
S.D. & 3.45598356943593 \tabularnewline
T-STAT & -0.375097796274007 \tabularnewline
p-value & 0.718694522511218 \tabularnewline
Lambda & 2.2963318208546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211234&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.2382256690583[/C][/ROW]
[ROW][C]beta[/C][C]-1.2963318208546[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45598356943593[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375097796274007[/C][/ROW]
[ROW][C]p-value[/C][C]0.718694522511218[/C][/ROW]
[ROW][C]Lambda[/C][C]2.2963318208546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211234&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211234&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	21.2382256690583
beta	-1.2963318208546
S.D.	3.45598356943593
T-STAT	-0.375097796274007
p-value	0.718694522511218
Lambda	2.2963318208546

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code