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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, 07 Dec 2011 16:06:15 -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/07/t13232923454csjytl5ps462pc.htm/, Retrieved Fri, 03 May 2024 00:24:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=152733, Retrieved Fri, 03 May 2024 00:24:48 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [SMP] [2011-12-07 21:06:15] [614dd89c388120cee0dd25886939832b] [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	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152733&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]1 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=152733&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152733&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	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	548.25	18.796155312868	62
2	570	20.8675476626878	67
3	545.083333333333	30.0225925030811	95
4	505.416666666667	19.5190272360695	65
5	540.833333333333	21.9165082377037	67
6	594.083333333333	18.8701704638123	53
7	596	21.9834648604975	62
8	569.416666666667	29.2340347519597	76
9	531.333333333333	31.3262403319219	79

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 548.25 & 18.796155312868 & 62 \tabularnewline
2 & 570 & 20.8675476626878 & 67 \tabularnewline
3 & 545.083333333333 & 30.0225925030811 & 95 \tabularnewline
4 & 505.416666666667 & 19.5190272360695 & 65 \tabularnewline
5 & 540.833333333333 & 21.9165082377037 & 67 \tabularnewline
6 & 594.083333333333 & 18.8701704638123 & 53 \tabularnewline
7 & 596 & 21.9834648604975 & 62 \tabularnewline
8 & 569.416666666667 & 29.2340347519597 & 76 \tabularnewline
9 & 531.333333333333 & 31.3262403319219 & 79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152733&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]548.25[/C][C]18.796155312868[/C][C]62[/C][/ROW]
[ROW][C]2[/C][C]570[/C][C]20.8675476626878[/C][C]67[/C][/ROW]
[ROW][C]3[/C][C]545.083333333333[/C][C]30.0225925030811[/C][C]95[/C][/ROW]
[ROW][C]4[/C][C]505.416666666667[/C][C]19.5190272360695[/C][C]65[/C][/ROW]
[ROW][C]5[/C][C]540.833333333333[/C][C]21.9165082377037[/C][C]67[/C][/ROW]
[ROW][C]6[/C][C]594.083333333333[/C][C]18.8701704638123[/C][C]53[/C][/ROW]
[ROW][C]7[/C][C]596[/C][C]21.9834648604975[/C][C]62[/C][/ROW]
[ROW][C]8[/C][C]569.416666666667[/C][C]29.2340347519597[/C][C]76[/C][/ROW]
[ROW][C]9[/C][C]531.333333333333[/C][C]31.3262403319219[/C][C]79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152733&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152733&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	548.25	18.796155312868	62
2	570	20.8675476626878	67
3	545.083333333333	30.0225925030811	95
4	505.416666666667	19.5190272360695	65
5	540.833333333333	21.9165082377037	67
6	594.083333333333	18.8701704638123	53
7	596	21.9834648604975	62
8	569.416666666667	29.2340347519597	76
9	531.333333333333	31.3262403319219	79

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	39.3992813916314
beta	-0.0284091908002496
S.D.	0.0642083258818706
T-STAT	-0.442453379839187
p-value	0.671509590713179

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 39.3992813916314 \tabularnewline
beta & -0.0284091908002496 \tabularnewline
S.D. & 0.0642083258818706 \tabularnewline
T-STAT & -0.442453379839187 \tabularnewline
p-value & 0.671509590713179 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152733&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]39.3992813916314[/C][/ROW]
[ROW][C]beta[/C][C]-0.0284091908002496[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0642083258818706[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.442453379839187[/C][/ROW]
[ROW][C]p-value[/C][C]0.671509590713179[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152733&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152733&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	39.3992813916314
beta	-0.0284091908002496
S.D.	0.0642083258818706
T-STAT	-0.442453379839187
p-value	0.671509590713179

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.54356001081975
beta	-0.538288274052421
S.D.	1.45190255121783
T-STAT	-0.370746833939313
p-value	0.721791167638201
Lambda	1.53828827405242

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.54356001081975 \tabularnewline
beta & -0.538288274052421 \tabularnewline
S.D. & 1.45190255121783 \tabularnewline
T-STAT & -0.370746833939313 \tabularnewline
p-value & 0.721791167638201 \tabularnewline
Lambda & 1.53828827405242 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152733&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.54356001081975[/C][/ROW]
[ROW][C]beta[/C][C]-0.538288274052421[/C][/ROW]
[ROW][C]S.D.[/C][C]1.45190255121783[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.370746833939313[/C][/ROW]
[ROW][C]p-value[/C][C]0.721791167638201[/C][/ROW]
[ROW][C]Lambda[/C][C]1.53828827405242[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152733&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152733&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	6.54356001081975
beta	-0.538288274052421
S.D.	1.45190255121783
T-STAT	-0.370746833939313
p-value	0.721791167638201
Lambda	1.53828827405242

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