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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, 29 Dec 2009 08:10:40 -0700

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/2009/Dec/29/t1262099509z8xe4484ro8ursi.htm/, Retrieved Fri, 03 May 2024 12:31:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71135, Retrieved Fri, 03 May 2024 12:31:49 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

140

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

-       [Standard Deviation-Mean Plot] [sd-mean plot: gou...] [2009-12-29 15:10:40] [dbd46bd47d5f87b1007a5a1708bef00e] [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	4 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71135&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71135&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71135&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	4 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	9728.16666666667	391.010772540124	1074
2	10420.3333333333	419.318350168316	1037
3	10253.5	355.280043192563	1091
4	10557.3333333333	196.798158404786	576
5	10823.25	361.757861006503	1044
6	14655.6666666667	1546.21974995520	5100
7	15666.4166666667	403.947894554671	1394
8	18436.1666666667	1141.55235879866	3710
9	21058.5833333333	1543.91906631576	5112

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9728.16666666667 & 391.010772540124 & 1074 \tabularnewline
2 & 10420.3333333333 & 419.318350168316 & 1037 \tabularnewline
3 & 10253.5 & 355.280043192563 & 1091 \tabularnewline
4 & 10557.3333333333 & 196.798158404786 & 576 \tabularnewline
5 & 10823.25 & 361.757861006503 & 1044 \tabularnewline
6 & 14655.6666666667 & 1546.21974995520 & 5100 \tabularnewline
7 & 15666.4166666667 & 403.947894554671 & 1394 \tabularnewline
8 & 18436.1666666667 & 1141.55235879866 & 3710 \tabularnewline
9 & 21058.5833333333 & 1543.91906631576 & 5112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71135&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]9728.16666666667[/C][C]391.010772540124[/C][C]1074[/C][/ROW]
[ROW][C]2[/C][C]10420.3333333333[/C][C]419.318350168316[/C][C]1037[/C][/ROW]
[ROW][C]3[/C][C]10253.5[/C][C]355.280043192563[/C][C]1091[/C][/ROW]
[ROW][C]4[/C][C]10557.3333333333[/C][C]196.798158404786[/C][C]576[/C][/ROW]
[ROW][C]5[/C][C]10823.25[/C][C]361.757861006503[/C][C]1044[/C][/ROW]
[ROW][C]6[/C][C]14655.6666666667[/C][C]1546.21974995520[/C][C]5100[/C][/ROW]
[ROW][C]7[/C][C]15666.4166666667[/C][C]403.947894554671[/C][C]1394[/C][/ROW]
[ROW][C]8[/C][C]18436.1666666667[/C][C]1141.55235879866[/C][C]3710[/C][/ROW]
[ROW][C]9[/C][C]21058.5833333333[/C][C]1543.91906631576[/C][C]5112[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71135&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71135&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	9728.16666666667	391.010772540124	1074
2	10420.3333333333	419.318350168316	1037
3	10253.5	355.280043192563	1091
4	10557.3333333333	196.798158404786	576
5	10823.25	361.757861006503	1044
6	14655.6666666667	1546.21974995520	5100
7	15666.4166666667	403.947894554671	1394
8	18436.1666666667	1141.55235879866	3710
9	21058.5833333333	1543.91906631576	5112

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-710.185953029436
beta	0.104864629960820
S.D.	0.0298471263355458
T-STAT	3.51339116476126
p-value	0.00981449600825783

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -710.185953029436 \tabularnewline
beta & 0.104864629960820 \tabularnewline
S.D. & 0.0298471263355458 \tabularnewline
T-STAT & 3.51339116476126 \tabularnewline
p-value & 0.00981449600825783 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71135&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-710.185953029436[/C][/ROW]
[ROW][C]beta[/C][C]0.104864629960820[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0298471263355458[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.51339116476126[/C][/ROW]
[ROW][C]p-value[/C][C]0.00981449600825783[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71135&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71135&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	-710.185953029436
beta	0.104864629960820
S.D.	0.0298471263355458
T-STAT	3.51339116476126
p-value	0.00981449600825783

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-13.0942234403364
beta	2.04836374996189
S.D.	0.577308263115553
T-STAT	3.54812823725666
p-value	0.00936721082973429
Lambda	-1.04836374996189

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -13.0942234403364 \tabularnewline
beta & 2.04836374996189 \tabularnewline
S.D. & 0.577308263115553 \tabularnewline
T-STAT & 3.54812823725666 \tabularnewline
p-value & 0.00936721082973429 \tabularnewline
Lambda & -1.04836374996189 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71135&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-13.0942234403364[/C][/ROW]
[ROW][C]beta[/C][C]2.04836374996189[/C][/ROW]
[ROW][C]S.D.[/C][C]0.577308263115553[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.54812823725666[/C][/ROW]
[ROW][C]p-value[/C][C]0.00936721082973429[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.04836374996189[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71135&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71135&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	-13.0942234403364
beta	2.04836374996189
S.D.	0.577308263115553
T-STAT	3.54812823725666
p-value	0.00936721082973429
Lambda	-1.04836374996189

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