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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

Fri, 18 Dec 2009 04:59:00 -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/18/t1261137593xh2tfg1jjzdlfo9.htm/, Retrieved Sat, 27 Apr 2024 11:15:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69262, Retrieved Sat, 27 Apr 2024 11:15:56 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

151

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

-       [Standard Deviation-Mean Plot] [] [2009-12-18 11:59:00] [02cb93c9d037d32bf77dfc632a3a9fbe] [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' @ 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69262&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69262&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69262&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	91.5775	4.67133448910383	15.05
2	91.2191666666667	2.41978007390354	7.53
3	84.5	2.87952016204720	9.68
4	74.7308333333333	4.75383569214153	17.21
5	80.6458333333333	5.30872944623601	16.13

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 91.5775 & 4.67133448910383 & 15.05 \tabularnewline
2 & 91.2191666666667 & 2.41978007390354 & 7.53 \tabularnewline
3 & 84.5 & 2.87952016204720 & 9.68 \tabularnewline
4 & 74.7308333333333 & 4.75383569214153 & 17.21 \tabularnewline
5 & 80.6458333333333 & 5.30872944623601 & 16.13 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69262&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]91.5775[/C][C]4.67133448910383[/C][C]15.05[/C][/ROW]
[ROW][C]2[/C][C]91.2191666666667[/C][C]2.41978007390354[/C][C]7.53[/C][/ROW]
[ROW][C]3[/C][C]84.5[/C][C]2.87952016204720[/C][C]9.68[/C][/ROW]
[ROW][C]4[/C][C]74.7308333333333[/C][C]4.75383569214153[/C][C]17.21[/C][/ROW]
[ROW][C]5[/C][C]80.6458333333333[/C][C]5.30872944623601[/C][C]16.13[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69262&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69262&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	91.5775	4.67133448910383	15.05
2	91.2191666666667	2.41978007390354	7.53
3	84.5	2.87952016204720	9.68
4	74.7308333333333	4.75383569214153	17.21
5	80.6458333333333	5.30872944623601	16.13

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	11.5237948324676
beta	-0.0889239309291002
S.D.	0.0887724496613176
T-STAT	-1.00170639954581
p-value	0.390297230261467

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 11.5237948324676 \tabularnewline
beta & -0.0889239309291002 \tabularnewline
S.D. & 0.0887724496613176 \tabularnewline
T-STAT & -1.00170639954581 \tabularnewline
p-value & 0.390297230261467 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69262&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.5237948324676[/C][/ROW]
[ROW][C]beta[/C][C]-0.0889239309291002[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0887724496613176[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.00170639954581[/C][/ROW]
[ROW][C]p-value[/C][C]0.390297230261467[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69262&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69262&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	11.5237948324676
beta	-0.0889239309291002
S.D.	0.0887724496613176
T-STAT	-1.00170639954581
p-value	0.390297230261467

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	10.4848248015989
beta	-2.06182582467506
S.D.	2.01252092735642
T-STAT	-1.02449907310202
p-value	0.380995509254798
Lambda	3.06182582467506

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.4848248015989 \tabularnewline
beta & -2.06182582467506 \tabularnewline
S.D. & 2.01252092735642 \tabularnewline
T-STAT & -1.02449907310202 \tabularnewline
p-value & 0.380995509254798 \tabularnewline
Lambda & 3.06182582467506 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69262&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.4848248015989[/C][/ROW]
[ROW][C]beta[/C][C]-2.06182582467506[/C][/ROW]
[ROW][C]S.D.[/C][C]2.01252092735642[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.02449907310202[/C][/ROW]
[ROW][C]p-value[/C][C]0.380995509254798[/C][/ROW]
[ROW][C]Lambda[/C][C]3.06182582467506[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69262&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69262&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	10.4848248015989
beta	-2.06182582467506
S.D.	2.01252092735642
T-STAT	-1.02449907310202
p-value	0.380995509254798
Lambda	3.06182582467506

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