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Author's title

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

Fri, 04 Dec 2009 11:21:41 -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/04/t1259950951ok2gdy403tsyeh4.htm/, Retrieved Sat, 27 Apr 2024 17:23:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64004, Retrieved Sat, 27 Apr 2024 17:23:30 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

153

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [Stap 1 workshop 5] [2009-12-04 18:21:41] [865cd78857e928bd6e7d79509c6cdcc5] [Current]
- R PD        [Standard Deviation-Mean Plot] [] [2009-12-05 18:22:12] [6998f38352c0f6bc3cf32a17448703fc] 

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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	0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64004&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]0 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=64004&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64004&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	0 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2466.66666666667	248.912300486202	779
2	2145.25	226.874464687573	824
3	1958.83333333333	259.694517509019	770
4	2015.08333333333	228.126144662965	707
5	2241.16666666667	268.011137262931	1079
6	2453.58333333333	341.973273366457	958
7	2710.16666666667	325.449293169063	1180
8	2348.25	144.371443285588	491
9	2321.33333333333	288.482340197906	895
10	2097.41666666667	266.989090118724	864

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2466.66666666667 & 248.912300486202 & 779 \tabularnewline
2 & 2145.25 & 226.874464687573 & 824 \tabularnewline
3 & 1958.83333333333 & 259.694517509019 & 770 \tabularnewline
4 & 2015.08333333333 & 228.126144662965 & 707 \tabularnewline
5 & 2241.16666666667 & 268.011137262931 & 1079 \tabularnewline
6 & 2453.58333333333 & 341.973273366457 & 958 \tabularnewline
7 & 2710.16666666667 & 325.449293169063 & 1180 \tabularnewline
8 & 2348.25 & 144.371443285588 & 491 \tabularnewline
9 & 2321.33333333333 & 288.482340197906 & 895 \tabularnewline
10 & 2097.41666666667 & 266.989090118724 & 864 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64004&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]2466.66666666667[/C][C]248.912300486202[/C][C]779[/C][/ROW]
[ROW][C]2[/C][C]2145.25[/C][C]226.874464687573[/C][C]824[/C][/ROW]
[ROW][C]3[/C][C]1958.83333333333[/C][C]259.694517509019[/C][C]770[/C][/ROW]
[ROW][C]4[/C][C]2015.08333333333[/C][C]228.126144662965[/C][C]707[/C][/ROW]
[ROW][C]5[/C][C]2241.16666666667[/C][C]268.011137262931[/C][C]1079[/C][/ROW]
[ROW][C]6[/C][C]2453.58333333333[/C][C]341.973273366457[/C][C]958[/C][/ROW]
[ROW][C]7[/C][C]2710.16666666667[/C][C]325.449293169063[/C][C]1180[/C][/ROW]
[ROW][C]8[/C][C]2348.25[/C][C]144.371443285588[/C][C]491[/C][/ROW]
[ROW][C]9[/C][C]2321.33333333333[/C][C]288.482340197906[/C][C]895[/C][/ROW]
[ROW][C]10[/C][C]2097.41666666667[/C][C]266.989090118724[/C][C]864[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64004&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64004&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	2466.66666666667	248.912300486202	779
2	2145.25	226.874464687573	824
3	1958.83333333333	259.694517509019	770
4	2015.08333333333	228.126144662965	707
5	2241.16666666667	268.011137262931	1079
6	2453.58333333333	341.973273366457	958
7	2710.16666666667	325.449293169063	1180
8	2348.25	144.371443285588	491
9	2321.33333333333	288.482340197906	895
10	2097.41666666667	266.989090118724	864

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	47.5953976723255
beta	0.0932838276201809
S.D.	0.0777480678274462
T-STAT	1.19982181199943
p-value	0.264532547230925

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 47.5953976723255 \tabularnewline
beta & 0.0932838276201809 \tabularnewline
S.D. & 0.0777480678274462 \tabularnewline
T-STAT & 1.19982181199943 \tabularnewline
p-value & 0.264532547230925 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64004&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]47.5953976723255[/C][/ROW]
[ROW][C]beta[/C][C]0.0932838276201809[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0777480678274462[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.19982181199943[/C][/ROW]
[ROW][C]p-value[/C][C]0.264532547230925[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64004&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64004&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	47.5953976723255
beta	0.0932838276201809
S.D.	0.0777480678274462
T-STAT	1.19982181199943
p-value	0.264532547230925

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.441789411326433
beta	0.65948307094916
S.D.	0.806391982776343
T-STAT	0.817819478659266
p-value	0.437138348118483
Lambda	0.34051692905084

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.441789411326433 \tabularnewline
beta & 0.65948307094916 \tabularnewline
S.D. & 0.806391982776343 \tabularnewline
T-STAT & 0.817819478659266 \tabularnewline
p-value & 0.437138348118483 \tabularnewline
Lambda & 0.34051692905084 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64004&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.441789411326433[/C][/ROW]
[ROW][C]beta[/C][C]0.65948307094916[/C][/ROW]
[ROW][C]S.D.[/C][C]0.806391982776343[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.817819478659266[/C][/ROW]
[ROW][C]p-value[/C][C]0.437138348118483[/C][/ROW]
[ROW][C]Lambda[/C][C]0.34051692905084[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64004&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64004&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	0.441789411326433
beta	0.65948307094916
S.D.	0.806391982776343
T-STAT	0.817819478659266
p-value	0.437138348118483
Lambda	0.34051692905084

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