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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

Sun, 20 Dec 2009 11:36:54 -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/20/t1261334326kkkhz58oci5wkeh.htm/, Retrieved Sat, 27 Apr 2024 06:17:05 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69976, Retrieved Sat, 27 Apr 2024 06:17:05 +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)

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D        [Standard Deviation-Mean Plot] [Heterokedasticity] [2009-11-24 18:38:42] [ee7c2e7343f5b1451e62c5c16ec521f1]
- R             [Standard Deviation-Mean Plot] [] [2009-12-04 21:26:53] [859f65298c93b90426725427c75f8582]
-    D              [Standard Deviation-Mean Plot] [] [2009-12-20 18:36:54] [d5175f34d1f80375edd7cbd8232724fe] [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=69976&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=69976&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69976&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	2449.08333333333	308.458471739518	1112
2	2217.25	300.385245067972	1008
3	2068.75	327.297230774608	931
4	1983.75	206.167242349947	683
5	2100.16666666667	203.019404954006	553
6	2360.91666666667	294.065997024581	958
7	2626.5	226.707861675449	687
8	2557.91666666667	379.968529398598	1383
9	2293.83333333333	237.3451010021	827
10	2297.41666666667	273.938433140578	970

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2449.08333333333 & 308.458471739518 & 1112 \tabularnewline
2 & 2217.25 & 300.385245067972 & 1008 \tabularnewline
3 & 2068.75 & 327.297230774608 & 931 \tabularnewline
4 & 1983.75 & 206.167242349947 & 683 \tabularnewline
5 & 2100.16666666667 & 203.019404954006 & 553 \tabularnewline
6 & 2360.91666666667 & 294.065997024581 & 958 \tabularnewline
7 & 2626.5 & 226.707861675449 & 687 \tabularnewline
8 & 2557.91666666667 & 379.968529398598 & 1383 \tabularnewline
9 & 2293.83333333333 & 237.3451010021 & 827 \tabularnewline
10 & 2297.41666666667 & 273.938433140578 & 970 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69976&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]2449.08333333333[/C][C]308.458471739518[/C][C]1112[/C][/ROW]
[ROW][C]2[/C][C]2217.25[/C][C]300.385245067972[/C][C]1008[/C][/ROW]
[ROW][C]3[/C][C]2068.75[/C][C]327.297230774608[/C][C]931[/C][/ROW]
[ROW][C]4[/C][C]1983.75[/C][C]206.167242349947[/C][C]683[/C][/ROW]
[ROW][C]5[/C][C]2100.16666666667[/C][C]203.019404954006[/C][C]553[/C][/ROW]
[ROW][C]6[/C][C]2360.91666666667[/C][C]294.065997024581[/C][C]958[/C][/ROW]
[ROW][C]7[/C][C]2626.5[/C][C]226.707861675449[/C][C]687[/C][/ROW]
[ROW][C]8[/C][C]2557.91666666667[/C][C]379.968529398598[/C][C]1383[/C][/ROW]
[ROW][C]9[/C][C]2293.83333333333[/C][C]237.3451010021[/C][C]827[/C][/ROW]
[ROW][C]10[/C][C]2297.41666666667[/C][C]273.938433140578[/C][C]970[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69976&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69976&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	2449.08333333333	308.458471739518	1112
2	2217.25	300.385245067972	1008
3	2068.75	327.297230774608	931
4	1983.75	206.167242349947	683
5	2100.16666666667	203.019404954006	553
6	2360.91666666667	294.065997024581	958
7	2626.5	226.707861675449	687
8	2557.91666666667	379.968529398598	1383
9	2293.83333333333	237.3451010021	827
10	2297.41666666667	273.938433140578	970

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	47.5417164573631
beta	0.0994065940045259
S.D.	0.0895366316572007
T-STAT	1.11023379107127
p-value	0.299151524918859

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 47.5417164573631 \tabularnewline
beta & 0.0994065940045259 \tabularnewline
S.D. & 0.0895366316572007 \tabularnewline
T-STAT & 1.11023379107127 \tabularnewline
p-value & 0.299151524918859 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69976&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]47.5417164573631[/C][/ROW]
[ROW][C]beta[/C][C]0.0994065940045259[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0895366316572007[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.11023379107127[/C][/ROW]
[ROW][C]p-value[/C][C]0.299151524918859[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69976&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69976&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	47.5417164573631
beta	0.0994065940045259
S.D.	0.0895366316572007
T-STAT	1.11023379107127
p-value	0.299151524918859

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.08626770064342
beta	0.86441744345746
S.D.	0.742386601778027
T-STAT	1.16437640629177
p-value	0.277817369942117
Lambda	0.135582556542540

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.08626770064342 \tabularnewline
beta & 0.86441744345746 \tabularnewline
S.D. & 0.742386601778027 \tabularnewline
T-STAT & 1.16437640629177 \tabularnewline
p-value & 0.277817369942117 \tabularnewline
Lambda & 0.135582556542540 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69976&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.08626770064342[/C][/ROW]
[ROW][C]beta[/C][C]0.86441744345746[/C][/ROW]
[ROW][C]S.D.[/C][C]0.742386601778027[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.16437640629177[/C][/ROW]
[ROW][C]p-value[/C][C]0.277817369942117[/C][/ROW]
[ROW][C]Lambda[/C][C]0.135582556542540[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69976&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69976&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	-1.08626770064342
beta	0.86441744345746
S.D.	0.742386601778027
T-STAT	1.16437640629177
p-value	0.277817369942117
Lambda	0.135582556542540

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