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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

Sat, 19 Dec 2009 02:32:57 -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/19/t12612153393to7zslg2lis4nv.htm/, Retrieved Fri, 03 May 2024 17:07:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69467, Retrieved Fri, 03 May 2024 17:07:24 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

150

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] [2008-12-19 09:08:39] [74be16979710d4c4e7c6647856088456]
-  M      [Standard Deviation-Mean Plot] [Deviation-Mean Pl...] [2009-12-19 09:32:57] [f066b5fba39549422fd1c7a1f2ce0075] [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=69467&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=69467&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69467&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	2278010	1514485.52770191	4682560
2	2282915.66666667	1417992.94939934	4750323
3	2279142.16666667	1376242.33678354	4712120
4	2334554.91666667	1305208.88773354	4430605
5	2394115.25	1231014.66807959	4216844
6	2376885.5	1177358.80791298	4051622
7	2335269.75	1106666.64694389	3703736
8	2373101.08333333	1160626.16581947	4119631
9	2434606.83333333	1087144.39074467	3561860
10	2391163.25	1059153.98602514	3405784
11	2424378.16666667	1097719.64407666	3599250
12	2418207.41666667	1099612.01247402	3559955

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2278010 & 1514485.52770191 & 4682560 \tabularnewline
2 & 2282915.66666667 & 1417992.94939934 & 4750323 \tabularnewline
3 & 2279142.16666667 & 1376242.33678354 & 4712120 \tabularnewline
4 & 2334554.91666667 & 1305208.88773354 & 4430605 \tabularnewline
5 & 2394115.25 & 1231014.66807959 & 4216844 \tabularnewline
6 & 2376885.5 & 1177358.80791298 & 4051622 \tabularnewline
7 & 2335269.75 & 1106666.64694389 & 3703736 \tabularnewline
8 & 2373101.08333333 & 1160626.16581947 & 4119631 \tabularnewline
9 & 2434606.83333333 & 1087144.39074467 & 3561860 \tabularnewline
10 & 2391163.25 & 1059153.98602514 & 3405784 \tabularnewline
11 & 2424378.16666667 & 1097719.64407666 & 3599250 \tabularnewline
12 & 2418207.41666667 & 1099612.01247402 & 3559955 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69467&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]2278010[/C][C]1514485.52770191[/C][C]4682560[/C][/ROW]
[ROW][C]2[/C][C]2282915.66666667[/C][C]1417992.94939934[/C][C]4750323[/C][/ROW]
[ROW][C]3[/C][C]2279142.16666667[/C][C]1376242.33678354[/C][C]4712120[/C][/ROW]
[ROW][C]4[/C][C]2334554.91666667[/C][C]1305208.88773354[/C][C]4430605[/C][/ROW]
[ROW][C]5[/C][C]2394115.25[/C][C]1231014.66807959[/C][C]4216844[/C][/ROW]
[ROW][C]6[/C][C]2376885.5[/C][C]1177358.80791298[/C][C]4051622[/C][/ROW]
[ROW][C]7[/C][C]2335269.75[/C][C]1106666.64694389[/C][C]3703736[/C][/ROW]
[ROW][C]8[/C][C]2373101.08333333[/C][C]1160626.16581947[/C][C]4119631[/C][/ROW]
[ROW][C]9[/C][C]2434606.83333333[/C][C]1087144.39074467[/C][C]3561860[/C][/ROW]
[ROW][C]10[/C][C]2391163.25[/C][C]1059153.98602514[/C][C]3405784[/C][/ROW]
[ROW][C]11[/C][C]2424378.16666667[/C][C]1097719.64407666[/C][C]3599250[/C][/ROW]
[ROW][C]12[/C][C]2418207.41666667[/C][C]1099612.01247402[/C][C]3559955[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69467&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69467&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	2278010	1514485.52770191	4682560
2	2282915.66666667	1417992.94939934	4750323
3	2279142.16666667	1376242.33678354	4712120
4	2334554.91666667	1305208.88773354	4430605
5	2394115.25	1231014.66807959	4216844
6	2376885.5	1177358.80791298	4051622
7	2335269.75	1106666.64694389	3703736
8	2373101.08333333	1160626.16581947	4119631
9	2434606.83333333	1087144.39074467	3561860
10	2391163.25	1059153.98602514	3405784
11	2424378.16666667	1097719.64407666	3599250
12	2418207.41666667	1099612.01247402	3559955

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6594496.0058748
beta	-2.27737903270042
S.D.	0.412017558262943
T-STAT	-5.52738345011752
p-value	0.000251937457892238

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6594496.0058748 \tabularnewline
beta & -2.27737903270042 \tabularnewline
S.D. & 0.412017558262943 \tabularnewline
T-STAT & -5.52738345011752 \tabularnewline
p-value & 0.000251937457892238 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69467&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6594496.0058748[/C][/ROW]
[ROW][C]beta[/C][C]-2.27737903270042[/C][/ROW]
[ROW][C]S.D.[/C][C]0.412017558262943[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.52738345011752[/C][/ROW]
[ROW][C]p-value[/C][C]0.000251937457892238[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69467&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69467&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	6594496.0058748
beta	-2.27737903270042
S.D.	0.412017558262943
T-STAT	-5.52738345011752
p-value	0.000251937457892238

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	76.311323143592
beta	-4.24588798201156
S.D.	0.766730879315943
T-STAT	-5.53765094970432
p-value	0.000248346898549849
Lambda	5.24588798201156

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 76.311323143592 \tabularnewline
beta & -4.24588798201156 \tabularnewline
S.D. & 0.766730879315943 \tabularnewline
T-STAT & -5.53765094970432 \tabularnewline
p-value & 0.000248346898549849 \tabularnewline
Lambda & 5.24588798201156 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69467&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]76.311323143592[/C][/ROW]
[ROW][C]beta[/C][C]-4.24588798201156[/C][/ROW]
[ROW][C]S.D.[/C][C]0.766730879315943[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.53765094970432[/C][/ROW]
[ROW][C]p-value[/C][C]0.000248346898549849[/C][/ROW]
[ROW][C]Lambda[/C][C]5.24588798201156[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69467&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69467&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	76.311323143592
beta	-4.24588798201156
S.D.	0.766730879315943
T-STAT	-5.53765094970432
p-value	0.000248346898549849
Lambda	5.24588798201156

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 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

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