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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, 23 Dec 2008 04:14:16 -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/2008/Dec/23/t1230030956f5et22dcwpgjxpf.htm/, Retrieved Sat, 18 May 2024 11:55:05 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36270, Retrieved Sat, 18 May 2024 11:55:05 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

184

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

-     [Multiple Regression] [] [2008-12-13 15:35:00] [20c308ca6cbf385095bf5cad2e97ff7e]
- RMPD    [Standard Deviation-Mean Plot] [] [2008-12-23 11:14:16] [ba8414dd214a21fbd6c7bde748ac585f] [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	6 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 6 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36270&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36270&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36270&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	6 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	34683	11795.320173696	35337
2	27264.8333333333	6861.8078433302	22407
3	27648.75	8516.10025054148	27844
4	25445.9166666667	6118.57194358192	22525
5	27424.1666666667	8192.91718313428	24480
6	25866	6308.00589438821	20894
7	28009.5833333333	6391.89329553577	21682
8	29253.9166666667	7727.8754984599	27336
9	29809.3333333333	9534.14643491615	29876
10	26911.9166666667	6314.13737660229	23731
11	25653	8306.22420510394	25331
12	23293.1666666667	4863.97725086885	15966
13	23712.25	6639.82068658484	22631
14	22142.25	5608.35850437865	19045
15	22916.1666666667	7303.06890452517	25139
16	23493.4166666667	5265.97727195892	18386

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 34683 & 11795.320173696 & 35337 \tabularnewline
2 & 27264.8333333333 & 6861.8078433302 & 22407 \tabularnewline
3 & 27648.75 & 8516.10025054148 & 27844 \tabularnewline
4 & 25445.9166666667 & 6118.57194358192 & 22525 \tabularnewline
5 & 27424.1666666667 & 8192.91718313428 & 24480 \tabularnewline
6 & 25866 & 6308.00589438821 & 20894 \tabularnewline
7 & 28009.5833333333 & 6391.89329553577 & 21682 \tabularnewline
8 & 29253.9166666667 & 7727.8754984599 & 27336 \tabularnewline
9 & 29809.3333333333 & 9534.14643491615 & 29876 \tabularnewline
10 & 26911.9166666667 & 6314.13737660229 & 23731 \tabularnewline
11 & 25653 & 8306.22420510394 & 25331 \tabularnewline
12 & 23293.1666666667 & 4863.97725086885 & 15966 \tabularnewline
13 & 23712.25 & 6639.82068658484 & 22631 \tabularnewline
14 & 22142.25 & 5608.35850437865 & 19045 \tabularnewline
15 & 22916.1666666667 & 7303.06890452517 & 25139 \tabularnewline
16 & 23493.4166666667 & 5265.97727195892 & 18386 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36270&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]34683[/C][C]11795.320173696[/C][C]35337[/C][/ROW]
[ROW][C]2[/C][C]27264.8333333333[/C][C]6861.8078433302[/C][C]22407[/C][/ROW]
[ROW][C]3[/C][C]27648.75[/C][C]8516.10025054148[/C][C]27844[/C][/ROW]
[ROW][C]4[/C][C]25445.9166666667[/C][C]6118.57194358192[/C][C]22525[/C][/ROW]
[ROW][C]5[/C][C]27424.1666666667[/C][C]8192.91718313428[/C][C]24480[/C][/ROW]
[ROW][C]6[/C][C]25866[/C][C]6308.00589438821[/C][C]20894[/C][/ROW]
[ROW][C]7[/C][C]28009.5833333333[/C][C]6391.89329553577[/C][C]21682[/C][/ROW]
[ROW][C]8[/C][C]29253.9166666667[/C][C]7727.8754984599[/C][C]27336[/C][/ROW]
[ROW][C]9[/C][C]29809.3333333333[/C][C]9534.14643491615[/C][C]29876[/C][/ROW]
[ROW][C]10[/C][C]26911.9166666667[/C][C]6314.13737660229[/C][C]23731[/C][/ROW]
[ROW][C]11[/C][C]25653[/C][C]8306.22420510394[/C][C]25331[/C][/ROW]
[ROW][C]12[/C][C]23293.1666666667[/C][C]4863.97725086885[/C][C]15966[/C][/ROW]
[ROW][C]13[/C][C]23712.25[/C][C]6639.82068658484[/C][C]22631[/C][/ROW]
[ROW][C]14[/C][C]22142.25[/C][C]5608.35850437865[/C][C]19045[/C][/ROW]
[ROW][C]15[/C][C]22916.1666666667[/C][C]7303.06890452517[/C][C]25139[/C][/ROW]
[ROW][C]16[/C][C]23493.4166666667[/C][C]5265.97727195892[/C][C]18386[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36270&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36270&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	34683	11795.320173696	35337
2	27264.8333333333	6861.8078433302	22407
3	27648.75	8516.10025054148	27844
4	25445.9166666667	6118.57194358192	22525
5	27424.1666666667	8192.91718313428	24480
6	25866	6308.00589438821	20894
7	28009.5833333333	6391.89329553577	21682
8	29253.9166666667	7727.8754984599	27336
9	29809.3333333333	9534.14643491615	29876
10	26911.9166666667	6314.13737660229	23731
11	25653	8306.22420510394	25331
12	23293.1666666667	4863.97725086885	15966
13	23712.25	6639.82068658484	22631
14	22142.25	5608.35850437865	19045
15	22916.1666666667	7303.06890452517	25139
16	23493.4166666667	5265.97727195892	18386

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-4896.10212921615
beta	0.45826011394391
S.D.	0.0824462462190028
T-STAT	5.55828961244189
p-value	7.05024747273725e-05

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -4896.10212921615 \tabularnewline
beta & 0.45826011394391 \tabularnewline
S.D. & 0.0824462462190028 \tabularnewline
T-STAT & 5.55828961244189 \tabularnewline
p-value & 7.05024747273725e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36270&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4896.10212921615[/C][/ROW]
[ROW][C]beta[/C][C]0.45826011394391[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0824462462190028[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.55828961244189[/C][/ROW]
[ROW][C]p-value[/C][C]7.05024747273725e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36270&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36270&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	-4896.10212921615
beta	0.45826011394391
S.D.	0.0824462462190028
T-STAT	5.55828961244189
p-value	7.05024747273725e-05

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-7.08890276543358
beta	1.56722066856190
S.D.	0.318529633066098
T-STAT	4.92017227243871
p-value	0.000225642078423769
Lambda	-0.567220668561895

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.08890276543358 \tabularnewline
beta & 1.56722066856190 \tabularnewline
S.D. & 0.318529633066098 \tabularnewline
T-STAT & 4.92017227243871 \tabularnewline
p-value & 0.000225642078423769 \tabularnewline
Lambda & -0.567220668561895 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36270&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.08890276543358[/C][/ROW]
[ROW][C]beta[/C][C]1.56722066856190[/C][/ROW]
[ROW][C]S.D.[/C][C]0.318529633066098[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.92017227243871[/C][/ROW]
[ROW][C]p-value[/C][C]0.000225642078423769[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.567220668561895[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36270&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36270&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	-7.08890276543358
beta	1.56722066856190
S.D.	0.318529633066098
T-STAT	4.92017227243871
p-value	0.000225642078423769
Lambda	-0.567220668561895

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