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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

Tue, 06 Dec 2011 05:26:02 -0500

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/2011/Dec/06/t1323167203ln6f7dovm9wpzis.htm/, Retrieved Sun, 28 Apr 2024 19:59:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151430, Retrieved Sun, 28 Apr 2024 19:59:30 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

144

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   [(Partial) Autocorrelation Function] [Unemployment] [2010-11-29 09:05:21] [b98453cac15ba1066b407e146608df68]
- R P     [(Partial) Autocorrelation Function] [ws9] [2011-12-04 18:35:07] [8501ca4b76170905b8a207a77f626994]
-    D      [(Partial) Autocorrelation Function] [Workshop 9_Graph1] [2011-12-06 09:05:34] [f722e8e78b9e5c5ebaa2263f273aa636]
- R P         [(Partial) Autocorrelation Function] [Workshop 9_Graph1] [2011-12-06 09:13:56] [f722e8e78b9e5c5ebaa2263f273aa636]
- RMP             [Standard Deviation-Mean Plot] [Workshop 9_Graph4] [2011-12-06 10:26:02] [3e64eea457df40fcb7af8f28e1ee6256] [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	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151430&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151430&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	402790.083333333	24181.2277057237	63577
2	429495.916666667	28143.4330930885	70455
3	472906.5	32238.4927363097	85019
4	549738.416666667	39100.7787935886	88245
5	588676.333333333	23069.8369278759	68258
6	596872.25	27645.6610211341	75607
7	588251.25	23738.7435185797	76273
8	570045.916666667	21684.3757679803	70286
9	541047.333333333	24045.4333117853	78943
10	507632.25	23148.0035586225	76426
11	474426.75	24540.0696121299	81416
12	469739.5	28068.0807404879	81599
13	491480.833333333	28234.0649822912	70468
14	538140.5	30455.563407275	78857
15	576612.083333333	29164.6853090213	75951
16	596397.416666667	21872.3045735026	61428
17	588261.166666667	22629.6202869896	68535
18	532458.833333333	21778.0729752463	65929
19	504865	19560.1607308882	64233
20	554528.833333333	25444.425114831	72997
21	567191.666666667	22153.7102303361	67344

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 402790.083333333 & 24181.2277057237 & 63577 \tabularnewline
2 & 429495.916666667 & 28143.4330930885 & 70455 \tabularnewline
3 & 472906.5 & 32238.4927363097 & 85019 \tabularnewline
4 & 549738.416666667 & 39100.7787935886 & 88245 \tabularnewline
5 & 588676.333333333 & 23069.8369278759 & 68258 \tabularnewline
6 & 596872.25 & 27645.6610211341 & 75607 \tabularnewline
7 & 588251.25 & 23738.7435185797 & 76273 \tabularnewline
8 & 570045.916666667 & 21684.3757679803 & 70286 \tabularnewline
9 & 541047.333333333 & 24045.4333117853 & 78943 \tabularnewline
10 & 507632.25 & 23148.0035586225 & 76426 \tabularnewline
11 & 474426.75 & 24540.0696121299 & 81416 \tabularnewline
12 & 469739.5 & 28068.0807404879 & 81599 \tabularnewline
13 & 491480.833333333 & 28234.0649822912 & 70468 \tabularnewline
14 & 538140.5 & 30455.563407275 & 78857 \tabularnewline
15 & 576612.083333333 & 29164.6853090213 & 75951 \tabularnewline
16 & 596397.416666667 & 21872.3045735026 & 61428 \tabularnewline
17 & 588261.166666667 & 22629.6202869896 & 68535 \tabularnewline
18 & 532458.833333333 & 21778.0729752463 & 65929 \tabularnewline
19 & 504865 & 19560.1607308882 & 64233 \tabularnewline
20 & 554528.833333333 & 25444.425114831 & 72997 \tabularnewline
21 & 567191.666666667 & 22153.7102303361 & 67344 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151430&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]402790.083333333[/C][C]24181.2277057237[/C][C]63577[/C][/ROW]
[ROW][C]2[/C][C]429495.916666667[/C][C]28143.4330930885[/C][C]70455[/C][/ROW]
[ROW][C]3[/C][C]472906.5[/C][C]32238.4927363097[/C][C]85019[/C][/ROW]
[ROW][C]4[/C][C]549738.416666667[/C][C]39100.7787935886[/C][C]88245[/C][/ROW]
[ROW][C]5[/C][C]588676.333333333[/C][C]23069.8369278759[/C][C]68258[/C][/ROW]
[ROW][C]6[/C][C]596872.25[/C][C]27645.6610211341[/C][C]75607[/C][/ROW]
[ROW][C]7[/C][C]588251.25[/C][C]23738.7435185797[/C][C]76273[/C][/ROW]
[ROW][C]8[/C][C]570045.916666667[/C][C]21684.3757679803[/C][C]70286[/C][/ROW]
[ROW][C]9[/C][C]541047.333333333[/C][C]24045.4333117853[/C][C]78943[/C][/ROW]
[ROW][C]10[/C][C]507632.25[/C][C]23148.0035586225[/C][C]76426[/C][/ROW]
[ROW][C]11[/C][C]474426.75[/C][C]24540.0696121299[/C][C]81416[/C][/ROW]
[ROW][C]12[/C][C]469739.5[/C][C]28068.0807404879[/C][C]81599[/C][/ROW]
[ROW][C]13[/C][C]491480.833333333[/C][C]28234.0649822912[/C][C]70468[/C][/ROW]
[ROW][C]14[/C][C]538140.5[/C][C]30455.563407275[/C][C]78857[/C][/ROW]
[ROW][C]15[/C][C]576612.083333333[/C][C]29164.6853090213[/C][C]75951[/C][/ROW]
[ROW][C]16[/C][C]596397.416666667[/C][C]21872.3045735026[/C][C]61428[/C][/ROW]
[ROW][C]17[/C][C]588261.166666667[/C][C]22629.6202869896[/C][C]68535[/C][/ROW]
[ROW][C]18[/C][C]532458.833333333[/C][C]21778.0729752463[/C][C]65929[/C][/ROW]
[ROW][C]19[/C][C]504865[/C][C]19560.1607308882[/C][C]64233[/C][/ROW]
[ROW][C]20[/C][C]554528.833333333[/C][C]25444.425114831[/C][C]72997[/C][/ROW]
[ROW][C]21[/C][C]567191.666666667[/C][C]22153.7102303361[/C][C]67344[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151430&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	402790.083333333	24181.2277057237	63577
2	429495.916666667	28143.4330930885	70455
3	472906.5	32238.4927363097	85019
4	549738.416666667	39100.7787935886	88245
5	588676.333333333	23069.8369278759	68258
6	596872.25	27645.6610211341	75607
7	588251.25	23738.7435185797	76273
8	570045.916666667	21684.3757679803	70286
9	541047.333333333	24045.4333117853	78943
10	507632.25	23148.0035586225	76426
11	474426.75	24540.0696121299	81416
12	469739.5	28068.0807404879	81599
13	491480.833333333	28234.0649822912	70468
14	538140.5	30455.563407275	78857
15	576612.083333333	29164.6853090213	75951
16	596397.416666667	21872.3045735026	61428
17	588261.166666667	22629.6202869896	68535
18	532458.833333333	21778.0729752463	65929
19	504865	19560.1607308882	64233
20	554528.833333333	25444.425114831	72997
21	567191.666666667	22153.7102303361	67344

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	32556.6528252687
beta	-0.0128162465476328
S.D.	0.0180383188369331
T-STAT	-0.710501164963984
p-value	0.486023944604107

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 32556.6528252687 \tabularnewline
beta & -0.0128162465476328 \tabularnewline
S.D. & 0.0180383188369331 \tabularnewline
T-STAT & -0.710501164963984 \tabularnewline
p-value & 0.486023944604107 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151430&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]32556.6528252687[/C][/ROW]
[ROW][C]beta[/C][C]-0.0128162465476328[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0180383188369331[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.710501164963984[/C][/ROW]
[ROW][C]p-value[/C][C]0.486023944604107[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151430&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	32556.6528252687
beta	-0.0128162465476328
S.D.	0.0180383188369331
T-STAT	-0.710501164963984
p-value	0.486023944604107

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	13.4989197280929
beta	-0.254688305899146
S.D.	0.32975598032778
T-STAT	-0.772353864957912
p-value	0.449406191223411
Lambda	1.25468830589915

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.4989197280929 \tabularnewline
beta & -0.254688305899146 \tabularnewline
S.D. & 0.32975598032778 \tabularnewline
T-STAT & -0.772353864957912 \tabularnewline
p-value & 0.449406191223411 \tabularnewline
Lambda & 1.25468830589915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151430&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.4989197280929[/C][/ROW]
[ROW][C]beta[/C][C]-0.254688305899146[/C][/ROW]
[ROW][C]S.D.[/C][C]0.32975598032778[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.772353864957912[/C][/ROW]
[ROW][C]p-value[/C][C]0.449406191223411[/C][/ROW]
[ROW][C]Lambda[/C][C]1.25468830589915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151430&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	13.4989197280929
beta	-0.254688305899146
S.D.	0.32975598032778
T-STAT	-0.772353864957912
p-value	0.449406191223411
Lambda	1.25468830589915

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