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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, 14 Dec 2010 14:52:07 +0000

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/2010/Dec/14/t12923381899krqp0ozfo0atos.htm/, Retrieved Fri, 03 May 2024 00:09:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109706, Retrieved Fri, 03 May 2024 00:09:19 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

134

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] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD      [Standard Deviation-Mean Plot] [] [2010-12-14 14:52:07] [c474a97a96075919a678ad3d2290b00b] [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	'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109706&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109706&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109706&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1154.69416666667	43.0182839475016	119.190000000000
2	1283.73166666667	84.975832803251	285.27
3	1452.64083333333	54.1665360394695	161.17
4	1424.8825	66.5737006666637	238.21
5	1742.225	71.6933849490631	245.51
6	2293.88583333333	162.969372942968	536.25
7	3108.02583333333	309.478714393864	1060.28
8	3215.9475	139.723148087078	484.81
9	2966.87	120.446120810020	375.32
10	2804.745	137.976017646019	391.13
11	2410.98666666667	349.621389254494	871.21
12	1972.34416666667	169.520817249860	561.47
13	2554.44666666667	190.570772791696	571
14	3191.3225	147.471609663753	512.32
15	3902.32333333333	218.664223632879	720.77
16	4411.00833333333	198.014401580626	591.78
17	3126.66583333333	740.976529237641	1994.79
18	2135.2325	298.12292754759	843.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1154.69416666667 & 43.0182839475016 & 119.190000000000 \tabularnewline
2 & 1283.73166666667 & 84.975832803251 & 285.27 \tabularnewline
3 & 1452.64083333333 & 54.1665360394695 & 161.17 \tabularnewline
4 & 1424.8825 & 66.5737006666637 & 238.21 \tabularnewline
5 & 1742.225 & 71.6933849490631 & 245.51 \tabularnewline
6 & 2293.88583333333 & 162.969372942968 & 536.25 \tabularnewline
7 & 3108.02583333333 & 309.478714393864 & 1060.28 \tabularnewline
8 & 3215.9475 & 139.723148087078 & 484.81 \tabularnewline
9 & 2966.87 & 120.446120810020 & 375.32 \tabularnewline
10 & 2804.745 & 137.976017646019 & 391.13 \tabularnewline
11 & 2410.98666666667 & 349.621389254494 & 871.21 \tabularnewline
12 & 1972.34416666667 & 169.520817249860 & 561.47 \tabularnewline
13 & 2554.44666666667 & 190.570772791696 & 571 \tabularnewline
14 & 3191.3225 & 147.471609663753 & 512.32 \tabularnewline
15 & 3902.32333333333 & 218.664223632879 & 720.77 \tabularnewline
16 & 4411.00833333333 & 198.014401580626 & 591.78 \tabularnewline
17 & 3126.66583333333 & 740.976529237641 & 1994.79 \tabularnewline
18 & 2135.2325 & 298.12292754759 & 843.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109706&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]1154.69416666667[/C][C]43.0182839475016[/C][C]119.190000000000[/C][/ROW]
[ROW][C]2[/C][C]1283.73166666667[/C][C]84.975832803251[/C][C]285.27[/C][/ROW]
[ROW][C]3[/C][C]1452.64083333333[/C][C]54.1665360394695[/C][C]161.17[/C][/ROW]
[ROW][C]4[/C][C]1424.8825[/C][C]66.5737006666637[/C][C]238.21[/C][/ROW]
[ROW][C]5[/C][C]1742.225[/C][C]71.6933849490631[/C][C]245.51[/C][/ROW]
[ROW][C]6[/C][C]2293.88583333333[/C][C]162.969372942968[/C][C]536.25[/C][/ROW]
[ROW][C]7[/C][C]3108.02583333333[/C][C]309.478714393864[/C][C]1060.28[/C][/ROW]
[ROW][C]8[/C][C]3215.9475[/C][C]139.723148087078[/C][C]484.81[/C][/ROW]
[ROW][C]9[/C][C]2966.87[/C][C]120.446120810020[/C][C]375.32[/C][/ROW]
[ROW][C]10[/C][C]2804.745[/C][C]137.976017646019[/C][C]391.13[/C][/ROW]
[ROW][C]11[/C][C]2410.98666666667[/C][C]349.621389254494[/C][C]871.21[/C][/ROW]
[ROW][C]12[/C][C]1972.34416666667[/C][C]169.520817249860[/C][C]561.47[/C][/ROW]
[ROW][C]13[/C][C]2554.44666666667[/C][C]190.570772791696[/C][C]571[/C][/ROW]
[ROW][C]14[/C][C]3191.3225[/C][C]147.471609663753[/C][C]512.32[/C][/ROW]
[ROW][C]15[/C][C]3902.32333333333[/C][C]218.664223632879[/C][C]720.77[/C][/ROW]
[ROW][C]16[/C][C]4411.00833333333[/C][C]198.014401580626[/C][C]591.78[/C][/ROW]
[ROW][C]17[/C][C]3126.66583333333[/C][C]740.976529237641[/C][C]1994.79[/C][/ROW]
[ROW][C]18[/C][C]2135.2325[/C][C]298.12292754759[/C][C]843.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109706&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109706&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	1154.69416666667	43.0182839475016	119.190000000000
2	1283.73166666667	84.975832803251	285.27
3	1452.64083333333	54.1665360394695	161.17
4	1424.8825	66.5737006666637	238.21
5	1742.225	71.6933849490631	245.51
6	2293.88583333333	162.969372942968	536.25
7	3108.02583333333	309.478714393864	1060.28
8	3215.9475	139.723148087078	484.81
9	2966.87	120.446120810020	375.32
10	2804.745	137.976017646019	391.13
11	2410.98666666667	349.621389254494	871.21
12	1972.34416666667	169.520817249860	561.47
13	2554.44666666667	190.570772791696	571
14	3191.3225	147.471609663753	512.32
15	3902.32333333333	218.664223632879	720.77
16	4411.00833333333	198.014401580626	591.78
17	3126.66583333333	740.976529237641	1994.79
18	2135.2325	298.12292754759	843.1

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	16.6982570451892
beta	0.0709473931082687
S.D.	0.0406501158142935
T-STAT	1.74531835117975
p-value	0.100100908319119

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 16.6982570451892 \tabularnewline
beta & 0.0709473931082687 \tabularnewline
S.D. & 0.0406501158142935 \tabularnewline
T-STAT & 1.74531835117975 \tabularnewline
p-value & 0.100100908319119 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109706&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.6982570451892[/C][/ROW]
[ROW][C]beta[/C][C]0.0709473931082687[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0406501158142935[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.74531835117975[/C][/ROW]
[ROW][C]p-value[/C][C]0.100100908319119[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109706&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109706&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	16.6982570451892
beta	0.0709473931082687
S.D.	0.0406501158142935
T-STAT	1.74531835117975
p-value	0.100100908319119

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.69832689851635
beta	1.25251974285684
S.D.	0.337280598714254
T-STAT	3.71358372711494
p-value	0.00188744066903829
Lambda	-0.252519742856839

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.69832689851635 \tabularnewline
beta & 1.25251974285684 \tabularnewline
S.D. & 0.337280598714254 \tabularnewline
T-STAT & 3.71358372711494 \tabularnewline
p-value & 0.00188744066903829 \tabularnewline
Lambda & -0.252519742856839 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109706&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.69832689851635[/C][/ROW]
[ROW][C]beta[/C][C]1.25251974285684[/C][/ROW]
[ROW][C]S.D.[/C][C]0.337280598714254[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.71358372711494[/C][/ROW]
[ROW][C]p-value[/C][C]0.00188744066903829[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.252519742856839[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109706&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109706&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	-4.69832689851635
beta	1.25251974285684
S.D.	0.337280598714254
T-STAT	3.71358372711494
p-value	0.00188744066903829
Lambda	-0.252519742856839

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