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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, 22 Dec 2009 14:27:54 -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/22/t1261517368d39hg6ot78ge599.htm/, Retrieved Sat, 04 May 2024 10:32:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70488, Retrieved Sat, 04 May 2024 10:32:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

109

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

-       [Standard Deviation-Mean Plot] [Standard Deviatio...] [2009-12-22 21:27:54] [4223c028d657302779e6d755411cae22] [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=70488&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=70488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70488&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	47956.25	14213.4615388605	30214
2	43143.5	6073.79883872798	14101
3	30940	13741.2981191735	31059
4	49564.75	14169.7523943316	30996
5	39805.25	7041.85465035076	17039
6	31722.5	13377.2438740821	28804
7	47808.25	16106.7114660318	36861
8	38139.75	5062.22568804144	12208
9	29992.75	14948.2302046095	34792
10	48890.75	14675.7216148531	32474
11	39741.5	6559.0061493085	15003
12	31206.5	12514.7722179298	26744
13	50121.25	13791.5299217793	30587
14	43229.75	6049.47939220117	13672
15	32249	15738.6372345257	33117
16	51922.75	11428.5791293873	26428
17	43149.5	4433.91508714364	8797
18	29880.5	16179.8270386305	34575
19	38751.5	11862.2682063760	26442
20	31713.25	3371.40834815363	7872

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 47956.25 & 14213.4615388605 & 30214 \tabularnewline
2 & 43143.5 & 6073.79883872798 & 14101 \tabularnewline
3 & 30940 & 13741.2981191735 & 31059 \tabularnewline
4 & 49564.75 & 14169.7523943316 & 30996 \tabularnewline
5 & 39805.25 & 7041.85465035076 & 17039 \tabularnewline
6 & 31722.5 & 13377.2438740821 & 28804 \tabularnewline
7 & 47808.25 & 16106.7114660318 & 36861 \tabularnewline
8 & 38139.75 & 5062.22568804144 & 12208 \tabularnewline
9 & 29992.75 & 14948.2302046095 & 34792 \tabularnewline
10 & 48890.75 & 14675.7216148531 & 32474 \tabularnewline
11 & 39741.5 & 6559.0061493085 & 15003 \tabularnewline
12 & 31206.5 & 12514.7722179298 & 26744 \tabularnewline
13 & 50121.25 & 13791.5299217793 & 30587 \tabularnewline
14 & 43229.75 & 6049.47939220117 & 13672 \tabularnewline
15 & 32249 & 15738.6372345257 & 33117 \tabularnewline
16 & 51922.75 & 11428.5791293873 & 26428 \tabularnewline
17 & 43149.5 & 4433.91508714364 & 8797 \tabularnewline
18 & 29880.5 & 16179.8270386305 & 34575 \tabularnewline
19 & 38751.5 & 11862.2682063760 & 26442 \tabularnewline
20 & 31713.25 & 3371.40834815363 & 7872 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70488&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]47956.25[/C][C]14213.4615388605[/C][C]30214[/C][/ROW]
[ROW][C]2[/C][C]43143.5[/C][C]6073.79883872798[/C][C]14101[/C][/ROW]
[ROW][C]3[/C][C]30940[/C][C]13741.2981191735[/C][C]31059[/C][/ROW]
[ROW][C]4[/C][C]49564.75[/C][C]14169.7523943316[/C][C]30996[/C][/ROW]
[ROW][C]5[/C][C]39805.25[/C][C]7041.85465035076[/C][C]17039[/C][/ROW]
[ROW][C]6[/C][C]31722.5[/C][C]13377.2438740821[/C][C]28804[/C][/ROW]
[ROW][C]7[/C][C]47808.25[/C][C]16106.7114660318[/C][C]36861[/C][/ROW]
[ROW][C]8[/C][C]38139.75[/C][C]5062.22568804144[/C][C]12208[/C][/ROW]
[ROW][C]9[/C][C]29992.75[/C][C]14948.2302046095[/C][C]34792[/C][/ROW]
[ROW][C]10[/C][C]48890.75[/C][C]14675.7216148531[/C][C]32474[/C][/ROW]
[ROW][C]11[/C][C]39741.5[/C][C]6559.0061493085[/C][C]15003[/C][/ROW]
[ROW][C]12[/C][C]31206.5[/C][C]12514.7722179298[/C][C]26744[/C][/ROW]
[ROW][C]13[/C][C]50121.25[/C][C]13791.5299217793[/C][C]30587[/C][/ROW]
[ROW][C]14[/C][C]43229.75[/C][C]6049.47939220117[/C][C]13672[/C][/ROW]
[ROW][C]15[/C][C]32249[/C][C]15738.6372345257[/C][C]33117[/C][/ROW]
[ROW][C]16[/C][C]51922.75[/C][C]11428.5791293873[/C][C]26428[/C][/ROW]
[ROW][C]17[/C][C]43149.5[/C][C]4433.91508714364[/C][C]8797[/C][/ROW]
[ROW][C]18[/C][C]29880.5[/C][C]16179.8270386305[/C][C]34575[/C][/ROW]
[ROW][C]19[/C][C]38751.5[/C][C]11862.2682063760[/C][C]26442[/C][/ROW]
[ROW][C]20[/C][C]31713.25[/C][C]3371.40834815363[/C][C]7872[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70488&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	47956.25	14213.4615388605	30214
2	43143.5	6073.79883872798	14101
3	30940	13741.2981191735	31059
4	49564.75	14169.7523943316	30996
5	39805.25	7041.85465035076	17039
6	31722.5	13377.2438740821	28804
7	47808.25	16106.7114660318	36861
8	38139.75	5062.22568804144	12208
9	29992.75	14948.2302046095	34792
10	48890.75	14675.7216148531	32474
11	39741.5	6559.0061493085	15003
12	31206.5	12514.7722179298	26744
13	50121.25	13791.5299217793	30587
14	43229.75	6049.47939220117	13672
15	32249	15738.6372345257	33117
16	51922.75	11428.5791293873	26428
17	43149.5	4433.91508714364	8797
18	29880.5	16179.8270386305	34575
19	38751.5	11862.2682063760	26442
20	31713.25	3371.40834815363	7872

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	11128.1329116015
beta	-0.00152880660074991
S.D.	0.134573977395711
T-STAT	-0.0113603434358969
p-value	0.991060918733263

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 11128.1329116015 \tabularnewline
beta & -0.00152880660074991 \tabularnewline
S.D. & 0.134573977395711 \tabularnewline
T-STAT & -0.0113603434358969 \tabularnewline
p-value & 0.991060918733263 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70488&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11128.1329116015[/C][/ROW]
[ROW][C]beta[/C][C]-0.00152880660074991[/C][/ROW]
[ROW][C]S.D.[/C][C]0.134573977395711[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0113603434358969[/C][/ROW]
[ROW][C]p-value[/C][C]0.991060918733263[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70488&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70488&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	11128.1329116015
beta	-0.00152880660074991
S.D.	0.134573977395711
T-STAT	-0.0113603434358969
p-value	0.991060918733263

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	9.28584901609012
beta	-0.00713328231750537
S.D.	0.597429506209185
T-STAT	-0.0119399565025965
p-value	0.990604862562419
Lambda	1.00713328231751

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.28584901609012 \tabularnewline
beta & -0.00713328231750537 \tabularnewline
S.D. & 0.597429506209185 \tabularnewline
T-STAT & -0.0119399565025965 \tabularnewline
p-value & 0.990604862562419 \tabularnewline
Lambda & 1.00713328231751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70488&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.28584901609012[/C][/ROW]
[ROW][C]beta[/C][C]-0.00713328231750537[/C][/ROW]
[ROW][C]S.D.[/C][C]0.597429506209185[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0119399565025965[/C][/ROW]
[ROW][C]p-value[/C][C]0.990604862562419[/C][/ROW]
[ROW][C]Lambda[/C][C]1.00713328231751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70488&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70488&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	9.28584901609012
beta	-0.00713328231750537
S.D.	0.597429506209185
T-STAT	-0.0119399565025965
p-value	0.990604862562419
Lambda	1.00713328231751

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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