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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

Wed, 26 May 2010 14:17:57 +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/May/26/t1274883555981nha5l97phj1p.htm/, Retrieved Fri, 03 May 2024 14:01:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76495, Retrieved Fri, 03 May 2024 14:01:56 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2010-05-26 14:17:57] [4b0ce05bd143e68bee12076814fe6457] [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=76495&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=76495&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76495&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	8033.925	33.5623176593436	70.7000000000007
2	8015.125	50.8155734002875	118.800000000000
3	8287.075	111.453110469530	259.400000000000
4	8523.45	89.7909609407685	211.299999999999
5	8870.675	114.926944186296	275.300000000001
6	9093.75	73.0682557613084	159
7	9433.925	145.778470632669	345.299999999999
8	9854.35	149.919322748381	342.699999999999
9	10283.525	175.751289706032	404.200000000001
10	10779.85	180.438216572875	413.099999999999
11	11225.975	126.587397345339	291.5
12	11347.175	37.4772264181859	82.8999999999996
13	11552.975	57.2213465413039	120.900000000000
14	11840.7	180.943324460082	397
15	12263.8	121.228132048629	282.699999999999
16	12638.375	95.9903250333077	214.600000000000
17	12976.25	60.7456719994661	144.800000000001
18	13254.05	128.547073089978	291.300000000001
19	13312.175	119.411818929283	273.400000000000
20	12988.725	114.764842903507	253.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8033.925 & 33.5623176593436 & 70.7000000000007 \tabularnewline
2 & 8015.125 & 50.8155734002875 & 118.800000000000 \tabularnewline
3 & 8287.075 & 111.453110469530 & 259.400000000000 \tabularnewline
4 & 8523.45 & 89.7909609407685 & 211.299999999999 \tabularnewline
5 & 8870.675 & 114.926944186296 & 275.300000000001 \tabularnewline
6 & 9093.75 & 73.0682557613084 & 159 \tabularnewline
7 & 9433.925 & 145.778470632669 & 345.299999999999 \tabularnewline
8 & 9854.35 & 149.919322748381 & 342.699999999999 \tabularnewline
9 & 10283.525 & 175.751289706032 & 404.200000000001 \tabularnewline
10 & 10779.85 & 180.438216572875 & 413.099999999999 \tabularnewline
11 & 11225.975 & 126.587397345339 & 291.5 \tabularnewline
12 & 11347.175 & 37.4772264181859 & 82.8999999999996 \tabularnewline
13 & 11552.975 & 57.2213465413039 & 120.900000000000 \tabularnewline
14 & 11840.7 & 180.943324460082 & 397 \tabularnewline
15 & 12263.8 & 121.228132048629 & 282.699999999999 \tabularnewline
16 & 12638.375 & 95.9903250333077 & 214.600000000000 \tabularnewline
17 & 12976.25 & 60.7456719994661 & 144.800000000001 \tabularnewline
18 & 13254.05 & 128.547073089978 & 291.300000000001 \tabularnewline
19 & 13312.175 & 119.411818929283 & 273.400000000000 \tabularnewline
20 & 12988.725 & 114.764842903507 & 253.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76495&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]8033.925[/C][C]33.5623176593436[/C][C]70.7000000000007[/C][/ROW]
[ROW][C]2[/C][C]8015.125[/C][C]50.8155734002875[/C][C]118.800000000000[/C][/ROW]
[ROW][C]3[/C][C]8287.075[/C][C]111.453110469530[/C][C]259.400000000000[/C][/ROW]
[ROW][C]4[/C][C]8523.45[/C][C]89.7909609407685[/C][C]211.299999999999[/C][/ROW]
[ROW][C]5[/C][C]8870.675[/C][C]114.926944186296[/C][C]275.300000000001[/C][/ROW]
[ROW][C]6[/C][C]9093.75[/C][C]73.0682557613084[/C][C]159[/C][/ROW]
[ROW][C]7[/C][C]9433.925[/C][C]145.778470632669[/C][C]345.299999999999[/C][/ROW]
[ROW][C]8[/C][C]9854.35[/C][C]149.919322748381[/C][C]342.699999999999[/C][/ROW]
[ROW][C]9[/C][C]10283.525[/C][C]175.751289706032[/C][C]404.200000000001[/C][/ROW]
[ROW][C]10[/C][C]10779.85[/C][C]180.438216572875[/C][C]413.099999999999[/C][/ROW]
[ROW][C]11[/C][C]11225.975[/C][C]126.587397345339[/C][C]291.5[/C][/ROW]
[ROW][C]12[/C][C]11347.175[/C][C]37.4772264181859[/C][C]82.8999999999996[/C][/ROW]
[ROW][C]13[/C][C]11552.975[/C][C]57.2213465413039[/C][C]120.900000000000[/C][/ROW]
[ROW][C]14[/C][C]11840.7[/C][C]180.943324460082[/C][C]397[/C][/ROW]
[ROW][C]15[/C][C]12263.8[/C][C]121.228132048629[/C][C]282.699999999999[/C][/ROW]
[ROW][C]16[/C][C]12638.375[/C][C]95.9903250333077[/C][C]214.600000000000[/C][/ROW]
[ROW][C]17[/C][C]12976.25[/C][C]60.7456719994661[/C][C]144.800000000001[/C][/ROW]
[ROW][C]18[/C][C]13254.05[/C][C]128.547073089978[/C][C]291.300000000001[/C][/ROW]
[ROW][C]19[/C][C]13312.175[/C][C]119.411818929283[/C][C]273.400000000000[/C][/ROW]
[ROW][C]20[/C][C]12988.725[/C][C]114.764842903507[/C][C]253.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76495&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76495&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	8033.925	33.5623176593436	70.7000000000007
2	8015.125	50.8155734002875	118.800000000000
3	8287.075	111.453110469530	259.400000000000
4	8523.45	89.7909609407685	211.299999999999
5	8870.675	114.926944186296	275.300000000001
6	9093.75	73.0682557613084	159
7	9433.925	145.778470632669	345.299999999999
8	9854.35	149.919322748381	342.699999999999
9	10283.525	175.751289706032	404.200000000001
10	10779.85	180.438216572875	413.099999999999
11	11225.975	126.587397345339	291.5
12	11347.175	37.4772264181859	82.8999999999996
13	11552.975	57.2213465413039	120.900000000000
14	11840.7	180.943324460082	397
15	12263.8	121.228132048629	282.699999999999
16	12638.375	95.9903250333077	214.600000000000
17	12976.25	60.7456719994661	144.800000000001
18	13254.05	128.547073089978	291.300000000001
19	13312.175	119.411818929283	273.400000000000
20	12988.725	114.764842903507	253.5

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	57.6176097439919
beta	0.00473524595599522
S.D.	0.00568117615706711
T-STAT	0.833497470432209
p-value	0.415488105115008

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 57.6176097439919 \tabularnewline
beta & 0.00473524595599522 \tabularnewline
S.D. & 0.00568117615706711 \tabularnewline
T-STAT & 0.833497470432209 \tabularnewline
p-value & 0.415488105115008 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76495&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]57.6176097439919[/C][/ROW]
[ROW][C]beta[/C][C]0.00473524595599522[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00568117615706711[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.833497470432209[/C][/ROW]
[ROW][C]p-value[/C][C]0.415488105115008[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76495&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76495&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	57.6176097439919
beta	0.00473524595599522
S.D.	0.00568117615706711
T-STAT	0.833497470432209
p-value	0.415488105115008

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.17235873784114
beta	0.728761354514903
S.D.	0.645404090679785
T-STAT	1.12915515262279
p-value	0.273656665026277
Lambda	0.271238645485097

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.17235873784114 \tabularnewline
beta & 0.728761354514903 \tabularnewline
S.D. & 0.645404090679785 \tabularnewline
T-STAT & 1.12915515262279 \tabularnewline
p-value & 0.273656665026277 \tabularnewline
Lambda & 0.271238645485097 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76495&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.17235873784114[/C][/ROW]
[ROW][C]beta[/C][C]0.728761354514903[/C][/ROW]
[ROW][C]S.D.[/C][C]0.645404090679785[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.12915515262279[/C][/ROW]
[ROW][C]p-value[/C][C]0.273656665026277[/C][/ROW]
[ROW][C]Lambda[/C][C]0.271238645485097[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76495&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76495&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	-2.17235873784114
beta	0.728761354514903
S.D.	0.645404090679785
T-STAT	1.12915515262279
p-value	0.273656665026277
Lambda	0.271238645485097

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code