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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, 25 May 2010 17:47:25 +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/25/t1274809728taliwqoz09fd8oj.htm/, Retrieved Thu, 02 May 2024 03:48:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76424, Retrieved Thu, 02 May 2024 03:48:11 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KdGP2W83

Estimated Impact

131

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

-       [Standard Deviation-Mean Plot] [Werkloosheid V   ...] [2010-05-25 17:47:25] [4942f64bbdc4cce21b299a740a533758] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76424&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76424&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	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	45683.25	3609.21620069141	8035
2	45106	9015.27781047262	18286
3	39877	920.581338068505	1956
4	42547.75	3252.03109609979	7143
5	42569.25	8897.2238132652	17708
6	39125.25	2194.4703802968	4785
7	45371.25	4219.53807700954	8914
8	46311	9478.17545733355	18279
9	43543	2628.11136242994	5848
10	52949.5	6174.41654463534	13906
11	53236	10144.3789689989	20099
12	46799.25	2184.65136425319	4780
13	56204.25	5205.46382019252	11586
14	53495.5	10821.1918474815	21050
15	48354.75	2392.67651734761	5581
16	58614	5622.13215782055	12657
17	56023.5	10851.3228840236	21184
18	50953.75	2440.80210518318	5551
19	58401.5	4745.30817404588	10391
20	54555.75	11567.9988582007	22524
21	48158.75	2290.5500613026	5288

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 45683.25 & 3609.21620069141 & 8035 \tabularnewline
2 & 45106 & 9015.27781047262 & 18286 \tabularnewline
3 & 39877 & 920.581338068505 & 1956 \tabularnewline
4 & 42547.75 & 3252.03109609979 & 7143 \tabularnewline
5 & 42569.25 & 8897.2238132652 & 17708 \tabularnewline
6 & 39125.25 & 2194.4703802968 & 4785 \tabularnewline
7 & 45371.25 & 4219.53807700954 & 8914 \tabularnewline
8 & 46311 & 9478.17545733355 & 18279 \tabularnewline
9 & 43543 & 2628.11136242994 & 5848 \tabularnewline
10 & 52949.5 & 6174.41654463534 & 13906 \tabularnewline
11 & 53236 & 10144.3789689989 & 20099 \tabularnewline
12 & 46799.25 & 2184.65136425319 & 4780 \tabularnewline
13 & 56204.25 & 5205.46382019252 & 11586 \tabularnewline
14 & 53495.5 & 10821.1918474815 & 21050 \tabularnewline
15 & 48354.75 & 2392.67651734761 & 5581 \tabularnewline
16 & 58614 & 5622.13215782055 & 12657 \tabularnewline
17 & 56023.5 & 10851.3228840236 & 21184 \tabularnewline
18 & 50953.75 & 2440.80210518318 & 5551 \tabularnewline
19 & 58401.5 & 4745.30817404588 & 10391 \tabularnewline
20 & 54555.75 & 11567.9988582007 & 22524 \tabularnewline
21 & 48158.75 & 2290.5500613026 & 5288 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76424&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]45683.25[/C][C]3609.21620069141[/C][C]8035[/C][/ROW]
[ROW][C]2[/C][C]45106[/C][C]9015.27781047262[/C][C]18286[/C][/ROW]
[ROW][C]3[/C][C]39877[/C][C]920.581338068505[/C][C]1956[/C][/ROW]
[ROW][C]4[/C][C]42547.75[/C][C]3252.03109609979[/C][C]7143[/C][/ROW]
[ROW][C]5[/C][C]42569.25[/C][C]8897.2238132652[/C][C]17708[/C][/ROW]
[ROW][C]6[/C][C]39125.25[/C][C]2194.4703802968[/C][C]4785[/C][/ROW]
[ROW][C]7[/C][C]45371.25[/C][C]4219.53807700954[/C][C]8914[/C][/ROW]
[ROW][C]8[/C][C]46311[/C][C]9478.17545733355[/C][C]18279[/C][/ROW]
[ROW][C]9[/C][C]43543[/C][C]2628.11136242994[/C][C]5848[/C][/ROW]
[ROW][C]10[/C][C]52949.5[/C][C]6174.41654463534[/C][C]13906[/C][/ROW]
[ROW][C]11[/C][C]53236[/C][C]10144.3789689989[/C][C]20099[/C][/ROW]
[ROW][C]12[/C][C]46799.25[/C][C]2184.65136425319[/C][C]4780[/C][/ROW]
[ROW][C]13[/C][C]56204.25[/C][C]5205.46382019252[/C][C]11586[/C][/ROW]
[ROW][C]14[/C][C]53495.5[/C][C]10821.1918474815[/C][C]21050[/C][/ROW]
[ROW][C]15[/C][C]48354.75[/C][C]2392.67651734761[/C][C]5581[/C][/ROW]
[ROW][C]16[/C][C]58614[/C][C]5622.13215782055[/C][C]12657[/C][/ROW]
[ROW][C]17[/C][C]56023.5[/C][C]10851.3228840236[/C][C]21184[/C][/ROW]
[ROW][C]18[/C][C]50953.75[/C][C]2440.80210518318[/C][C]5551[/C][/ROW]
[ROW][C]19[/C][C]58401.5[/C][C]4745.30817404588[/C][C]10391[/C][/ROW]
[ROW][C]20[/C][C]54555.75[/C][C]11567.9988582007[/C][C]22524[/C][/ROW]
[ROW][C]21[/C][C]48158.75[/C][C]2290.5500613026[/C][C]5288[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76424&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	45683.25	3609.21620069141	8035
2	45106	9015.27781047262	18286
3	39877	920.581338068505	1956
4	42547.75	3252.03109609979	7143
5	42569.25	8897.2238132652	17708
6	39125.25	2194.4703802968	4785
7	45371.25	4219.53807700954	8914
8	46311	9478.17545733355	18279
9	43543	2628.11136242994	5848
10	52949.5	6174.41654463534	13906
11	53236	10144.3789689989	20099
12	46799.25	2184.65136425319	4780
13	56204.25	5205.46382019252	11586
14	53495.5	10821.1918474815	21050
15	48354.75	2392.67651734761	5581
16	58614	5622.13215782055	12657
17	56023.5	10851.3228840236	21184
18	50953.75	2440.80210518318	5551
19	58401.5	4745.30817404588	10391
20	54555.75	11567.9988582007	22524
21	48158.75	2290.5500613026	5288

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-6987.55675484387
beta	0.258195651381447
S.D.	0.120809214538154
T-STAT	2.13721819456001
p-value	0.04579851604751

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -6987.55675484387 \tabularnewline
beta & 0.258195651381447 \tabularnewline
S.D. & 0.120809214538154 \tabularnewline
T-STAT & 2.13721819456001 \tabularnewline
p-value & 0.04579851604751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76424&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6987.55675484387[/C][/ROW]
[ROW][C]beta[/C][C]0.258195651381447[/C][/ROW]
[ROW][C]S.D.[/C][C]0.120809214538154[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.13721819456001[/C][/ROW]
[ROW][C]p-value[/C][C]0.04579851604751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76424&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76424&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	-6987.55675484387
beta	0.258195651381447
S.D.	0.120809214538154
T-STAT	2.13721819456001
p-value	0.04579851604751

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-24.1485065288255
beta	3.01850575626938
S.D.	1.12379093559966
T-STAT	2.68600293938009
p-value	0.01462394109024
Lambda	-2.01850575626938

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -24.1485065288255 \tabularnewline
beta & 3.01850575626938 \tabularnewline
S.D. & 1.12379093559966 \tabularnewline
T-STAT & 2.68600293938009 \tabularnewline
p-value & 0.01462394109024 \tabularnewline
Lambda & -2.01850575626938 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76424&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-24.1485065288255[/C][/ROW]
[ROW][C]beta[/C][C]3.01850575626938[/C][/ROW]
[ROW][C]S.D.[/C][C]1.12379093559966[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.68600293938009[/C][/ROW]
[ROW][C]p-value[/C][C]0.01462394109024[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.01850575626938[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76424&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76424&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	-24.1485065288255
beta	3.01850575626938
S.D.	1.12379093559966
T-STAT	2.68600293938009
p-value	0.01462394109024
Lambda	-2.01850575626938

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code