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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

Mon, 09 May 2011 13:28:33 +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/2011/May/09/t1304947578bos0wvblzmf2vmq.htm/, Retrieved Tue, 14 May 2024 07:21:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121265, Retrieved Tue, 14 May 2024 07:21:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W82

Estimated Impact

100

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

-       [Standard Deviation-Mean Plot] [opgave 8 oefening...] [2011-05-09 13:28:33] [58d8a931f127f4dbe815c0a9b73ee0dc] [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	2 seconds
R Server	'George Udny Yule' @ 216.218.223.82

\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 & 'George Udny Yule' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121265&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]'George Udny Yule' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121265&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121265&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	'George Udny Yule' @ 216.218.223.82

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	10518	105.157025442906	239
2	11213	344.022286099801	749
3	12845.25	778.735460003374	1848
4	15091.5	633.042652591435	1461
5	16030.25	785.086141770443	1896
6	15261	295.144032634915	694
7	16006.5	332.966965328394	769
8	15731.75	145.866091558891	343
9	17227.75	618.823817145613	1307
10	19558.5	736.245203719522	1564
11	18522.25	465.58448928918	1099
12	19243	549.652617568588	1167
13	22294	1221.98554274045	2765
14	21638.75	256.700051941301	545
15	23507.25	1369.04136168342	2925
16	26225.5	1002.05073058537	2321
17	30881.75	1062.77698350438	2276
18	32115.25	1268.58829018717	2788

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10518 & 105.157025442906 & 239 \tabularnewline
2 & 11213 & 344.022286099801 & 749 \tabularnewline
3 & 12845.25 & 778.735460003374 & 1848 \tabularnewline
4 & 15091.5 & 633.042652591435 & 1461 \tabularnewline
5 & 16030.25 & 785.086141770443 & 1896 \tabularnewline
6 & 15261 & 295.144032634915 & 694 \tabularnewline
7 & 16006.5 & 332.966965328394 & 769 \tabularnewline
8 & 15731.75 & 145.866091558891 & 343 \tabularnewline
9 & 17227.75 & 618.823817145613 & 1307 \tabularnewline
10 & 19558.5 & 736.245203719522 & 1564 \tabularnewline
11 & 18522.25 & 465.58448928918 & 1099 \tabularnewline
12 & 19243 & 549.652617568588 & 1167 \tabularnewline
13 & 22294 & 1221.98554274045 & 2765 \tabularnewline
14 & 21638.75 & 256.700051941301 & 545 \tabularnewline
15 & 23507.25 & 1369.04136168342 & 2925 \tabularnewline
16 & 26225.5 & 1002.05073058537 & 2321 \tabularnewline
17 & 30881.75 & 1062.77698350438 & 2276 \tabularnewline
18 & 32115.25 & 1268.58829018717 & 2788 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121265&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]10518[/C][C]105.157025442906[/C][C]239[/C][/ROW]
[ROW][C]2[/C][C]11213[/C][C]344.022286099801[/C][C]749[/C][/ROW]
[ROW][C]3[/C][C]12845.25[/C][C]778.735460003374[/C][C]1848[/C][/ROW]
[ROW][C]4[/C][C]15091.5[/C][C]633.042652591435[/C][C]1461[/C][/ROW]
[ROW][C]5[/C][C]16030.25[/C][C]785.086141770443[/C][C]1896[/C][/ROW]
[ROW][C]6[/C][C]15261[/C][C]295.144032634915[/C][C]694[/C][/ROW]
[ROW][C]7[/C][C]16006.5[/C][C]332.966965328394[/C][C]769[/C][/ROW]
[ROW][C]8[/C][C]15731.75[/C][C]145.866091558891[/C][C]343[/C][/ROW]
[ROW][C]9[/C][C]17227.75[/C][C]618.823817145613[/C][C]1307[/C][/ROW]
[ROW][C]10[/C][C]19558.5[/C][C]736.245203719522[/C][C]1564[/C][/ROW]
[ROW][C]11[/C][C]18522.25[/C][C]465.58448928918[/C][C]1099[/C][/ROW]
[ROW][C]12[/C][C]19243[/C][C]549.652617568588[/C][C]1167[/C][/ROW]
[ROW][C]13[/C][C]22294[/C][C]1221.98554274045[/C][C]2765[/C][/ROW]
[ROW][C]14[/C][C]21638.75[/C][C]256.700051941301[/C][C]545[/C][/ROW]
[ROW][C]15[/C][C]23507.25[/C][C]1369.04136168342[/C][C]2925[/C][/ROW]
[ROW][C]16[/C][C]26225.5[/C][C]1002.05073058537[/C][C]2321[/C][/ROW]
[ROW][C]17[/C][C]30881.75[/C][C]1062.77698350438[/C][C]2276[/C][/ROW]
[ROW][C]18[/C][C]32115.25[/C][C]1268.58829018717[/C][C]2788[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121265&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121265&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	10518	105.157025442906	239
2	11213	344.022286099801	749
3	12845.25	778.735460003374	1848
4	15091.5	633.042652591435	1461
5	16030.25	785.086141770443	1896
6	15261	295.144032634915	694
7	16006.5	332.966965328394	769
8	15731.75	145.866091558891	343
9	17227.75	618.823817145613	1307
10	19558.5	736.245203719522	1564
11	18522.25	465.58448928918	1099
12	19243	549.652617568588	1167
13	22294	1221.98554274045	2765
14	21638.75	256.700051941301	545
15	23507.25	1369.04136168342	2925
16	26225.5	1002.05073058537	2321
17	30881.75	1062.77698350438	2276
18	32115.25	1268.58829018717	2788

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-224.807941445433
beta	0.0465760067163053
S.D.	0.0111003606801798
T-STAT	4.19590030074149
p-value	0.000684336831869554

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -224.807941445433 \tabularnewline
beta & 0.0465760067163053 \tabularnewline
S.D. & 0.0111003606801798 \tabularnewline
T-STAT & 4.19590030074149 \tabularnewline
p-value & 0.000684336831869554 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121265&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-224.807941445433[/C][/ROW]
[ROW][C]beta[/C][C]0.0465760067163053[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0111003606801798[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.19590030074149[/C][/ROW]
[ROW][C]p-value[/C][C]0.000684336831869554[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121265&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121265&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	-224.807941445433
beta	0.0465760067163053
S.D.	0.0111003606801798
T-STAT	4.19590030074149
p-value	0.000684336831869554

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-9.2407704893113
beta	1.58244866471027
S.D.	0.439256550953785
T-STAT	3.60256133067158
p-value	0.0023862656525937
Lambda	-0.582448664710274

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.2407704893113 \tabularnewline
beta & 1.58244866471027 \tabularnewline
S.D. & 0.439256550953785 \tabularnewline
T-STAT & 3.60256133067158 \tabularnewline
p-value & 0.0023862656525937 \tabularnewline
Lambda & -0.582448664710274 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121265&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.2407704893113[/C][/ROW]
[ROW][C]beta[/C][C]1.58244866471027[/C][/ROW]
[ROW][C]S.D.[/C][C]0.439256550953785[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.60256133067158[/C][/ROW]
[ROW][C]p-value[/C][C]0.0023862656525937[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.582448664710274[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121265&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121265&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	-9.2407704893113
beta	1.58244866471027
S.D.	0.439256550953785
T-STAT	3.60256133067158
p-value	0.0023862656525937
Lambda	-0.582448664710274

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