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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

Thu, 04 Aug 2011 06:22:06 -0400

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/Aug/04/t1312453374qdvgzwp201fgm3b.htm/, Retrieved Wed, 15 May 2024 16:40:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123380, Retrieved Wed, 15 May 2024 16:40:08 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

arnaud blij

Estimated Impact

210

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

-       [Standard Deviation-Mean Plot] [Tijdreeks A: Stap 26] [2011-08-04 10:22:06] [50083fea611f0183deb36cab794727ad] [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	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123380&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123380&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123380&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	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	570150.75	17678.8691451122	41405
2	643530.5	131503.772073909	272817
3	504507.5	15171.8763836251	32182
4	389394	54718.6680393447	115194
5	438917.75	155032.173706783	336150
6	373279.75	57505.1449372141	116218
7	373560.75	44447.3780207187	105861
8	389087.75	155289.116436353	336149
9	365515.5	44694.5405801052	104748
10	299900.25	29920.0988787916	72555
11	493880.75	97405.2439634712	178426
12	507661	82807.7143709047	188783
13	499332	100640.29455773	231412
14	696491.5	25027.1957877825	52986
15	714885.75	81665.8550736883	199229
16	741095.25	88301.7280932259	210609
17	1050776.75	45291.427764166	104737
18	1103428.75	96769.4969239619	220955
19	1103147.75	111413.068947274	262460
20	1394943.75	77668.4896483123	178425
21	1479031.5	92937.2214257201	188884
22	1410521	78169.1676430036	178527
23	1620871.25	77365.9205179085	178426
24	1681055.25	118017.447310062	241768
25	1667808.25	66100.4636008705	157723
26	1830937.5	41370.6232045558	84035
27	1914512	155159.001238514	284286
28	1940956.75	78289.8184626626	178426
29	2111901.75	49250.8702621927	94391
30	2145870.75	116261.248592341	241758

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 570150.75 & 17678.8691451122 & 41405 \tabularnewline
2 & 643530.5 & 131503.772073909 & 272817 \tabularnewline
3 & 504507.5 & 15171.8763836251 & 32182 \tabularnewline
4 & 389394 & 54718.6680393447 & 115194 \tabularnewline
5 & 438917.75 & 155032.173706783 & 336150 \tabularnewline
6 & 373279.75 & 57505.1449372141 & 116218 \tabularnewline
7 & 373560.75 & 44447.3780207187 & 105861 \tabularnewline
8 & 389087.75 & 155289.116436353 & 336149 \tabularnewline
9 & 365515.5 & 44694.5405801052 & 104748 \tabularnewline
10 & 299900.25 & 29920.0988787916 & 72555 \tabularnewline
11 & 493880.75 & 97405.2439634712 & 178426 \tabularnewline
12 & 507661 & 82807.7143709047 & 188783 \tabularnewline
13 & 499332 & 100640.29455773 & 231412 \tabularnewline
14 & 696491.5 & 25027.1957877825 & 52986 \tabularnewline
15 & 714885.75 & 81665.8550736883 & 199229 \tabularnewline
16 & 741095.25 & 88301.7280932259 & 210609 \tabularnewline
17 & 1050776.75 & 45291.427764166 & 104737 \tabularnewline
18 & 1103428.75 & 96769.4969239619 & 220955 \tabularnewline
19 & 1103147.75 & 111413.068947274 & 262460 \tabularnewline
20 & 1394943.75 & 77668.4896483123 & 178425 \tabularnewline
21 & 1479031.5 & 92937.2214257201 & 188884 \tabularnewline
22 & 1410521 & 78169.1676430036 & 178527 \tabularnewline
23 & 1620871.25 & 77365.9205179085 & 178426 \tabularnewline
24 & 1681055.25 & 118017.447310062 & 241768 \tabularnewline
25 & 1667808.25 & 66100.4636008705 & 157723 \tabularnewline
26 & 1830937.5 & 41370.6232045558 & 84035 \tabularnewline
27 & 1914512 & 155159.001238514 & 284286 \tabularnewline
28 & 1940956.75 & 78289.8184626626 & 178426 \tabularnewline
29 & 2111901.75 & 49250.8702621927 & 94391 \tabularnewline
30 & 2145870.75 & 116261.248592341 & 241758 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123380&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]570150.75[/C][C]17678.8691451122[/C][C]41405[/C][/ROW]
[ROW][C]2[/C][C]643530.5[/C][C]131503.772073909[/C][C]272817[/C][/ROW]
[ROW][C]3[/C][C]504507.5[/C][C]15171.8763836251[/C][C]32182[/C][/ROW]
[ROW][C]4[/C][C]389394[/C][C]54718.6680393447[/C][C]115194[/C][/ROW]
[ROW][C]5[/C][C]438917.75[/C][C]155032.173706783[/C][C]336150[/C][/ROW]
[ROW][C]6[/C][C]373279.75[/C][C]57505.1449372141[/C][C]116218[/C][/ROW]
[ROW][C]7[/C][C]373560.75[/C][C]44447.3780207187[/C][C]105861[/C][/ROW]
[ROW][C]8[/C][C]389087.75[/C][C]155289.116436353[/C][C]336149[/C][/ROW]
[ROW][C]9[/C][C]365515.5[/C][C]44694.5405801052[/C][C]104748[/C][/ROW]
[ROW][C]10[/C][C]299900.25[/C][C]29920.0988787916[/C][C]72555[/C][/ROW]
[ROW][C]11[/C][C]493880.75[/C][C]97405.2439634712[/C][C]178426[/C][/ROW]
[ROW][C]12[/C][C]507661[/C][C]82807.7143709047[/C][C]188783[/C][/ROW]
[ROW][C]13[/C][C]499332[/C][C]100640.29455773[/C][C]231412[/C][/ROW]
[ROW][C]14[/C][C]696491.5[/C][C]25027.1957877825[/C][C]52986[/C][/ROW]
[ROW][C]15[/C][C]714885.75[/C][C]81665.8550736883[/C][C]199229[/C][/ROW]
[ROW][C]16[/C][C]741095.25[/C][C]88301.7280932259[/C][C]210609[/C][/ROW]
[ROW][C]17[/C][C]1050776.75[/C][C]45291.427764166[/C][C]104737[/C][/ROW]
[ROW][C]18[/C][C]1103428.75[/C][C]96769.4969239619[/C][C]220955[/C][/ROW]
[ROW][C]19[/C][C]1103147.75[/C][C]111413.068947274[/C][C]262460[/C][/ROW]
[ROW][C]20[/C][C]1394943.75[/C][C]77668.4896483123[/C][C]178425[/C][/ROW]
[ROW][C]21[/C][C]1479031.5[/C][C]92937.2214257201[/C][C]188884[/C][/ROW]
[ROW][C]22[/C][C]1410521[/C][C]78169.1676430036[/C][C]178527[/C][/ROW]
[ROW][C]23[/C][C]1620871.25[/C][C]77365.9205179085[/C][C]178426[/C][/ROW]
[ROW][C]24[/C][C]1681055.25[/C][C]118017.447310062[/C][C]241768[/C][/ROW]
[ROW][C]25[/C][C]1667808.25[/C][C]66100.4636008705[/C][C]157723[/C][/ROW]
[ROW][C]26[/C][C]1830937.5[/C][C]41370.6232045558[/C][C]84035[/C][/ROW]
[ROW][C]27[/C][C]1914512[/C][C]155159.001238514[/C][C]284286[/C][/ROW]
[ROW][C]28[/C][C]1940956.75[/C][C]78289.8184626626[/C][C]178426[/C][/ROW]
[ROW][C]29[/C][C]2111901.75[/C][C]49250.8702621927[/C][C]94391[/C][/ROW]
[ROW][C]30[/C][C]2145870.75[/C][C]116261.248592341[/C][C]241758[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123380&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123380&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	570150.75	17678.8691451122	41405
2	643530.5	131503.772073909	272817
3	504507.5	15171.8763836251	32182
4	389394	54718.6680393447	115194
5	438917.75	155032.173706783	336150
6	373279.75	57505.1449372141	116218
7	373560.75	44447.3780207187	105861
8	389087.75	155289.116436353	336149
9	365515.5	44694.5405801052	104748
10	299900.25	29920.0988787916	72555
11	493880.75	97405.2439634712	178426
12	507661	82807.7143709047	188783
13	499332	100640.29455773	231412
14	696491.5	25027.1957877825	52986
15	714885.75	81665.8550736883	199229
16	741095.25	88301.7280932259	210609
17	1050776.75	45291.427764166	104737
18	1103428.75	96769.4969239619	220955
19	1103147.75	111413.068947274	262460
20	1394943.75	77668.4896483123	178425
21	1479031.5	92937.2214257201	188884
22	1410521	78169.1676430036	178527
23	1620871.25	77365.9205179085	178426
24	1681055.25	118017.447310062	241768
25	1667808.25	66100.4636008705	157723
26	1830937.5	41370.6232045558	84035
27	1914512	155159.001238514	284286
28	1940956.75	78289.8184626626	178426
29	2111901.75	49250.8702621927	94391
30	2145870.75	116261.248592341	241758

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	68514.6660462397
beta	0.010849212200124
S.D.	0.0119471013101557
T-STAT	0.908104143295545
p-value	0.371573285100374

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 68514.6660462397 \tabularnewline
beta & 0.010849212200124 \tabularnewline
S.D. & 0.0119471013101557 \tabularnewline
T-STAT & 0.908104143295545 \tabularnewline
p-value & 0.371573285100374 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123380&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]68514.6660462397[/C][/ROW]
[ROW][C]beta[/C][C]0.010849212200124[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0119471013101557[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.908104143295545[/C][/ROW]
[ROW][C]p-value[/C][C]0.371573285100374[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123380&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123380&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	68514.6660462397
beta	0.010849212200124
S.D.	0.0119471013101557
T-STAT	0.908104143295545
p-value	0.371573285100374

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.84722238963659
beta	0.24095085151804
S.D.	0.171318514248242
T-STAT	1.40644957478968
p-value	0.170592819644521
Lambda	0.75904914848196

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.84722238963659 \tabularnewline
beta & 0.24095085151804 \tabularnewline
S.D. & 0.171318514248242 \tabularnewline
T-STAT & 1.40644957478968 \tabularnewline
p-value & 0.170592819644521 \tabularnewline
Lambda & 0.75904914848196 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123380&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.84722238963659[/C][/ROW]
[ROW][C]beta[/C][C]0.24095085151804[/C][/ROW]
[ROW][C]S.D.[/C][C]0.171318514248242[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.40644957478968[/C][/ROW]
[ROW][C]p-value[/C][C]0.170592819644521[/C][/ROW]
[ROW][C]Lambda[/C][C]0.75904914848196[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123380&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123380&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	7.84722238963659
beta	0.24095085151804
S.D.	0.171318514248242
T-STAT	1.40644957478968
p-value	0.170592819644521
Lambda	0.75904914848196

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