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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, 12 May 2008 15:51:09 -0600

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/2008/May/12/t1210629094mib7kqv1rb79koq.htm/, Retrieved Tue, 14 May 2024 10:32:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12454, Retrieved Tue, 14 May 2024 10:32:04 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

170

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

-     [Mean Plot] [Bouwvergunningen] [2008-04-28 20:31:41] [70836ebc47039e6a5440e0357610e663]
- RMPD    [Standard Deviation-Mean Plot] [Bouwvergunningen] [2008-05-12 21:51:09] [8e49e33bff217c9d761ee51a4d4e5949] [Current]
-   PD      [Standard Deviation-Mean Plot] [Bouwvergunningen] [2008-05-28 10:17:42] [74be16979710d4c4e7c6647856088456] 

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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	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=12454&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=12454&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12454&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	2188.25	409.526047197652	806
2	2314.75	331.48994454332	770
3	2656.25	267.871082176981	626
4	2530.5	346.796289868659	832
5	2487.25	223.783191206727	467
6	2600.25	102.366579832808	232
7	2804	507.224473647188	1168
8	3184.75	435.146239786121	880
9	3046.25	705.088824191676	1540
10	3075.25	310.987004015709	736
11	3305.75	385.896683064263	934
12	3538.75	477.373630747796	1076
13	3654	330.708330708496	738
14	3955.25	427.899034041131	887
15	3460	412.046113924158	947
16	3157.5	354.690945284295	709
17	3180.25	220.270099347748	476
18	3048.75	402.211697990001	913

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2188.25 & 409.526047197652 & 806 \tabularnewline
2 & 2314.75 & 331.48994454332 & 770 \tabularnewline
3 & 2656.25 & 267.871082176981 & 626 \tabularnewline
4 & 2530.5 & 346.796289868659 & 832 \tabularnewline
5 & 2487.25 & 223.783191206727 & 467 \tabularnewline
6 & 2600.25 & 102.366579832808 & 232 \tabularnewline
7 & 2804 & 507.224473647188 & 1168 \tabularnewline
8 & 3184.75 & 435.146239786121 & 880 \tabularnewline
9 & 3046.25 & 705.088824191676 & 1540 \tabularnewline
10 & 3075.25 & 310.987004015709 & 736 \tabularnewline
11 & 3305.75 & 385.896683064263 & 934 \tabularnewline
12 & 3538.75 & 477.373630747796 & 1076 \tabularnewline
13 & 3654 & 330.708330708496 & 738 \tabularnewline
14 & 3955.25 & 427.899034041131 & 887 \tabularnewline
15 & 3460 & 412.046113924158 & 947 \tabularnewline
16 & 3157.5 & 354.690945284295 & 709 \tabularnewline
17 & 3180.25 & 220.270099347748 & 476 \tabularnewline
18 & 3048.75 & 402.211697990001 & 913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12454&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]2188.25[/C][C]409.526047197652[/C][C]806[/C][/ROW]
[ROW][C]2[/C][C]2314.75[/C][C]331.48994454332[/C][C]770[/C][/ROW]
[ROW][C]3[/C][C]2656.25[/C][C]267.871082176981[/C][C]626[/C][/ROW]
[ROW][C]4[/C][C]2530.5[/C][C]346.796289868659[/C][C]832[/C][/ROW]
[ROW][C]5[/C][C]2487.25[/C][C]223.783191206727[/C][C]467[/C][/ROW]
[ROW][C]6[/C][C]2600.25[/C][C]102.366579832808[/C][C]232[/C][/ROW]
[ROW][C]7[/C][C]2804[/C][C]507.224473647188[/C][C]1168[/C][/ROW]
[ROW][C]8[/C][C]3184.75[/C][C]435.146239786121[/C][C]880[/C][/ROW]
[ROW][C]9[/C][C]3046.25[/C][C]705.088824191676[/C][C]1540[/C][/ROW]
[ROW][C]10[/C][C]3075.25[/C][C]310.987004015709[/C][C]736[/C][/ROW]
[ROW][C]11[/C][C]3305.75[/C][C]385.896683064263[/C][C]934[/C][/ROW]
[ROW][C]12[/C][C]3538.75[/C][C]477.373630747796[/C][C]1076[/C][/ROW]
[ROW][C]13[/C][C]3654[/C][C]330.708330708496[/C][C]738[/C][/ROW]
[ROW][C]14[/C][C]3955.25[/C][C]427.899034041131[/C][C]887[/C][/ROW]
[ROW][C]15[/C][C]3460[/C][C]412.046113924158[/C][C]947[/C][/ROW]
[ROW][C]16[/C][C]3157.5[/C][C]354.690945284295[/C][C]709[/C][/ROW]
[ROW][C]17[/C][C]3180.25[/C][C]220.270099347748[/C][C]476[/C][/ROW]
[ROW][C]18[/C][C]3048.75[/C][C]402.211697990001[/C][C]913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12454&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12454&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	2188.25	409.526047197652	806
2	2314.75	331.48994454332	770
3	2656.25	267.871082176981	626
4	2530.5	346.796289868659	832
5	2487.25	223.783191206727	467
6	2600.25	102.366579832808	232
7	2804	507.224473647188	1168
8	3184.75	435.146239786121	880
9	3046.25	705.088824191676	1540
10	3075.25	310.987004015709	736
11	3305.75	385.896683064263	934
12	3538.75	477.373630747796	1076
13	3654	330.708330708496	738
14	3955.25	427.899034041131	887
15	3460	412.046113924158	947
16	3157.5	354.690945284295	709
17	3180.25	220.270099347748	476
18	3048.75	402.211697990001	913

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	139.846517073956
beta	0.0762928688540033
S.D.	0.0646348201370848
T-STAT	1.18036793004441
p-value	0.255105261185320

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 139.846517073956 \tabularnewline
beta & 0.0762928688540033 \tabularnewline
S.D. & 0.0646348201370848 \tabularnewline
T-STAT & 1.18036793004441 \tabularnewline
p-value & 0.255105261185320 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12454&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]139.846517073956[/C][/ROW]
[ROW][C]beta[/C][C]0.0762928688540033[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0646348201370848[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.18036793004441[/C][/ROW]
[ROW][C]p-value[/C][C]0.255105261185320[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12454&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12454&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	139.846517073956
beta	0.0762928688540033
S.D.	0.0646348201370848
T-STAT	1.18036793004441
p-value	0.255105261185320

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.448900495506571
beta	0.7866978545393
S.D.	0.60237534972509
T-STAT	1.30599277493399
p-value	0.210020292313246
Lambda	0.2133021454607

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.448900495506571 \tabularnewline
beta & 0.7866978545393 \tabularnewline
S.D. & 0.60237534972509 \tabularnewline
T-STAT & 1.30599277493399 \tabularnewline
p-value & 0.210020292313246 \tabularnewline
Lambda & 0.2133021454607 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12454&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.448900495506571[/C][/ROW]
[ROW][C]beta[/C][C]0.7866978545393[/C][/ROW]
[ROW][C]S.D.[/C][C]0.60237534972509[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.30599277493399[/C][/ROW]
[ROW][C]p-value[/C][C]0.210020292313246[/C][/ROW]
[ROW][C]Lambda[/C][C]0.2133021454607[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12454&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12454&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	-0.448900495506571
beta	0.7866978545393
S.D.	0.60237534972509
T-STAT	1.30599277493399
p-value	0.210020292313246
Lambda	0.2133021454607

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