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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, 11 Jul 2016 19:48:27 +0100

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/2016/Jul/11/t1468263092v1nnc258e5t5kvq.htm/, Retrieved Mon, 06 May 2024 20:49:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295839, Retrieved Mon, 06 May 2024 20:49:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

177

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

-     [Univariate Data Series] [reeks A stap 1] [2016-07-11 17:21:44] [74be16979710d4c4e7c6647856088456]
- R PD  [Univariate Data Series] [reeks A stap 2] [2016-07-11 17:30:36] [74be16979710d4c4e7c6647856088456]
- RMP     [Histogram] [Reeks A stap 3] [2016-07-11 17:36:24] [74be16979710d4c4e7c6647856088456]
- RMP       [Notched Boxplots] [reeks A stap 9] [2016-07-11 18:02:33] [74be16979710d4c4e7c6647856088456]
- RMP           [Standard Deviation-Mean Plot] [reeks A stap 26] [2016-07-11 18:48:27] [d41d8cd98f00b204e9800998ecf8427e] [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	'Sir Maurice George Kendall' @ kendall.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 & 1 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295839&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295839&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295839&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	24403.25	641.654413499694	1909
2	25004.0833333333	903.237959015264	2871
3	25003.9166666667	969.092120429626	3021
4	24881	1162.76848317047	3384
5	24390.5833333333	1385.73462357325	4417
6	22998.6666666667	1088.41455448935	3534
7	21477	1597.51073406552	5009
8	18998.5833333333	1924.85250713981	5813
9	15697.8333333333	2417.7203324745	7067
10	11422.6666666667	2493.8712270223	7288

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 24403.25 & 641.654413499694 & 1909 \tabularnewline
2 & 25004.0833333333 & 903.237959015264 & 2871 \tabularnewline
3 & 25003.9166666667 & 969.092120429626 & 3021 \tabularnewline
4 & 24881 & 1162.76848317047 & 3384 \tabularnewline
5 & 24390.5833333333 & 1385.73462357325 & 4417 \tabularnewline
6 & 22998.6666666667 & 1088.41455448935 & 3534 \tabularnewline
7 & 21477 & 1597.51073406552 & 5009 \tabularnewline
8 & 18998.5833333333 & 1924.85250713981 & 5813 \tabularnewline
9 & 15697.8333333333 & 2417.7203324745 & 7067 \tabularnewline
10 & 11422.6666666667 & 2493.8712270223 & 7288 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295839&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]24403.25[/C][C]641.654413499694[/C][C]1909[/C][/ROW]
[ROW][C]2[/C][C]25004.0833333333[/C][C]903.237959015264[/C][C]2871[/C][/ROW]
[ROW][C]3[/C][C]25003.9166666667[/C][C]969.092120429626[/C][C]3021[/C][/ROW]
[ROW][C]4[/C][C]24881[/C][C]1162.76848317047[/C][C]3384[/C][/ROW]
[ROW][C]5[/C][C]24390.5833333333[/C][C]1385.73462357325[/C][C]4417[/C][/ROW]
[ROW][C]6[/C][C]22998.6666666667[/C][C]1088.41455448935[/C][C]3534[/C][/ROW]
[ROW][C]7[/C][C]21477[/C][C]1597.51073406552[/C][C]5009[/C][/ROW]
[ROW][C]8[/C][C]18998.5833333333[/C][C]1924.85250713981[/C][C]5813[/C][/ROW]
[ROW][C]9[/C][C]15697.8333333333[/C][C]2417.7203324745[/C][C]7067[/C][/ROW]
[ROW][C]10[/C][C]11422.6666666667[/C][C]2493.8712270223[/C][C]7288[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295839&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295839&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	24403.25	641.654413499694	1909
2	25004.0833333333	903.237959015264	2871
3	25003.9166666667	969.092120429626	3021
4	24881	1162.76848317047	3384
5	24390.5833333333	1385.73462357325	4417
6	22998.6666666667	1088.41455448935	3534
7	21477	1597.51073406552	5009
8	18998.5833333333	1924.85250713981	5813
9	15697.8333333333	2417.7203324745	7067
10	11422.6666666667	2493.8712270223	7288

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4181.7729361166
beta	-0.127091560314652
S.D.	0.0178501325614189
T-STAT	-7.11992249230386
p-value	0.000100008020728345

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4181.7729361166 \tabularnewline
beta & -0.127091560314652 \tabularnewline
S.D. & 0.0178501325614189 \tabularnewline
T-STAT & -7.11992249230386 \tabularnewline
p-value & 0.000100008020728345 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295839&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4181.7729361166[/C][/ROW]
[ROW][C]beta[/C][C]-0.127091560314652[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0178501325614189[/C][/ROW]
[ROW][C]T-STAT[/C][C]-7.11992249230386[/C][/ROW]
[ROW][C]p-value[/C][C]0.000100008020728345[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295839&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295839&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	4181.7729361166
beta	-0.127091560314652
S.D.	0.0178501325614189
T-STAT	-7.11992249230386
p-value	0.000100008020728345

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	21.1966845862904
beta	-1.40752185432579
S.D.	0.3386207508263
T-STAT	-4.15663201647024
p-value	0.00317988095087388
Lambda	2.40752185432579

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 21.1966845862904 \tabularnewline
beta & -1.40752185432579 \tabularnewline
S.D. & 0.3386207508263 \tabularnewline
T-STAT & -4.15663201647024 \tabularnewline
p-value & 0.00317988095087388 \tabularnewline
Lambda & 2.40752185432579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295839&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.1966845862904[/C][/ROW]
[ROW][C]beta[/C][C]-1.40752185432579[/C][/ROW]
[ROW][C]S.D.[/C][C]0.3386207508263[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.15663201647024[/C][/ROW]
[ROW][C]p-value[/C][C]0.00317988095087388[/C][/ROW]
[ROW][C]Lambda[/C][C]2.40752185432579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295839&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295839&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	21.1966845862904
beta	-1.40752185432579
S.D.	0.3386207508263
T-STAT	-4.15663201647024
p-value	0.00317988095087388
Lambda	2.40752185432579

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0.1 ; par2 = 0.9 ; par3 = 0.10 ;

Parameters (R input):

par1 = 12 ;

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