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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

Sat, 26 Nov 2016 19:44:40 +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/2016/Nov/26/t1480189496rfqg45shkplpoan.htm/, Retrieved Fri, 03 May 2024 17:35:38 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 03 May 2024 17:35:38 +0200

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Original text written by user:

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No (this computation is public)

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Estimated Impact

Dataseries X:

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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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	48934.25	8348.93994768198	19590
2	49596.5	4182.8782355375	8954
3	48351.5	7372.06088327183	17589
4	47985.25	6385.97068450313	15066
5	51657.25	7793.81033791132	17889
6	52441.75	3380.9510866027	7644
7	50600.25	3946.91942110131	9307
8	45598	3450.6670852653	7469
9	31883	4101.93474675874	9593
10	31531.75	2694.37232950459	6348
11	30184.75	1601.7093733467	3722
12	29315.25	6781.77348363489	12726
13	27523.5	6382.91628750788	13857
14	38377.75	9576.32951170054	22351
15	44573.25	8445.84033217931	17908

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 48934.25 & 8348.93994768198 & 19590 \tabularnewline
2 & 49596.5 & 4182.8782355375 & 8954 \tabularnewline
3 & 48351.5 & 7372.06088327183 & 17589 \tabularnewline
4 & 47985.25 & 6385.97068450313 & 15066 \tabularnewline
5 & 51657.25 & 7793.81033791132 & 17889 \tabularnewline
6 & 52441.75 & 3380.9510866027 & 7644 \tabularnewline
7 & 50600.25 & 3946.91942110131 & 9307 \tabularnewline
8 & 45598 & 3450.6670852653 & 7469 \tabularnewline
9 & 31883 & 4101.93474675874 & 9593 \tabularnewline
10 & 31531.75 & 2694.37232950459 & 6348 \tabularnewline
11 & 30184.75 & 1601.7093733467 & 3722 \tabularnewline
12 & 29315.25 & 6781.77348363489 & 12726 \tabularnewline
13 & 27523.5 & 6382.91628750788 & 13857 \tabularnewline
14 & 38377.75 & 9576.32951170054 & 22351 \tabularnewline
15 & 44573.25 & 8445.84033217931 & 17908 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]48934.25[/C][C]8348.93994768198[/C][C]19590[/C][/ROW]
[ROW][C]2[/C][C]49596.5[/C][C]4182.8782355375[/C][C]8954[/C][/ROW]
[ROW][C]3[/C][C]48351.5[/C][C]7372.06088327183[/C][C]17589[/C][/ROW]
[ROW][C]4[/C][C]47985.25[/C][C]6385.97068450313[/C][C]15066[/C][/ROW]
[ROW][C]5[/C][C]51657.25[/C][C]7793.81033791132[/C][C]17889[/C][/ROW]
[ROW][C]6[/C][C]52441.75[/C][C]3380.9510866027[/C][C]7644[/C][/ROW]
[ROW][C]7[/C][C]50600.25[/C][C]3946.91942110131[/C][C]9307[/C][/ROW]
[ROW][C]8[/C][C]45598[/C][C]3450.6670852653[/C][C]7469[/C][/ROW]
[ROW][C]9[/C][C]31883[/C][C]4101.93474675874[/C][C]9593[/C][/ROW]
[ROW][C]10[/C][C]31531.75[/C][C]2694.37232950459[/C][C]6348[/C][/ROW]
[ROW][C]11[/C][C]30184.75[/C][C]1601.7093733467[/C][C]3722[/C][/ROW]
[ROW][C]12[/C][C]29315.25[/C][C]6781.77348363489[/C][C]12726[/C][/ROW]
[ROW][C]13[/C][C]27523.5[/C][C]6382.91628750788[/C][C]13857[/C][/ROW]
[ROW][C]14[/C][C]38377.75[/C][C]9576.32951170054[/C][C]22351[/C][/ROW]
[ROW][C]15[/C][C]44573.25[/C][C]8445.84033217931[/C][C]17908[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	48934.25	8348.93994768198	19590
2	49596.5	4182.8782355375	8954
3	48351.5	7372.06088327183	17589
4	47985.25	6385.97068450313	15066
5	51657.25	7793.81033791132	17889
6	52441.75	3380.9510866027	7644
7	50600.25	3946.91942110131	9307
8	45598	3450.6670852653	7469
9	31883	4101.93474675874	9593
10	31531.75	2694.37232950459	6348
11	30184.75	1601.7093733467	3722
12	29315.25	6781.77348363489	12726
13	27523.5	6382.91628750788	13857
14	38377.75	9576.32951170054	22351
15	44573.25	8445.84033217931	17908

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	3564.51603860037
beta	0.0492866693514035
S.D.	0.071253713427782
T-STAT	0.691706677173495
p-value	0.501289022973977

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3564.51603860037 \tabularnewline
beta & 0.0492866693514035 \tabularnewline
S.D. & 0.071253713427782 \tabularnewline
T-STAT & 0.691706677173495 \tabularnewline
p-value & 0.501289022973977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3564.51603860037[/C][/ROW]
[ROW][C]beta[/C][C]0.0492866693514035[/C][/ROW]
[ROW][C]S.D.[/C][C]0.071253713427782[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.691706677173495[/C][/ROW]
[ROW][C]p-value[/C][C]0.501289022973977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	3564.51603860037
beta	0.0492866693514035
S.D.	0.071253713427782
T-STAT	0.691706677173495
p-value	0.501289022973977

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.68433201085273
beta	0.55048510801546
S.D.	0.570307314472192
T-STAT	0.965242938405801
p-value	0.352036833130498
Lambda	0.44951489198454

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.68433201085273 \tabularnewline
beta & 0.55048510801546 \tabularnewline
S.D. & 0.570307314472192 \tabularnewline
T-STAT & 0.965242938405801 \tabularnewline
p-value & 0.352036833130498 \tabularnewline
Lambda & 0.44951489198454 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.68433201085273[/C][/ROW]
[ROW][C]beta[/C][C]0.55048510801546[/C][/ROW]
[ROW][C]S.D.[/C][C]0.570307314472192[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.965242938405801[/C][/ROW]
[ROW][C]p-value[/C][C]0.352036833130498[/C][/ROW]
[ROW][C]Lambda[/C][C]0.44951489198454[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	2.68433201085273
beta	0.55048510801546
S.D.	0.570307314472192
T-STAT	0.965242938405801
p-value	0.352036833130498
Lambda	0.44951489198454

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