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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

Sun, 29 May 2016 00:11:39 +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/May/29/t1464477187m5bamk2ejb8t8ky.htm/, Retrieved Sun, 28 Apr 2024 08:13:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295649, Retrieved Sun, 28 Apr 2024 08:13:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

110

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

-     [Standard Deviation Plot] [Opgave 8 stap 2] [2016-03-22 13:44:05] [29ab9c45344d5c037bf74b62f65f8e78]
- RM      [Standard Deviation-Mean Plot] [Opgave 8 stap 3] [2016-05-28 23:11:39] [0996086de175370e0a22efa864593ca4] [Current]

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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	'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=295649&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=295649&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295649&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	157.5	47.8377941115029	207
2	170.916666666667	56.7377673373234	202
3	172.166666666667	63.387456937234	257
4	194.75	86.1754288962611	330
5	163.5	75.6853534527832	315
6	242.583333333333	80.0539117587566	346
7	286.166666666667	105.16120381528	441
8	221.083333333333	88.3119042045999	324
9	250.916666666667	114.959643775412	508
10	331.083333333333	120.095006582541	496
11	336.666666666667	170.456783823687	564

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 157.5 & 47.8377941115029 & 207 \tabularnewline
2 & 170.916666666667 & 56.7377673373234 & 202 \tabularnewline
3 & 172.166666666667 & 63.387456937234 & 257 \tabularnewline
4 & 194.75 & 86.1754288962611 & 330 \tabularnewline
5 & 163.5 & 75.6853534527832 & 315 \tabularnewline
6 & 242.583333333333 & 80.0539117587566 & 346 \tabularnewline
7 & 286.166666666667 & 105.16120381528 & 441 \tabularnewline
8 & 221.083333333333 & 88.3119042045999 & 324 \tabularnewline
9 & 250.916666666667 & 114.959643775412 & 508 \tabularnewline
10 & 331.083333333333 & 120.095006582541 & 496 \tabularnewline
11 & 336.666666666667 & 170.456783823687 & 564 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295649&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]157.5[/C][C]47.8377941115029[/C][C]207[/C][/ROW]
[ROW][C]2[/C][C]170.916666666667[/C][C]56.7377673373234[/C][C]202[/C][/ROW]
[ROW][C]3[/C][C]172.166666666667[/C][C]63.387456937234[/C][C]257[/C][/ROW]
[ROW][C]4[/C][C]194.75[/C][C]86.1754288962611[/C][C]330[/C][/ROW]
[ROW][C]5[/C][C]163.5[/C][C]75.6853534527832[/C][C]315[/C][/ROW]
[ROW][C]6[/C][C]242.583333333333[/C][C]80.0539117587566[/C][C]346[/C][/ROW]
[ROW][C]7[/C][C]286.166666666667[/C][C]105.16120381528[/C][C]441[/C][/ROW]
[ROW][C]8[/C][C]221.083333333333[/C][C]88.3119042045999[/C][C]324[/C][/ROW]
[ROW][C]9[/C][C]250.916666666667[/C][C]114.959643775412[/C][C]508[/C][/ROW]
[ROW][C]10[/C][C]331.083333333333[/C][C]120.095006582541[/C][C]496[/C][/ROW]
[ROW][C]11[/C][C]336.666666666667[/C][C]170.456783823687[/C][C]564[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295649&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295649&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	157.5	47.8377941115029	207
2	170.916666666667	56.7377673373234	202
3	172.166666666667	63.387456937234	257
4	194.75	86.1754288962611	330
5	163.5	75.6853534527832	315
6	242.583333333333	80.0539117587566	346
7	286.166666666667	105.16120381528	441
8	221.083333333333	88.3119042045999	324
9	250.916666666667	114.959643775412	508
10	331.083333333333	120.095006582541	496
11	336.666666666667	170.456783823687	564

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-17.573466379462
beta	0.475667522369875
S.D.	0.0776423013223891
T-STAT	6.1263964909385
p-value	0.000173602411371757

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -17.573466379462 \tabularnewline
beta & 0.475667522369875 \tabularnewline
S.D. & 0.0776423013223891 \tabularnewline
T-STAT & 6.1263964909385 \tabularnewline
p-value & 0.000173602411371757 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295649&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-17.573466379462[/C][/ROW]
[ROW][C]beta[/C][C]0.475667522369875[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0776423013223891[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.1263964909385[/C][/ROW]
[ROW][C]p-value[/C][C]0.000173602411371757[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295649&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295649&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	-17.573466379462
beta	0.475667522369875
S.D.	0.0776423013223891
T-STAT	6.1263964909385
p-value	0.000173602411371757

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.9315662631607
beta	1.18288809751704
S.D.	0.18551424587759
T-STAT	6.37626556344117
p-value	0.000128820944005062
Lambda	-0.182888097517039

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.9315662631607 \tabularnewline
beta & 1.18288809751704 \tabularnewline
S.D. & 0.18551424587759 \tabularnewline
T-STAT & 6.37626556344117 \tabularnewline
p-value & 0.000128820944005062 \tabularnewline
Lambda & -0.182888097517039 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295649&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.9315662631607[/C][/ROW]
[ROW][C]beta[/C][C]1.18288809751704[/C][/ROW]
[ROW][C]S.D.[/C][C]0.18551424587759[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.37626556344117[/C][/ROW]
[ROW][C]p-value[/C][C]0.000128820944005062[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.182888097517039[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295649&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295649&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	-1.9315662631607
beta	1.18288809751704
S.D.	0.18551424587759
T-STAT	6.37626556344117
p-value	0.000128820944005062
Lambda	-0.182888097517039

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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