Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 16 Aug 2017 19:43:12 +0200

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/2017/Aug/16/t1502905445k3x67dz43cte9xv.htm/, Retrieved Sat, 11 May 2024 15:42:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307478, Retrieved Sat, 11 May 2024 15:42:09 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2017-08-16 17:43:12] [d41d8cd98f00b204e9800998ecf8427e] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

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	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307478&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307478&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307478&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	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	46466.6666666667	5793.62240796383	21600
2	45266.6666666667	7900.90136783408	28800
3	43333.3333333333	8478.99365097848	28000
4	43733.3333333333	9287.85456519655	34400
5	43400	10975.0129426306	36800
6	44666.6666666667	11047.4458860888	36800
7	45533.3333333333	10816.597795924	40000
8	46066.6666666667	11620.4626205307	40000
9	45733.3333333333	12675.913690097	44800

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 46466.6666666667 & 5793.62240796383 & 21600 \tabularnewline
2 & 45266.6666666667 & 7900.90136783408 & 28800 \tabularnewline
3 & 43333.3333333333 & 8478.99365097848 & 28000 \tabularnewline
4 & 43733.3333333333 & 9287.85456519655 & 34400 \tabularnewline
5 & 43400 & 10975.0129426306 & 36800 \tabularnewline
6 & 44666.6666666667 & 11047.4458860888 & 36800 \tabularnewline
7 & 45533.3333333333 & 10816.597795924 & 40000 \tabularnewline
8 & 46066.6666666667 & 11620.4626205307 & 40000 \tabularnewline
9 & 45733.3333333333 & 12675.913690097 & 44800 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307478&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]46466.6666666667[/C][C]5793.62240796383[/C][C]21600[/C][/ROW]
[ROW][C]2[/C][C]45266.6666666667[/C][C]7900.90136783408[/C][C]28800[/C][/ROW]
[ROW][C]3[/C][C]43333.3333333333[/C][C]8478.99365097848[/C][C]28000[/C][/ROW]
[ROW][C]4[/C][C]43733.3333333333[/C][C]9287.85456519655[/C][C]34400[/C][/ROW]
[ROW][C]5[/C][C]43400[/C][C]10975.0129426306[/C][C]36800[/C][/ROW]
[ROW][C]6[/C][C]44666.6666666667[/C][C]11047.4458860888[/C][C]36800[/C][/ROW]
[ROW][C]7[/C][C]45533.3333333333[/C][C]10816.597795924[/C][C]40000[/C][/ROW]
[ROW][C]8[/C][C]46066.6666666667[/C][C]11620.4626205307[/C][C]40000[/C][/ROW]
[ROW][C]9[/C][C]45733.3333333333[/C][C]12675.913690097[/C][C]44800[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307478&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307478&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	46466.6666666667	5793.62240796383	21600
2	45266.6666666667	7900.90136783408	28800
3	43333.3333333333	8478.99365097848	28000
4	43733.3333333333	9287.85456519655	34400
5	43400	10975.0129426306	36800
6	44666.6666666667	11047.4458860888	36800
7	45533.3333333333	10816.597795924	40000
8	46066.6666666667	11620.4626205307	40000
9	45733.3333333333	12675.913690097	44800

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	14669.7127425379
beta	-0.107448317059865
S.D.	0.68875700161761
T-STAT	-0.156003230177715
p-value	0.880434120508981

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 14669.7127425379 \tabularnewline
beta & -0.107448317059865 \tabularnewline
S.D. & 0.68875700161761 \tabularnewline
T-STAT & -0.156003230177715 \tabularnewline
p-value & 0.880434120508981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307478&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14669.7127425379[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059865[/C][/ROW]
[ROW][C]S.D.[/C][C]0.68875700161761[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177715[/C][/ROW]
[ROW][C]p-value[/C][C]0.880434120508981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307478&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307478&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	14669.7127425379
beta	-0.107448317059865
S.D.	0.68875700161761
T-STAT	-0.156003230177715
p-value	0.880434120508981

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	23.0566505158355
beta	-1.29633550728102
S.D.	3.45582772786278
T-STAT	-0.375115778147519
p-value	0.718681736243652
Lambda	2.29633550728102

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 23.0566505158355 \tabularnewline
beta & -1.29633550728102 \tabularnewline
S.D. & 3.45582772786278 \tabularnewline
T-STAT & -0.375115778147519 \tabularnewline
p-value & 0.718681736243652 \tabularnewline
Lambda & 2.29633550728102 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307478&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]23.0566505158355[/C][/ROW]
[ROW][C]beta[/C][C]-1.29633550728102[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45582772786278[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115778147519[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681736243652[/C][/ROW]
[ROW][C]Lambda[/C][C]2.29633550728102[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307478&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307478&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	23.0566505158355
beta	-1.29633550728102
S.D.	3.45582772786278
T-STAT	-0.375115778147519
p-value	0.718681736243652
Lambda	2.29633550728102

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