Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 09 Dec 2016 12:51:26 +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/Dec/09/t14812843992rm7c62petdted6.htm/, Retrieved Sat, 18 May 2024 04:03:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298482, Retrieved Sat, 18 May 2024 04:03:39 +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] [Standard Deviatio...] [2016-12-09 11:51:26] [9fb47d69755d1f4b66b6f2591280f9e0] [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=298482&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=298482&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298482&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	3263.33333333333	593.178393116781	1960
2	3580	604.543403960979	2000
3	3955.83333333333	1410.50254315348	5110
4	3310.83333333333	607.056360021394	2180
5	3129.16666666667	512.506467069323	1460
6	2791.66666666667	358.172973279502	1150
7	3001.66666666667	518.158160012827	1710
8	2828.33333333333	349.358719873306	1080
9	2629.16666666667	316.039650370109	1040

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3263.33333333333 & 593.178393116781 & 1960 \tabularnewline
2 & 3580 & 604.543403960979 & 2000 \tabularnewline
3 & 3955.83333333333 & 1410.50254315348 & 5110 \tabularnewline
4 & 3310.83333333333 & 607.056360021394 & 2180 \tabularnewline
5 & 3129.16666666667 & 512.506467069323 & 1460 \tabularnewline
6 & 2791.66666666667 & 358.172973279502 & 1150 \tabularnewline
7 & 3001.66666666667 & 518.158160012827 & 1710 \tabularnewline
8 & 2828.33333333333 & 349.358719873306 & 1080 \tabularnewline
9 & 2629.16666666667 & 316.039650370109 & 1040 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298482&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]3263.33333333333[/C][C]593.178393116781[/C][C]1960[/C][/ROW]
[ROW][C]2[/C][C]3580[/C][C]604.543403960979[/C][C]2000[/C][/ROW]
[ROW][C]3[/C][C]3955.83333333333[/C][C]1410.50254315348[/C][C]5110[/C][/ROW]
[ROW][C]4[/C][C]3310.83333333333[/C][C]607.056360021394[/C][C]2180[/C][/ROW]
[ROW][C]5[/C][C]3129.16666666667[/C][C]512.506467069323[/C][C]1460[/C][/ROW]
[ROW][C]6[/C][C]2791.66666666667[/C][C]358.172973279502[/C][C]1150[/C][/ROW]
[ROW][C]7[/C][C]3001.66666666667[/C][C]518.158160012827[/C][C]1710[/C][/ROW]
[ROW][C]8[/C][C]2828.33333333333[/C][C]349.358719873306[/C][C]1080[/C][/ROW]
[ROW][C]9[/C][C]2629.16666666667[/C][C]316.039650370109[/C][C]1040[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298482&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298482&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	3263.33333333333	593.178393116781	1960
2	3580	604.543403960979	2000
3	3955.83333333333	1410.50254315348	5110
4	3310.83333333333	607.056360021394	2180
5	3129.16666666667	512.506467069323	1460
6	2791.66666666667	358.172973279502	1150
7	3001.66666666667	518.158160012827	1710
8	2828.33333333333	349.358719873306	1080
9	2629.16666666667	316.039650370109	1040

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1651.12308931455
beta	0.706550525612096
S.D.	0.133550041697368
T-STAT	5.29053017604576
p-value	0.00113498183516894

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1651.12308931455 \tabularnewline
beta & 0.706550525612096 \tabularnewline
S.D. & 0.133550041697368 \tabularnewline
T-STAT & 5.29053017604576 \tabularnewline
p-value & 0.00113498183516894 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298482&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1651.12308931455[/C][/ROW]
[ROW][C]beta[/C][C]0.706550525612096[/C][/ROW]
[ROW][C]S.D.[/C][C]0.133550041697368[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.29053017604576[/C][/ROW]
[ROW][C]p-value[/C][C]0.00113498183516894[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298482&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298482&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	-1651.12308931455
beta	0.706550525612096
S.D.	0.133550041697368
T-STAT	5.29053017604576
p-value	0.00113498183516894

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-20.1852596546165
beta	3.2853539225616
S.D.	0.421332499080951
T-STAT	7.79753266061344
p-value	0.000107319257811985
Lambda	-2.2853539225616

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -20.1852596546165 \tabularnewline
beta & 3.2853539225616 \tabularnewline
S.D. & 0.421332499080951 \tabularnewline
T-STAT & 7.79753266061344 \tabularnewline
p-value & 0.000107319257811985 \tabularnewline
Lambda & -2.2853539225616 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298482&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-20.1852596546165[/C][/ROW]
[ROW][C]beta[/C][C]3.2853539225616[/C][/ROW]
[ROW][C]S.D.[/C][C]0.421332499080951[/C][/ROW]
[ROW][C]T-STAT[/C][C]7.79753266061344[/C][/ROW]
[ROW][C]p-value[/C][C]0.000107319257811985[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.2853539225616[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298482&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298482&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	-20.1852596546165
beta	3.2853539225616
S.D.	0.421332499080951
T-STAT	7.79753266061344
p-value	0.000107319257811985
Lambda	-2.2853539225616

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 <- '6'
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