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

Mon, 19 Dec 2016 14:30:39 +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/Dec/19/t1482154285bhkfkarp2d9d3c6.htm/, Retrieved Fri, 17 May 2024 18:24:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301344, Retrieved Fri, 17 May 2024 18:24:00 +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...] [2016-12-19 13:30:39] [e0044ff8caf2d68149dcdb0ba8e86f31] [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=301344&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=301344&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301344&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	4153.33333333333	540.997955521819	1560
2	4511.66666666667	791.613235836488	2780
3	4401.66666666667	1005.67330076859	3760
4	4308.33333333333	628.618012834986	2120
5	3936.66666666667	539.416070366556	1720
6	3848.33333333333	495.173676296479	1400
7	3756.66666666667	371.418248274792	1040
8	3651.66666666667	407.694924563885	1140
9	3538.33333333333	413.187902078755	1140
10	NaN	NA	-Inf
11	NaN	NA	-Inf
12	NaN	NA	-Inf

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4153.33333333333 & 540.997955521819 & 1560 \tabularnewline
2 & 4511.66666666667 & 791.613235836488 & 2780 \tabularnewline
3 & 4401.66666666667 & 1005.67330076859 & 3760 \tabularnewline
4 & 4308.33333333333 & 628.618012834986 & 2120 \tabularnewline
5 & 3936.66666666667 & 539.416070366556 & 1720 \tabularnewline
6 & 3848.33333333333 & 495.173676296479 & 1400 \tabularnewline
7 & 3756.66666666667 & 371.418248274792 & 1040 \tabularnewline
8 & 3651.66666666667 & 407.694924563885 & 1140 \tabularnewline
9 & 3538.33333333333 & 413.187902078755 & 1140 \tabularnewline
10 & NaN & NA & -Inf \tabularnewline
11 & NaN & NA & -Inf \tabularnewline
12 & NaN & NA & -Inf \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301344&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]4153.33333333333[/C][C]540.997955521819[/C][C]1560[/C][/ROW]
[ROW][C]2[/C][C]4511.66666666667[/C][C]791.613235836488[/C][C]2780[/C][/ROW]
[ROW][C]3[/C][C]4401.66666666667[/C][C]1005.67330076859[/C][C]3760[/C][/ROW]
[ROW][C]4[/C][C]4308.33333333333[/C][C]628.618012834986[/C][C]2120[/C][/ROW]
[ROW][C]5[/C][C]3936.66666666667[/C][C]539.416070366556[/C][C]1720[/C][/ROW]
[ROW][C]6[/C][C]3848.33333333333[/C][C]495.173676296479[/C][C]1400[/C][/ROW]
[ROW][C]7[/C][C]3756.66666666667[/C][C]371.418248274792[/C][C]1040[/C][/ROW]
[ROW][C]8[/C][C]3651.66666666667[/C][C]407.694924563885[/C][C]1140[/C][/ROW]
[ROW][C]9[/C][C]3538.33333333333[/C][C]413.187902078755[/C][C]1140[/C][/ROW]
[ROW][C]10[/C][C]NaN[/C][C]NA[/C][C]-Inf[/C][/ROW]
[ROW][C]11[/C][C]NaN[/C][C]NA[/C][C]-Inf[/C][/ROW]
[ROW][C]12[/C][C]NaN[/C][C]NA[/C][C]-Inf[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301344&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301344&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	4153.33333333333	540.997955521819	1560
2	4511.66666666667	791.613235836488	2780
3	4401.66666666667	1005.67330076859	3760
4	4308.33333333333	628.618012834986	2120
5	3936.66666666667	539.416070366556	1720
6	3848.33333333333	495.173676296479	1400
7	3756.66666666667	371.418248274792	1040
8	3651.66666666667	407.694924563885	1140
9	3538.33333333333	413.187902078755	1140
10	NaN	NA	-Inf
11	NaN	NA	-Inf
12	NaN	NA	-Inf

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1475.67232534055
beta	0.511674046933363
S.D.	0.114372985902752
T-STAT	4.47373164995816
p-value	0.00288795002517905

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1475.67232534055 \tabularnewline
beta & 0.511674046933363 \tabularnewline
S.D. & 0.114372985902752 \tabularnewline
T-STAT & 4.47373164995816 \tabularnewline
p-value & 0.00288795002517905 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301344&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1475.67232534055[/C][/ROW]
[ROW][C]beta[/C][C]0.511674046933363[/C][/ROW]
[ROW][C]S.D.[/C][C]0.114372985902752[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.47373164995816[/C][/ROW]
[ROW][C]p-value[/C][C]0.00288795002517905[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301344&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301344&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	-1475.67232534055
beta	0.511674046933363
S.D.	0.114372985902752
T-STAT	4.47373164995816
p-value	0.00288795002517905

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-21.8334437387262
beta	3.39310714561454
S.D.	0.630115544231732
T-STAT	5.38489674897892
p-value	0.00102496359985362
Lambda	-2.39310714561454

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -21.8334437387262 \tabularnewline
beta & 3.39310714561454 \tabularnewline
S.D. & 0.630115544231732 \tabularnewline
T-STAT & 5.38489674897892 \tabularnewline
p-value & 0.00102496359985362 \tabularnewline
Lambda & -2.39310714561454 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301344&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-21.8334437387262[/C][/ROW]
[ROW][C]beta[/C][C]3.39310714561454[/C][/ROW]
[ROW][C]S.D.[/C][C]0.630115544231732[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.38489674897892[/C][/ROW]
[ROW][C]p-value[/C][C]0.00102496359985362[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.39310714561454[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301344&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301344&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	-21.8334437387262
beta	3.39310714561454
S.D.	0.630115544231732
T-STAT	5.38489674897892
p-value	0.00102496359985362
Lambda	-2.39310714561454

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