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

Tue, 22 Mar 2016 09:06:33 +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/Mar/22/t1458637615qnsozvko2b3wnwi.htm/, Retrieved Mon, 29 Apr 2024 10:38:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294438, Retrieved Mon, 29 Apr 2024 10:38:17 +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] [] [2016-03-22 09:06:33] [383002b29a4d7fe40259202a4bc884b2] [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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294438&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294438&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294438&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	87.68	0.940715395082622	2.08
2	89.68	0.795989949685298	1.76000000000001
3	91.3775	0.682923195468637	1.51000000000001
4	93.55	1.88143079016524	4.16
5	96.55	0.217088168095992	0.480000000000004
6	96.925	1.32966502958794	2.94
7	99.2425	0.203520157589992	0.450000000000003
8	100.0025	0.76433125850463	1.69
9	101.575	0.587947121926638	1.3
10	109.935	13.3599676782407	29.54

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 87.68 & 0.940715395082622 & 2.08 \tabularnewline
2 & 89.68 & 0.795989949685298 & 1.76000000000001 \tabularnewline
3 & 91.3775 & 0.682923195468637 & 1.51000000000001 \tabularnewline
4 & 93.55 & 1.88143079016524 & 4.16 \tabularnewline
5 & 96.55 & 0.217088168095992 & 0.480000000000004 \tabularnewline
6 & 96.925 & 1.32966502958794 & 2.94 \tabularnewline
7 & 99.2425 & 0.203520157589992 & 0.450000000000003 \tabularnewline
8 & 100.0025 & 0.76433125850463 & 1.69 \tabularnewline
9 & 101.575 & 0.587947121926638 & 1.3 \tabularnewline
10 & 109.935 & 13.3599676782407 & 29.54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294438&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]87.68[/C][C]0.940715395082622[/C][C]2.08[/C][/ROW]
[ROW][C]2[/C][C]89.68[/C][C]0.795989949685298[/C][C]1.76000000000001[/C][/ROW]
[ROW][C]3[/C][C]91.3775[/C][C]0.682923195468637[/C][C]1.51000000000001[/C][/ROW]
[ROW][C]4[/C][C]93.55[/C][C]1.88143079016524[/C][C]4.16[/C][/ROW]
[ROW][C]5[/C][C]96.55[/C][C]0.217088168095992[/C][C]0.480000000000004[/C][/ROW]
[ROW][C]6[/C][C]96.925[/C][C]1.32966502958794[/C][C]2.94[/C][/ROW]
[ROW][C]7[/C][C]99.2425[/C][C]0.203520157589992[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]8[/C][C]100.0025[/C][C]0.76433125850463[/C][C]1.69[/C][/ROW]
[ROW][C]9[/C][C]101.575[/C][C]0.587947121926638[/C][C]1.3[/C][/ROW]
[ROW][C]10[/C][C]109.935[/C][C]13.3599676782407[/C][C]29.54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294438&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294438&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	87.68	0.940715395082622	2.08
2	89.68	0.795989949685298	1.76000000000001
3	91.3775	0.682923195468637	1.51000000000001
4	93.55	1.88143079016524	4.16
5	96.55	0.217088168095992	0.480000000000004
6	96.925	1.32966502958794	2.94
7	99.2425	0.203520157589992	0.450000000000003
8	100.0025	0.76433125850463	1.69
9	101.575	0.587947121926638	1.3
10	109.935	13.3599676782407	29.54

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-38.1557653183778
beta	0.416258610866462
S.D.	0.157997726867599
T-STAT	2.63458607360397
p-value	0.0299640825428278

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -38.1557653183778 \tabularnewline
beta & 0.416258610866462 \tabularnewline
S.D. & 0.157997726867599 \tabularnewline
T-STAT & 2.63458607360397 \tabularnewline
p-value & 0.0299640825428278 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294438&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-38.1557653183778[/C][/ROW]
[ROW][C]beta[/C][C]0.416258610866462[/C][/ROW]
[ROW][C]S.D.[/C][C]0.157997726867599[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.63458607360397[/C][/ROW]
[ROW][C]p-value[/C][C]0.0299640825428278[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294438&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294438&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	-38.1557653183778
beta	0.416258610866462
S.D.	0.157997726867599
T-STAT	2.63458607360397
p-value	0.0299640825428278

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-31.9643726215259
beta	6.97213431771048
S.D.	5.72916041793117
T-STAT	1.21695568095616
p-value	0.258300727931529
Lambda	-5.97213431771048

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -31.9643726215259 \tabularnewline
beta & 6.97213431771048 \tabularnewline
S.D. & 5.72916041793117 \tabularnewline
T-STAT & 1.21695568095616 \tabularnewline
p-value & 0.258300727931529 \tabularnewline
Lambda & -5.97213431771048 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294438&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-31.9643726215259[/C][/ROW]
[ROW][C]beta[/C][C]6.97213431771048[/C][/ROW]
[ROW][C]S.D.[/C][C]5.72916041793117[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.21695568095616[/C][/ROW]
[ROW][C]p-value[/C][C]0.258300727931529[/C][/ROW]
[ROW][C]Lambda[/C][C]-5.97213431771048[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294438&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294438&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	-31.9643726215259
beta	6.97213431771048
S.D.	5.72916041793117
T-STAT	1.21695568095616
p-value	0.258300727931529
Lambda	-5.97213431771048

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