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, 23 Dec 2016 08:07:55 +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/23/t1482476890fqb78wvh5a6kdzc.htm/, Retrieved Tue, 07 May 2024 13:16:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302742, Retrieved Tue, 07 May 2024 13:16:20 +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

103

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

-       [Standard Deviation-Mean Plot] [Standard Deviatio...] [2016-12-23 07:07:55] [36884fbde1107444791dd71ee0072a5a] [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=302742&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=302742&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302742&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	7720	1058.98750958382	2620
2	7831.66666666667	1001.07063898729	3220
3	7011.66666666667	937.286541355449	2460
4	6111.66666666667	868.748664703574	2220
5	5895	551.633936592012	1620
6	5736.66666666667	921.573095145995	3140
7	5275	459.337467545278	1580
8	5268.33333333333	332.861787679165	1040
9	5265	529.982847063769	1560

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7720 & 1058.98750958382 & 2620 \tabularnewline
2 & 7831.66666666667 & 1001.07063898729 & 3220 \tabularnewline
3 & 7011.66666666667 & 937.286541355449 & 2460 \tabularnewline
4 & 6111.66666666667 & 868.748664703574 & 2220 \tabularnewline
5 & 5895 & 551.633936592012 & 1620 \tabularnewline
6 & 5736.66666666667 & 921.573095145995 & 3140 \tabularnewline
7 & 5275 & 459.337467545278 & 1580 \tabularnewline
8 & 5268.33333333333 & 332.861787679165 & 1040 \tabularnewline
9 & 5265 & 529.982847063769 & 1560 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302742&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]7720[/C][C]1058.98750958382[/C][C]2620[/C][/ROW]
[ROW][C]2[/C][C]7831.66666666667[/C][C]1001.07063898729[/C][C]3220[/C][/ROW]
[ROW][C]3[/C][C]7011.66666666667[/C][C]937.286541355449[/C][C]2460[/C][/ROW]
[ROW][C]4[/C][C]6111.66666666667[/C][C]868.748664703574[/C][C]2220[/C][/ROW]
[ROW][C]5[/C][C]5895[/C][C]551.633936592012[/C][C]1620[/C][/ROW]
[ROW][C]6[/C][C]5736.66666666667[/C][C]921.573095145995[/C][C]3140[/C][/ROW]
[ROW][C]7[/C][C]5275[/C][C]459.337467545278[/C][C]1580[/C][/ROW]
[ROW][C]8[/C][C]5268.33333333333[/C][C]332.861787679165[/C][C]1040[/C][/ROW]
[ROW][C]9[/C][C]5265[/C][C]529.982847063769[/C][C]1560[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302742&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302742&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	7720	1058.98750958382	2620
2	7831.66666666667	1001.07063898729	3220
3	7011.66666666667	937.286541355449	2460
4	6111.66666666667	868.748664703574	2220
5	5895	551.633936592012	1620
6	5736.66666666667	921.573095145995	3140
7	5275	459.337467545278	1580
8	5268.33333333333	332.861787679165	1040
9	5265	529.982847063769	1560

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-624.751032884043
beta	0.218911909197411
S.D.	0.0538979707642723
T-STAT	4.06159835135246
p-value	0.00479988999652913

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -624.751032884043 \tabularnewline
beta & 0.218911909197411 \tabularnewline
S.D. & 0.0538979707642723 \tabularnewline
T-STAT & 4.06159835135246 \tabularnewline
p-value & 0.00479988999652913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302742&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-624.751032884043[/C][/ROW]
[ROW][C]beta[/C][C]0.218911909197411[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0538979707642723[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.06159835135246[/C][/ROW]
[ROW][C]p-value[/C][C]0.00479988999652913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302742&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302742&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	-624.751032884043
beta	0.218911909197411
S.D.	0.0538979707642723
T-STAT	4.06159835135246
p-value	0.00479988999652913

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-11.78439693808
beta	2.09957425401731
S.D.	0.567206612830607
T-STAT	3.70160397732235
p-value	0.00763882802299892
Lambda	-1.09957425401731

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.78439693808 \tabularnewline
beta & 2.09957425401731 \tabularnewline
S.D. & 0.567206612830607 \tabularnewline
T-STAT & 3.70160397732235 \tabularnewline
p-value & 0.00763882802299892 \tabularnewline
Lambda & -1.09957425401731 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302742&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.78439693808[/C][/ROW]
[ROW][C]beta[/C][C]2.09957425401731[/C][/ROW]
[ROW][C]S.D.[/C][C]0.567206612830607[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.70160397732235[/C][/ROW]
[ROW][C]p-value[/C][C]0.00763882802299892[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.09957425401731[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302742&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302742&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	-11.78439693808
beta	2.09957425401731
S.D.	0.567206612830607
T-STAT	3.70160397732235
p-value	0.00763882802299892
Lambda	-1.09957425401731

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