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

Sat, 14 Aug 2010 11:12:24 +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/2010/Aug/14/t12817843240r1hv8azm0j5pv1.htm/, Retrieved Mon, 06 May 2024 05:07:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78781, Retrieved Mon, 06 May 2024 05:07:13 +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

Reuben Vermoet

Estimated Impact

148

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

-       [Standard Deviation-Mean Plot] [Tijdreeks 2 - sta...] [2010-08-14 11:12:24] [2c3906e099e396db093769aeca236bf5] [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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78781&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78781&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78781&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	170.25	1.70782512765993	4
2	166.25	1.25830573921179	3
3	170	1.41421356237310	3
4	165.5	9.67815409397198	21
5	145.75	3.59397644214130	8
6	147.25	2.75378527364305	6
7	148	7.95822425754221	19
8	126	2.94392028877595	7
9	115.75	4.27200187265877	10
10	123.5	6.2449979983984	15
11	99.75	4.34932945023330	10
12	90.25	7.36545993132812	15
13	100.75	8.22090830342568	20
14	86	2.44948974278318	5
15	85.5	8.2663978450915	18
16	101.75	12.0933866224478	29
17	83	1.82574185835055	4
18	79.75	3.59397644214130	8
19	97	9.01849950564579	22
20	77.75	3.86221007541882	8
21	70.75	3.685557397916	9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 170.25 & 1.70782512765993 & 4 \tabularnewline
2 & 166.25 & 1.25830573921179 & 3 \tabularnewline
3 & 170 & 1.41421356237310 & 3 \tabularnewline
4 & 165.5 & 9.67815409397198 & 21 \tabularnewline
5 & 145.75 & 3.59397644214130 & 8 \tabularnewline
6 & 147.25 & 2.75378527364305 & 6 \tabularnewline
7 & 148 & 7.95822425754221 & 19 \tabularnewline
8 & 126 & 2.94392028877595 & 7 \tabularnewline
9 & 115.75 & 4.27200187265877 & 10 \tabularnewline
10 & 123.5 & 6.2449979983984 & 15 \tabularnewline
11 & 99.75 & 4.34932945023330 & 10 \tabularnewline
12 & 90.25 & 7.36545993132812 & 15 \tabularnewline
13 & 100.75 & 8.22090830342568 & 20 \tabularnewline
14 & 86 & 2.44948974278318 & 5 \tabularnewline
15 & 85.5 & 8.2663978450915 & 18 \tabularnewline
16 & 101.75 & 12.0933866224478 & 29 \tabularnewline
17 & 83 & 1.82574185835055 & 4 \tabularnewline
18 & 79.75 & 3.59397644214130 & 8 \tabularnewline
19 & 97 & 9.01849950564579 & 22 \tabularnewline
20 & 77.75 & 3.86221007541882 & 8 \tabularnewline
21 & 70.75 & 3.685557397916 & 9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78781&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]170.25[/C][C]1.70782512765993[/C][C]4[/C][/ROW]
[ROW][C]2[/C][C]166.25[/C][C]1.25830573921179[/C][C]3[/C][/ROW]
[ROW][C]3[/C][C]170[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]4[/C][C]165.5[/C][C]9.67815409397198[/C][C]21[/C][/ROW]
[ROW][C]5[/C][C]145.75[/C][C]3.59397644214130[/C][C]8[/C][/ROW]
[ROW][C]6[/C][C]147.25[/C][C]2.75378527364305[/C][C]6[/C][/ROW]
[ROW][C]7[/C][C]148[/C][C]7.95822425754221[/C][C]19[/C][/ROW]
[ROW][C]8[/C][C]126[/C][C]2.94392028877595[/C][C]7[/C][/ROW]
[ROW][C]9[/C][C]115.75[/C][C]4.27200187265877[/C][C]10[/C][/ROW]
[ROW][C]10[/C][C]123.5[/C][C]6.2449979983984[/C][C]15[/C][/ROW]
[ROW][C]11[/C][C]99.75[/C][C]4.34932945023330[/C][C]10[/C][/ROW]
[ROW][C]12[/C][C]90.25[/C][C]7.36545993132812[/C][C]15[/C][/ROW]
[ROW][C]13[/C][C]100.75[/C][C]8.22090830342568[/C][C]20[/C][/ROW]
[ROW][C]14[/C][C]86[/C][C]2.44948974278318[/C][C]5[/C][/ROW]
[ROW][C]15[/C][C]85.5[/C][C]8.2663978450915[/C][C]18[/C][/ROW]
[ROW][C]16[/C][C]101.75[/C][C]12.0933866224478[/C][C]29[/C][/ROW]
[ROW][C]17[/C][C]83[/C][C]1.82574185835055[/C][C]4[/C][/ROW]
[ROW][C]18[/C][C]79.75[/C][C]3.59397644214130[/C][C]8[/C][/ROW]
[ROW][C]19[/C][C]97[/C][C]9.01849950564579[/C][C]22[/C][/ROW]
[ROW][C]20[/C][C]77.75[/C][C]3.86221007541882[/C][C]8[/C][/ROW]
[ROW][C]21[/C][C]70.75[/C][C]3.685557397916[/C][C]9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78781&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78781&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	170.25	1.70782512765993	4
2	166.25	1.25830573921179	3
3	170	1.41421356237310	3
4	165.5	9.67815409397198	21
5	145.75	3.59397644214130	8
6	147.25	2.75378527364305	6
7	148	7.95822425754221	19
8	126	2.94392028877595	7
9	115.75	4.27200187265877	10
10	123.5	6.2449979983984	15
11	99.75	4.34932945023330	10
12	90.25	7.36545993132812	15
13	100.75	8.22090830342568	20
14	86	2.44948974278318	5
15	85.5	8.2663978450915	18
16	101.75	12.0933866224478	29
17	83	1.82574185835055	4
18	79.75	3.59397644214130	8
19	97	9.01849950564579	22
20	77.75	3.86221007541882	8
21	70.75	3.685557397916	9

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	7.07166851478005
beta	-0.0171184154169445
S.D.	0.0206916812085742
T-STAT	-0.827309064178455
p-value	0.418331837846108

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7.07166851478005 \tabularnewline
beta & -0.0171184154169445 \tabularnewline
S.D. & 0.0206916812085742 \tabularnewline
T-STAT & -0.827309064178455 \tabularnewline
p-value & 0.418331837846108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78781&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.07166851478005[/C][/ROW]
[ROW][C]beta[/C][C]-0.0171184154169445[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0206916812085742[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.827309064178455[/C][/ROW]
[ROW][C]p-value[/C][C]0.418331837846108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78781&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78781&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	7.07166851478005
beta	-0.0171184154169445
S.D.	0.0206916812085742
T-STAT	-0.827309064178455
p-value	0.418331837846108

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.25203744849898
beta	-0.599106176960662
S.D.	0.510008102549603
T-STAT	-1.17469933117855
p-value	0.254627936706363
Lambda	1.59910617696066

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.25203744849898 \tabularnewline
beta & -0.599106176960662 \tabularnewline
S.D. & 0.510008102549603 \tabularnewline
T-STAT & -1.17469933117855 \tabularnewline
p-value & 0.254627936706363 \tabularnewline
Lambda & 1.59910617696066 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78781&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.25203744849898[/C][/ROW]
[ROW][C]beta[/C][C]-0.599106176960662[/C][/ROW]
[ROW][C]S.D.[/C][C]0.510008102549603[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.17469933117855[/C][/ROW]
[ROW][C]p-value[/C][C]0.254627936706363[/C][/ROW]
[ROW][C]Lambda[/C][C]1.59910617696066[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78781&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78781&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	4.25203744849898
beta	-0.599106176960662
S.D.	0.510008102549603
T-STAT	-1.17469933117855
p-value	0.254627936706363
Lambda	1.59910617696066

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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