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, 24 Jan 2020 09:46:38 +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/2020/Jan/24/t1579855706d8me0pw2d0hzt3e.htm/, Retrieved Fri, 26 Apr 2024 07:31:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319031, Retrieved Fri, 26 Apr 2024 07:31:47 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

Beta is significant verschillend van 0 --> kleine p-waarde

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

138

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

-       [Standard Deviation-Mean Plot] [TS1 lambda] [2020-01-24 08:46:38] [9d8d6fac8ef3a05a79a41723155b7177] [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=319031&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=319031&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319031&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	70.6916666666667	5.82868429459519	16.5
2	74.2416666666667	4.73103070325606	14.6
3	74.6083333333333	4.18926297126645	14.7
4	76.5166666666667	4.69174000157982	16.7
5	82.6083333333333	6.33280898945876	15
6	85.2083333333333	6.03150189849221	17.9
7	90.2916666666667	6.67402813263111	20.3
8	96.2666666666667	6.10742221076995	19.7
9	100.1	6.08843911927277	19.8
10	89.8833333333333	5.09577959658477	13.8
11	100.008333333333	7.11368186644368	19
12	104.558333333333	7.38012790395857	29.6
13	102.383333333333	6.12548080982343	21.6
14	103.091666666667	5.43146695960984	20.4
15	103.983333333333	6.21330439582285	22.4
16	104.233333333333	6.93663965454237	21.8
17	108.908333333333	5.868011639905	18.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 70.6916666666667 & 5.82868429459519 & 16.5 \tabularnewline
2 & 74.2416666666667 & 4.73103070325606 & 14.6 \tabularnewline
3 & 74.6083333333333 & 4.18926297126645 & 14.7 \tabularnewline
4 & 76.5166666666667 & 4.69174000157982 & 16.7 \tabularnewline
5 & 82.6083333333333 & 6.33280898945876 & 15 \tabularnewline
6 & 85.2083333333333 & 6.03150189849221 & 17.9 \tabularnewline
7 & 90.2916666666667 & 6.67402813263111 & 20.3 \tabularnewline
8 & 96.2666666666667 & 6.10742221076995 & 19.7 \tabularnewline
9 & 100.1 & 6.08843911927277 & 19.8 \tabularnewline
10 & 89.8833333333333 & 5.09577959658477 & 13.8 \tabularnewline
11 & 100.008333333333 & 7.11368186644368 & 19 \tabularnewline
12 & 104.558333333333 & 7.38012790395857 & 29.6 \tabularnewline
13 & 102.383333333333 & 6.12548080982343 & 21.6 \tabularnewline
14 & 103.091666666667 & 5.43146695960984 & 20.4 \tabularnewline
15 & 103.983333333333 & 6.21330439582285 & 22.4 \tabularnewline
16 & 104.233333333333 & 6.93663965454237 & 21.8 \tabularnewline
17 & 108.908333333333 & 5.868011639905 & 18.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319031&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]70.6916666666667[/C][C]5.82868429459519[/C][C]16.5[/C][/ROW]
[ROW][C]2[/C][C]74.2416666666667[/C][C]4.73103070325606[/C][C]14.6[/C][/ROW]
[ROW][C]3[/C][C]74.6083333333333[/C][C]4.18926297126645[/C][C]14.7[/C][/ROW]
[ROW][C]4[/C][C]76.5166666666667[/C][C]4.69174000157982[/C][C]16.7[/C][/ROW]
[ROW][C]5[/C][C]82.6083333333333[/C][C]6.33280898945876[/C][C]15[/C][/ROW]
[ROW][C]6[/C][C]85.2083333333333[/C][C]6.03150189849221[/C][C]17.9[/C][/ROW]
[ROW][C]7[/C][C]90.2916666666667[/C][C]6.67402813263111[/C][C]20.3[/C][/ROW]
[ROW][C]8[/C][C]96.2666666666667[/C][C]6.10742221076995[/C][C]19.7[/C][/ROW]
[ROW][C]9[/C][C]100.1[/C][C]6.08843911927277[/C][C]19.8[/C][/ROW]
[ROW][C]10[/C][C]89.8833333333333[/C][C]5.09577959658477[/C][C]13.8[/C][/ROW]
[ROW][C]11[/C][C]100.008333333333[/C][C]7.11368186644368[/C][C]19[/C][/ROW]
[ROW][C]12[/C][C]104.558333333333[/C][C]7.38012790395857[/C][C]29.6[/C][/ROW]
[ROW][C]13[/C][C]102.383333333333[/C][C]6.12548080982343[/C][C]21.6[/C][/ROW]
[ROW][C]14[/C][C]103.091666666667[/C][C]5.43146695960984[/C][C]20.4[/C][/ROW]
[ROW][C]15[/C][C]103.983333333333[/C][C]6.21330439582285[/C][C]22.4[/C][/ROW]
[ROW][C]16[/C][C]104.233333333333[/C][C]6.93663965454237[/C][C]21.8[/C][/ROW]
[ROW][C]17[/C][C]108.908333333333[/C][C]5.868011639905[/C][C]18.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319031&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319031&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	70.6916666666667	5.82868429459519	16.5
2	74.2416666666667	4.73103070325606	14.6
3	74.6083333333333	4.18926297126645	14.7
4	76.5166666666667	4.69174000157982	16.7
5	82.6083333333333	6.33280898945876	15
6	85.2083333333333	6.03150189849221	17.9
7	90.2916666666667	6.67402813263111	20.3
8	96.2666666666667	6.10742221076995	19.7
9	100.1	6.08843911927277	19.8
10	89.8833333333333	5.09577959658477	13.8
11	100.008333333333	7.11368186644368	19
12	104.558333333333	7.38012790395857	29.6
13	102.383333333333	6.12548080982343	21.6
14	103.091666666667	5.43146695960984	20.4
15	103.983333333333	6.21330439582285	22.4
16	104.233333333333	6.93663965454237	21.8
17	108.908333333333	5.868011639905	18.7

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.98921058330231
beta	0.0427555140493585
S.D.	0.0141223945174694
T-STAT	3.02749749672196
p-value	0.00848392277037173

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.98921058330231 \tabularnewline
beta & 0.0427555140493585 \tabularnewline
S.D. & 0.0141223945174694 \tabularnewline
T-STAT & 3.02749749672196 \tabularnewline
p-value & 0.00848392277037173 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319031&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.98921058330231[/C][/ROW]
[ROW][C]beta[/C][C]0.0427555140493585[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0141223945174694[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.02749749672196[/C][/ROW]
[ROW][C]p-value[/C][C]0.00848392277037173[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319031&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319031&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	1.98921058330231
beta	0.0427555140493585
S.D.	0.0141223945174694
T-STAT	3.02749749672196
p-value	0.00848392277037173

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.33051396841463
beta	0.6866143378746
S.D.	0.216962015325786
T-STAT	3.16467533196349
p-value	0.00641098730156107
Lambda	0.3133856621254

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.33051396841463 \tabularnewline
beta & 0.6866143378746 \tabularnewline
S.D. & 0.216962015325786 \tabularnewline
T-STAT & 3.16467533196349 \tabularnewline
p-value & 0.00641098730156107 \tabularnewline
Lambda & 0.3133856621254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319031&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.33051396841463[/C][/ROW]
[ROW][C]beta[/C][C]0.6866143378746[/C][/ROW]
[ROW][C]S.D.[/C][C]0.216962015325786[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.16467533196349[/C][/ROW]
[ROW][C]p-value[/C][C]0.00641098730156107[/C][/ROW]
[ROW][C]Lambda[/C][C]0.3133856621254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319031&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319031&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	-1.33051396841463
beta	0.6866143378746
S.D.	0.216962015325786
T-STAT	3.16467533196349
p-value	0.00641098730156107
Lambda	0.3133856621254

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