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

Fri, 20 May 2011 03:51:24 +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/2011/May/20/t1305863254vqgdxfxtdvstipc.htm/, Retrieved Mon, 13 May 2024 10:44:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122388, Retrieved Mon, 13 May 2024 10:44:53 +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

KDGP2W83

Estimated Impact

101

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

-       [Standard Deviation-Mean Plot] [] [2011-05-20 03:51:24] [e142b37b6acbb6a3ec873415888faca6] [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	'Herman Ole Andreas Wold' @ www.yougetit.org

\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 & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122388&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]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122388&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122388&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	'Herman Ole Andreas Wold' @ www.yougetit.org

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	107.75	7.13559154286922	16
2	110.5	22.8837642591132	48
3	120	11.2842072532072	25
4	103.5	4.93288286231625	11
5	111.25	23.3005722390388	48
6	125.75	12.3389626792531	26
7	108.25	4.27200187265877	10
8	120.25	26.08160271149	50
9	136	8.75595035770913	19
10	120.5	5.68624070307733	13
11	132.25	26.5	51
12	145.25	9.84462628374824	21
13	128.75	7.18215380880508	16
14	136.25	24.8243831746128	48
15	146	11.6045967903528	26
16	124	5.71547606649408	13
17	132.75	23.6132025217532	45
18	143.25	11.0867789130417	25
19	119.75	5.1234753829798	11
20	129.25	20.6458228220626	39
21	130.5	14.3874945699382	33
22	108.75	6.65206734782504	15
23	110.5	19.226717521893	37
24	112.5	8.88819441731559	19
25	98.5	5.5075705472861	12
26	101.75	18.8745860881769	36
27	109.5	5.25991127935317	12
28	108.25	0.957427107756338	2
29	117.5	19.2786583212283	38
30	124.5	7.41619848709566	17
31	114.75	6.13052471924984	14
32	117	18.6547581061776	36
33	118.5	10.7238052947636	24

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 107.75 & 7.13559154286922 & 16 \tabularnewline
2 & 110.5 & 22.8837642591132 & 48 \tabularnewline
3 & 120 & 11.2842072532072 & 25 \tabularnewline
4 & 103.5 & 4.93288286231625 & 11 \tabularnewline
5 & 111.25 & 23.3005722390388 & 48 \tabularnewline
6 & 125.75 & 12.3389626792531 & 26 \tabularnewline
7 & 108.25 & 4.27200187265877 & 10 \tabularnewline
8 & 120.25 & 26.08160271149 & 50 \tabularnewline
9 & 136 & 8.75595035770913 & 19 \tabularnewline
10 & 120.5 & 5.68624070307733 & 13 \tabularnewline
11 & 132.25 & 26.5 & 51 \tabularnewline
12 & 145.25 & 9.84462628374824 & 21 \tabularnewline
13 & 128.75 & 7.18215380880508 & 16 \tabularnewline
14 & 136.25 & 24.8243831746128 & 48 \tabularnewline
15 & 146 & 11.6045967903528 & 26 \tabularnewline
16 & 124 & 5.71547606649408 & 13 \tabularnewline
17 & 132.75 & 23.6132025217532 & 45 \tabularnewline
18 & 143.25 & 11.0867789130417 & 25 \tabularnewline
19 & 119.75 & 5.1234753829798 & 11 \tabularnewline
20 & 129.25 & 20.6458228220626 & 39 \tabularnewline
21 & 130.5 & 14.3874945699382 & 33 \tabularnewline
22 & 108.75 & 6.65206734782504 & 15 \tabularnewline
23 & 110.5 & 19.226717521893 & 37 \tabularnewline
24 & 112.5 & 8.88819441731559 & 19 \tabularnewline
25 & 98.5 & 5.5075705472861 & 12 \tabularnewline
26 & 101.75 & 18.8745860881769 & 36 \tabularnewline
27 & 109.5 & 5.25991127935317 & 12 \tabularnewline
28 & 108.25 & 0.957427107756338 & 2 \tabularnewline
29 & 117.5 & 19.2786583212283 & 38 \tabularnewline
30 & 124.5 & 7.41619848709566 & 17 \tabularnewline
31 & 114.75 & 6.13052471924984 & 14 \tabularnewline
32 & 117 & 18.6547581061776 & 36 \tabularnewline
33 & 118.5 & 10.7238052947636 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122388&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]107.75[/C][C]7.13559154286922[/C][C]16[/C][/ROW]
[ROW][C]2[/C][C]110.5[/C][C]22.8837642591132[/C][C]48[/C][/ROW]
[ROW][C]3[/C][C]120[/C][C]11.2842072532072[/C][C]25[/C][/ROW]
[ROW][C]4[/C][C]103.5[/C][C]4.93288286231625[/C][C]11[/C][/ROW]
[ROW][C]5[/C][C]111.25[/C][C]23.3005722390388[/C][C]48[/C][/ROW]
[ROW][C]6[/C][C]125.75[/C][C]12.3389626792531[/C][C]26[/C][/ROW]
[ROW][C]7[/C][C]108.25[/C][C]4.27200187265877[/C][C]10[/C][/ROW]
[ROW][C]8[/C][C]120.25[/C][C]26.08160271149[/C][C]50[/C][/ROW]
[ROW][C]9[/C][C]136[/C][C]8.75595035770913[/C][C]19[/C][/ROW]
[ROW][C]10[/C][C]120.5[/C][C]5.68624070307733[/C][C]13[/C][/ROW]
[ROW][C]11[/C][C]132.25[/C][C]26.5[/C][C]51[/C][/ROW]
[ROW][C]12[/C][C]145.25[/C][C]9.84462628374824[/C][C]21[/C][/ROW]
[ROW][C]13[/C][C]128.75[/C][C]7.18215380880508[/C][C]16[/C][/ROW]
[ROW][C]14[/C][C]136.25[/C][C]24.8243831746128[/C][C]48[/C][/ROW]
[ROW][C]15[/C][C]146[/C][C]11.6045967903528[/C][C]26[/C][/ROW]
[ROW][C]16[/C][C]124[/C][C]5.71547606649408[/C][C]13[/C][/ROW]
[ROW][C]17[/C][C]132.75[/C][C]23.6132025217532[/C][C]45[/C][/ROW]
[ROW][C]18[/C][C]143.25[/C][C]11.0867789130417[/C][C]25[/C][/ROW]
[ROW][C]19[/C][C]119.75[/C][C]5.1234753829798[/C][C]11[/C][/ROW]
[ROW][C]20[/C][C]129.25[/C][C]20.6458228220626[/C][C]39[/C][/ROW]
[ROW][C]21[/C][C]130.5[/C][C]14.3874945699382[/C][C]33[/C][/ROW]
[ROW][C]22[/C][C]108.75[/C][C]6.65206734782504[/C][C]15[/C][/ROW]
[ROW][C]23[/C][C]110.5[/C][C]19.226717521893[/C][C]37[/C][/ROW]
[ROW][C]24[/C][C]112.5[/C][C]8.88819441731559[/C][C]19[/C][/ROW]
[ROW][C]25[/C][C]98.5[/C][C]5.5075705472861[/C][C]12[/C][/ROW]
[ROW][C]26[/C][C]101.75[/C][C]18.8745860881769[/C][C]36[/C][/ROW]
[ROW][C]27[/C][C]109.5[/C][C]5.25991127935317[/C][C]12[/C][/ROW]
[ROW][C]28[/C][C]108.25[/C][C]0.957427107756338[/C][C]2[/C][/ROW]
[ROW][C]29[/C][C]117.5[/C][C]19.2786583212283[/C][C]38[/C][/ROW]
[ROW][C]30[/C][C]124.5[/C][C]7.41619848709566[/C][C]17[/C][/ROW]
[ROW][C]31[/C][C]114.75[/C][C]6.13052471924984[/C][C]14[/C][/ROW]
[ROW][C]32[/C][C]117[/C][C]18.6547581061776[/C][C]36[/C][/ROW]
[ROW][C]33[/C][C]118.5[/C][C]10.7238052947636[/C][C]24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122388&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122388&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	107.75	7.13559154286922	16
2	110.5	22.8837642591132	48
3	120	11.2842072532072	25
4	103.5	4.93288286231625	11
5	111.25	23.3005722390388	48
6	125.75	12.3389626792531	26
7	108.25	4.27200187265877	10
8	120.25	26.08160271149	50
9	136	8.75595035770913	19
10	120.5	5.68624070307733	13
11	132.25	26.5	51
12	145.25	9.84462628374824	21
13	128.75	7.18215380880508	16
14	136.25	24.8243831746128	48
15	146	11.6045967903528	26
16	124	5.71547606649408	13
17	132.75	23.6132025217532	45
18	143.25	11.0867789130417	25
19	119.75	5.1234753829798	11
20	129.25	20.6458228220626	39
21	130.5	14.3874945699382	33
22	108.75	6.65206734782504	15
23	110.5	19.226717521893	37
24	112.5	8.88819441731559	19
25	98.5	5.5075705472861	12
26	101.75	18.8745860881769	36
27	109.5	5.25991127935317	12
28	108.25	0.957427107756338	2
29	117.5	19.2786583212283	38
30	124.5	7.41619848709566	17
31	114.75	6.13052471924984	14
32	117	18.6547581061776	36
33	118.5	10.7238052947636	24

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-3.88151274821615
beta	0.136611544949676
S.D.	0.104482927546556
T-STAT	1.30750112154738
p-value	0.200657171676416

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3.88151274821615 \tabularnewline
beta & 0.136611544949676 \tabularnewline
S.D. & 0.104482927546556 \tabularnewline
T-STAT & 1.30750112154738 \tabularnewline
p-value & 0.200657171676416 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122388&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.88151274821615[/C][/ROW]
[ROW][C]beta[/C][C]0.136611544949676[/C][/ROW]
[ROW][C]S.D.[/C][C]0.104482927546556[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.30750112154738[/C][/ROW]
[ROW][C]p-value[/C][C]0.200657171676416[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122388&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122388&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	-3.88151274821615
beta	0.136611544949676
S.D.	0.104482927546556
T-STAT	1.30750112154738
p-value	0.200657171676416

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-8.25366395018125
beta	2.20972105662358
S.D.	1.1780833519399
T-STAT	1.87569160788575
p-value	0.0701428816206355
Lambda	-1.20972105662358

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.25366395018125 \tabularnewline
beta & 2.20972105662358 \tabularnewline
S.D. & 1.1780833519399 \tabularnewline
T-STAT & 1.87569160788575 \tabularnewline
p-value & 0.0701428816206355 \tabularnewline
Lambda & -1.20972105662358 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122388&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.25366395018125[/C][/ROW]
[ROW][C]beta[/C][C]2.20972105662358[/C][/ROW]
[ROW][C]S.D.[/C][C]1.1780833519399[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.87569160788575[/C][/ROW]
[ROW][C]p-value[/C][C]0.0701428816206355[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.20972105662358[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122388&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122388&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	-8.25366395018125
beta	2.20972105662358
S.D.	1.1780833519399
T-STAT	1.87569160788575
p-value	0.0701428816206355
Lambda	-1.20972105662358

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