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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 19 May 2010 16:53:00 +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/May/19/t12742880751463d4tb8zr8ivn.htm/, Retrieved Mon, 29 Apr 2024 10:08:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76205, Retrieved Mon, 29 Apr 2024 10:08:34 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

168

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

-       [Standard Deviation-Mean Plot] [Maandelijkse cijf...] [2010-05-19 16:53:00] [26ddb8a30b965ed6738d4d4bc4c527d5] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76205&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76205&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	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	569.25	10.0457287772798	22
2	575.25	26.9861075370273	61
3	532.5	5.91607978309962	13
4	513	11.6045967903528	26
5	514.5	25.2124307964676	56
6	490	16.062378404209	39
7	517	7.25718035235908	17
8	540.25	29.0674502952472	66
9	529.5	15.7162336455017	38
10	568	13.8323292808310	31
11	609.75	24.6627249102770	53
12	579.25	7.8049129826454	17
13	599.25	8.65544144839919	19
14	611.75	28.7213625489228	60
15	578.25	10.0457287772798	22
16	597.75	8.9953691790091	20
17	590.25	32.6330609454073	70
18	549.25	10.7819293264239	24

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 569.25 & 10.0457287772798 & 22 \tabularnewline
2 & 575.25 & 26.9861075370273 & 61 \tabularnewline
3 & 532.5 & 5.91607978309962 & 13 \tabularnewline
4 & 513 & 11.6045967903528 & 26 \tabularnewline
5 & 514.5 & 25.2124307964676 & 56 \tabularnewline
6 & 490 & 16.062378404209 & 39 \tabularnewline
7 & 517 & 7.25718035235908 & 17 \tabularnewline
8 & 540.25 & 29.0674502952472 & 66 \tabularnewline
9 & 529.5 & 15.7162336455017 & 38 \tabularnewline
10 & 568 & 13.8323292808310 & 31 \tabularnewline
11 & 609.75 & 24.6627249102770 & 53 \tabularnewline
12 & 579.25 & 7.8049129826454 & 17 \tabularnewline
13 & 599.25 & 8.65544144839919 & 19 \tabularnewline
14 & 611.75 & 28.7213625489228 & 60 \tabularnewline
15 & 578.25 & 10.0457287772798 & 22 \tabularnewline
16 & 597.75 & 8.9953691790091 & 20 \tabularnewline
17 & 590.25 & 32.6330609454073 & 70 \tabularnewline
18 & 549.25 & 10.7819293264239 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76205&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]569.25[/C][C]10.0457287772798[/C][C]22[/C][/ROW]
[ROW][C]2[/C][C]575.25[/C][C]26.9861075370273[/C][C]61[/C][/ROW]
[ROW][C]3[/C][C]532.5[/C][C]5.91607978309962[/C][C]13[/C][/ROW]
[ROW][C]4[/C][C]513[/C][C]11.6045967903528[/C][C]26[/C][/ROW]
[ROW][C]5[/C][C]514.5[/C][C]25.2124307964676[/C][C]56[/C][/ROW]
[ROW][C]6[/C][C]490[/C][C]16.062378404209[/C][C]39[/C][/ROW]
[ROW][C]7[/C][C]517[/C][C]7.25718035235908[/C][C]17[/C][/ROW]
[ROW][C]8[/C][C]540.25[/C][C]29.0674502952472[/C][C]66[/C][/ROW]
[ROW][C]9[/C][C]529.5[/C][C]15.7162336455017[/C][C]38[/C][/ROW]
[ROW][C]10[/C][C]568[/C][C]13.8323292808310[/C][C]31[/C][/ROW]
[ROW][C]11[/C][C]609.75[/C][C]24.6627249102770[/C][C]53[/C][/ROW]
[ROW][C]12[/C][C]579.25[/C][C]7.8049129826454[/C][C]17[/C][/ROW]
[ROW][C]13[/C][C]599.25[/C][C]8.65544144839919[/C][C]19[/C][/ROW]
[ROW][C]14[/C][C]611.75[/C][C]28.7213625489228[/C][C]60[/C][/ROW]
[ROW][C]15[/C][C]578.25[/C][C]10.0457287772798[/C][C]22[/C][/ROW]
[ROW][C]16[/C][C]597.75[/C][C]8.9953691790091[/C][C]20[/C][/ROW]
[ROW][C]17[/C][C]590.25[/C][C]32.6330609454073[/C][C]70[/C][/ROW]
[ROW][C]18[/C][C]549.25[/C][C]10.7819293264239[/C][C]24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76205&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	569.25	10.0457287772798	22
2	575.25	26.9861075370273	61
3	532.5	5.91607978309962	13
4	513	11.6045967903528	26
5	514.5	25.2124307964676	56
6	490	16.062378404209	39
7	517	7.25718035235908	17
8	540.25	29.0674502952472	66
9	529.5	15.7162336455017	38
10	568	13.8323292808310	31
11	609.75	24.6627249102770	53
12	579.25	7.8049129826454	17
13	599.25	8.65544144839919	19
14	611.75	28.7213625489228	60
15	578.25	10.0457287772798	22
16	597.75	8.9953691790091	20
17	590.25	32.6330609454073	70
18	549.25	10.7819293264239	24

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-10.4293958193841
beta	0.0478631034580744
S.D.	0.059129771962759
T-STAT	0.80945861736486
p-value	0.430125418253985

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -10.4293958193841 \tabularnewline
beta & 0.0478631034580744 \tabularnewline
S.D. & 0.059129771962759 \tabularnewline
T-STAT & 0.80945861736486 \tabularnewline
p-value & 0.430125418253985 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76205&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.4293958193841[/C][/ROW]
[ROW][C]beta[/C][C]0.0478631034580744[/C][/ROW]
[ROW][C]S.D.[/C][C]0.059129771962759[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.80945861736486[/C][/ROW]
[ROW][C]p-value[/C][C]0.430125418253985[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76205&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76205&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	-10.4293958193841
beta	0.0478631034580744
S.D.	0.059129771962759
T-STAT	0.80945861736486
p-value	0.430125418253985

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.12130696630585
beta	1.22889899515972
S.D.	2.03390497780893
T-STAT	0.604206690365435
p-value	0.554177777009845
Lambda	-0.228898995159718

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.12130696630585 \tabularnewline
beta & 1.22889899515972 \tabularnewline
S.D. & 2.03390497780893 \tabularnewline
T-STAT & 0.604206690365435 \tabularnewline
p-value & 0.554177777009845 \tabularnewline
Lambda & -0.228898995159718 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76205&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.12130696630585[/C][/ROW]
[ROW][C]beta[/C][C]1.22889899515972[/C][/ROW]
[ROW][C]S.D.[/C][C]2.03390497780893[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.604206690365435[/C][/ROW]
[ROW][C]p-value[/C][C]0.554177777009845[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.228898995159718[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76205&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76205&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	-5.12130696630585
beta	1.22889899515972
S.D.	2.03390497780893
T-STAT	0.604206690365435
p-value	0.554177777009845
Lambda	-0.228898995159718

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code