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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, 30 Nov 2011 15:29:39 -0500

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/Nov/30/t1322685052egsyfdxbvcbj10g.htm/, Retrieved Thu, 18 Apr 2024 23:38:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149151, Retrieved Thu, 18 Apr 2024 23:38:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

106

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

-       [Standard Deviation-Mean Plot] [stand dev mean pl...] [2011-11-30 20:29:39] [cbc0158ed4ce90347cf58cee0539a6b2] [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	12 seconds
R Server	'AstonUniversity' @ aston.wessa.net

\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 & 12 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149151&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]12 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149151&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	12 seconds
R Server	'AstonUniversity' @ aston.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	106.175	0.0580229839517623	0.129999999999995
2	106.3225	0.191724628916926	0.390000000000001
3	107.3575	0.347982279242299	0.769999999999996
4	107.86	0.162480768092718	0.359999999999999
5	108.155	0.009999999999998	0.019999999999996
6	110.2175	0.851640573638117	1.77
7	110.8075	0.0394757309410895	0.0900000000000034
8	110.865	0.0378593889720012	0.0799999999999983
9	112.5275	0.773363864339856	1.69000000000001
10	113.3	0.146515073172239	0.319999999999993
11	113.7325	0.0450000000000017	0.0900000000000034
12	117.12	1.20609562915495	2.62
13	118.3725	0.195682566077478	0.409999999999997
14	118.5475	0.00499999999999545	0.0099999999999909
15	120.9925	1.3165706716061	2.78999999999999
16	121.9425	0.0906917857360868	0.200000000000003
17	122.25	0.165529453572466	0.349999999999994
18	125.38	1.58242430045379	3.37

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 106.175 & 0.0580229839517623 & 0.129999999999995 \tabularnewline
2 & 106.3225 & 0.191724628916926 & 0.390000000000001 \tabularnewline
3 & 107.3575 & 0.347982279242299 & 0.769999999999996 \tabularnewline
4 & 107.86 & 0.162480768092718 & 0.359999999999999 \tabularnewline
5 & 108.155 & 0.009999999999998 & 0.019999999999996 \tabularnewline
6 & 110.2175 & 0.851640573638117 & 1.77 \tabularnewline
7 & 110.8075 & 0.0394757309410895 & 0.0900000000000034 \tabularnewline
8 & 110.865 & 0.0378593889720012 & 0.0799999999999983 \tabularnewline
9 & 112.5275 & 0.773363864339856 & 1.69000000000001 \tabularnewline
10 & 113.3 & 0.146515073172239 & 0.319999999999993 \tabularnewline
11 & 113.7325 & 0.0450000000000017 & 0.0900000000000034 \tabularnewline
12 & 117.12 & 1.20609562915495 & 2.62 \tabularnewline
13 & 118.3725 & 0.195682566077478 & 0.409999999999997 \tabularnewline
14 & 118.5475 & 0.00499999999999545 & 0.0099999999999909 \tabularnewline
15 & 120.9925 & 1.3165706716061 & 2.78999999999999 \tabularnewline
16 & 121.9425 & 0.0906917857360868 & 0.200000000000003 \tabularnewline
17 & 122.25 & 0.165529453572466 & 0.349999999999994 \tabularnewline
18 & 125.38 & 1.58242430045379 & 3.37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149151&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]106.175[/C][C]0.0580229839517623[/C][C]0.129999999999995[/C][/ROW]
[ROW][C]2[/C][C]106.3225[/C][C]0.191724628916926[/C][C]0.390000000000001[/C][/ROW]
[ROW][C]3[/C][C]107.3575[/C][C]0.347982279242299[/C][C]0.769999999999996[/C][/ROW]
[ROW][C]4[/C][C]107.86[/C][C]0.162480768092718[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]5[/C][C]108.155[/C][C]0.009999999999998[/C][C]0.019999999999996[/C][/ROW]
[ROW][C]6[/C][C]110.2175[/C][C]0.851640573638117[/C][C]1.77[/C][/ROW]
[ROW][C]7[/C][C]110.8075[/C][C]0.0394757309410895[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]8[/C][C]110.865[/C][C]0.0378593889720012[/C][C]0.0799999999999983[/C][/ROW]
[ROW][C]9[/C][C]112.5275[/C][C]0.773363864339856[/C][C]1.69000000000001[/C][/ROW]
[ROW][C]10[/C][C]113.3[/C][C]0.146515073172239[/C][C]0.319999999999993[/C][/ROW]
[ROW][C]11[/C][C]113.7325[/C][C]0.0450000000000017[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]12[/C][C]117.12[/C][C]1.20609562915495[/C][C]2.62[/C][/ROW]
[ROW][C]13[/C][C]118.3725[/C][C]0.195682566077478[/C][C]0.409999999999997[/C][/ROW]
[ROW][C]14[/C][C]118.5475[/C][C]0.00499999999999545[/C][C]0.0099999999999909[/C][/ROW]
[ROW][C]15[/C][C]120.9925[/C][C]1.3165706716061[/C][C]2.78999999999999[/C][/ROW]
[ROW][C]16[/C][C]121.9425[/C][C]0.0906917857360868[/C][C]0.200000000000003[/C][/ROW]
[ROW][C]17[/C][C]122.25[/C][C]0.165529453572466[/C][C]0.349999999999994[/C][/ROW]
[ROW][C]18[/C][C]125.38[/C][C]1.58242430045379[/C][C]3.37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149151&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	106.175	0.0580229839517623	0.129999999999995
2	106.3225	0.191724628916926	0.390000000000001
3	107.3575	0.347982279242299	0.769999999999996
4	107.86	0.162480768092718	0.359999999999999
5	108.155	0.009999999999998	0.019999999999996
6	110.2175	0.851640573638117	1.77
7	110.8075	0.0394757309410895	0.0900000000000034
8	110.865	0.0378593889720012	0.0799999999999983
9	112.5275	0.773363864339856	1.69000000000001
10	113.3	0.146515073172239	0.319999999999993
11	113.7325	0.0450000000000017	0.0900000000000034
12	117.12	1.20609562915495	2.62
13	118.3725	0.195682566077478	0.409999999999997
14	118.5475	0.00499999999999545	0.0099999999999909
15	120.9925	1.3165706716061	2.78999999999999
16	121.9425	0.0906917857360868	0.200000000000003
17	122.25	0.165529453572466	0.349999999999994
18	125.38	1.58242430045379	3.37

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-3.91800815217108
beta	0.0378913490682883
S.D.	0.0185864999711064
T-STAT	2.03864897249036
p-value	0.0583631834829452

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3.91800815217108 \tabularnewline
beta & 0.0378913490682883 \tabularnewline
S.D. & 0.0185864999711064 \tabularnewline
T-STAT & 2.03864897249036 \tabularnewline
p-value & 0.0583631834829452 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149151&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.91800815217108[/C][/ROW]
[ROW][C]beta[/C][C]0.0378913490682883[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185864999711064[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.03864897249036[/C][/ROW]
[ROW][C]p-value[/C][C]0.0583631834829452[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149151&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149151&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	-3.91800815217108
beta	0.0378913490682883
S.D.	0.0185864999711064
T-STAT	2.03864897249036
p-value	0.0583631834829452

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-41.112156185368
beta	8.2824848246618
S.D.	7.4926715821083
T-STAT	1.10541143221057
p-value	0.285326839073884
Lambda	-7.2824848246618

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -41.112156185368 \tabularnewline
beta & 8.2824848246618 \tabularnewline
S.D. & 7.4926715821083 \tabularnewline
T-STAT & 1.10541143221057 \tabularnewline
p-value & 0.285326839073884 \tabularnewline
Lambda & -7.2824848246618 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149151&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-41.112156185368[/C][/ROW]
[ROW][C]beta[/C][C]8.2824848246618[/C][/ROW]
[ROW][C]S.D.[/C][C]7.4926715821083[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.10541143221057[/C][/ROW]
[ROW][C]p-value[/C][C]0.285326839073884[/C][/ROW]
[ROW][C]Lambda[/C][C]-7.2824848246618[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149151&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149151&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	-41.112156185368
beta	8.2824848246618
S.D.	7.4926715821083
T-STAT	1.10541143221057
p-value	0.285326839073884
Lambda	-7.2824848246618

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