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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 04 Dec 2013 18:05:06 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/04/t13861983494h3ku03h0lw4cpp.htm/, Retrieved Fri, 29 Mar 2024 15:42:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230850, Retrieved Fri, 29 Mar 2024 15:42:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [Workshop 9: ACF] [2010-12-04 15:14:11] [87d60b8864dc39f7ed759c345edfb471]
-    D  [(Partial) Autocorrelation Function] [] [2010-12-07 08:48:25] [1251ac2db27b84d4a3ba43449388906b]
- RMP     [Spectral Analysis] [] [2013-12-04 22:39:59] [95c11abf048d3a1e472aeccb09199113]
- RMP         [Standard Deviation-Mean Plot] [] [2013-12-04 23:05:06] [0d95bc223fb54d4a417cab286c0d6b3b] [Current]
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Dataseries X:
46
62
66
59
58
61
41
27
58
70
49
59
44
36
72
45
56
54
53
35
61
52
47
51
52
63
74
45
51
64
36
30
55
64
39
40
63
45
59
55
40
64
27
28
45
57
45
69
60
56
58
50
51
53
37
22
55
70
62
58
39
49
58
47
42
62
39
40
72
70
54
64




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230850&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230850&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230850&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
154.666666666666711.972189997378643
250.510.264679067736937
351.083333333333313.466850433789744
449.7513.712137954116742
552.666666666666712.470571418950848
65312.105596001248933

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 54.6666666666667 & 11.9721899973786 & 43 \tabularnewline
2 & 50.5 & 10.2646790677369 & 37 \tabularnewline
3 & 51.0833333333333 & 13.4668504337897 & 44 \tabularnewline
4 & 49.75 & 13.7121379541167 & 42 \tabularnewline
5 & 52.6666666666667 & 12.4705714189508 & 48 \tabularnewline
6 & 53 & 12.1055960012489 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230850&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]54.6666666666667[/C][C]11.9721899973786[/C][C]43[/C][/ROW]
[ROW][C]2[/C][C]50.5[/C][C]10.2646790677369[/C][C]37[/C][/ROW]
[ROW][C]3[/C][C]51.0833333333333[/C][C]13.4668504337897[/C][C]44[/C][/ROW]
[ROW][C]4[/C][C]49.75[/C][C]13.7121379541167[/C][C]42[/C][/ROW]
[ROW][C]5[/C][C]52.6666666666667[/C][C]12.4705714189508[/C][C]48[/C][/ROW]
[ROW][C]6[/C][C]53[/C][C]12.1055960012489[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230850&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230850&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
SectionMeanStandard DeviationRange
154.666666666666711.972189997378643
250.510.264679067736937
351.083333333333313.466850433789744
449.7513.712137954116742
552.666666666666712.470571418950848
65312.105596001248933







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha18.9865801509662
beta-0.128109484596499
S.D.0.332766565571266
T-STAT-0.384983041720467
p-value0.719844583504965

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 18.9865801509662 \tabularnewline
beta & -0.128109484596499 \tabularnewline
S.D. & 0.332766565571266 \tabularnewline
T-STAT & -0.384983041720467 \tabularnewline
p-value & 0.719844583504965 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230850&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.9865801509662[/C][/ROW]
[ROW][C]beta[/C][C]-0.128109484596499[/C][/ROW]
[ROW][C]S.D.[/C][C]0.332766565571266[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.384983041720467[/C][/ROW]
[ROW][C]p-value[/C][C]0.719844583504965[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230850&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230850&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)
alpha18.9865801509662
beta-0.128109484596499
S.D.0.332766565571266
T-STAT-0.384983041720467
p-value0.719844583504965







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.19327197883071
beta-0.426736310269128
S.D.1.46590016467216
T-STAT-0.291108712962431
p-value0.785439276419744
Lambda1.42673631026913

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.19327197883071 \tabularnewline
beta & -0.426736310269128 \tabularnewline
S.D. & 1.46590016467216 \tabularnewline
T-STAT & -0.291108712962431 \tabularnewline
p-value & 0.785439276419744 \tabularnewline
Lambda & 1.42673631026913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230850&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.19327197883071[/C][/ROW]
[ROW][C]beta[/C][C]-0.426736310269128[/C][/ROW]
[ROW][C]S.D.[/C][C]1.46590016467216[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.291108712962431[/C][/ROW]
[ROW][C]p-value[/C][C]0.785439276419744[/C][/ROW]
[ROW][C]Lambda[/C][C]1.42673631026913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230850&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230850&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)
alpha4.19327197883071
beta-0.426736310269128
S.D.1.46590016467216
T-STAT-0.291108712962431
p-value0.785439276419744
Lambda1.42673631026913



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')