Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 03 Dec 2013 07:33:21 -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/03/t1386074110316j9utur9yi63e.htm/, Retrieved Thu, 28 Mar 2024 09:28:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230238, Retrieved Thu, 28 Mar 2024 09:28:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation Plot] [] [2013-12-02 09:11:50] [d2a97e7888fceb17f0b9d57dc11e6fdc]
- RM D    [Standard Deviation-Mean Plot] [] [2013-12-03 12:33:21] [df14db71c8d078cdcecf2ce9850db3a5] [Current]
Feedback Forum

Post a new message
Dataseries X:
106.68
109.73
108.06
111.33
105.66
103.65
100.34
100.56
102.67
101.5
102.35
104.98
106.31
103.73
106.62
108.54
105.12
105.29
104.62
104.34
108.23
107.6
106.87
107.96
108.34
109.04
106.95
105.59
108.08
108.48
106.84
105.6
106.9
106.84
106.81
106.98
107.53
107.37
106.98
108.94
106.38
109.02
106.53
105.02
109.7
108.39
110.18
109.54
109.1
110.85
112.23
110.58
110.77
108.08
108.05
108.87
109.61
111.27
107.61
110.98
106.63
106.83
108.77
106.12
106.8
106.34
105.16
107.97
106.76
108.78
105.58
109.22
105.67
109.04
106.59
109.66
108.05
109.91
107.63
107.15
103.8
103.43
103.59
107.63




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230238&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230238&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230238&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'Herman Ole Andreas Wold' @ wold.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1104.79253.5992451860203810.99
2106.2691666666671.631660940343434.81
3107.2041666666671.081333001718743.45
4107.9651.578241253593845.16000000000001
5109.8333333333331.486443793594354.62
6107.081.313191809018294.06
7106.8458333333332.294041524286676.47999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 104.7925 & 3.59924518602038 & 10.99 \tabularnewline
2 & 106.269166666667 & 1.63166094034343 & 4.81 \tabularnewline
3 & 107.204166666667 & 1.08133300171874 & 3.45 \tabularnewline
4 & 107.965 & 1.57824125359384 & 5.16000000000001 \tabularnewline
5 & 109.833333333333 & 1.48644379359435 & 4.62 \tabularnewline
6 & 107.08 & 1.31319180901829 & 4.06 \tabularnewline
7 & 106.845833333333 & 2.29404152428667 & 6.47999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230238&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]104.7925[/C][C]3.59924518602038[/C][C]10.99[/C][/ROW]
[ROW][C]2[/C][C]106.269166666667[/C][C]1.63166094034343[/C][C]4.81[/C][/ROW]
[ROW][C]3[/C][C]107.204166666667[/C][C]1.08133300171874[/C][C]3.45[/C][/ROW]
[ROW][C]4[/C][C]107.965[/C][C]1.57824125359384[/C][C]5.16000000000001[/C][/ROW]
[ROW][C]5[/C][C]109.833333333333[/C][C]1.48644379359435[/C][C]4.62[/C][/ROW]
[ROW][C]6[/C][C]107.08[/C][C]1.31319180901829[/C][C]4.06[/C][/ROW]
[ROW][C]7[/C][C]106.845833333333[/C][C]2.29404152428667[/C][C]6.47999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230238&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230238&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
1104.79253.5992451860203810.99
2106.2691666666671.631660940343434.81
3107.2041666666671.081333001718743.45
4107.9651.578241253593845.16000000000001
5109.8333333333331.486443793594354.62
6107.081.313191809018294.06
7106.8458333333332.294041524286676.47999999999999







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha41.3257242806436
beta-0.368399461934065
S.D.0.185087955469962
T-STAT-1.99040213610146
p-value0.103196962208548

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 41.3257242806436 \tabularnewline
beta & -0.368399461934065 \tabularnewline
S.D. & 0.185087955469962 \tabularnewline
T-STAT & -1.99040213610146 \tabularnewline
p-value & 0.103196962208548 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230238&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]41.3257242806436[/C][/ROW]
[ROW][C]beta[/C][C]-0.368399461934065[/C][/ROW]
[ROW][C]S.D.[/C][C]0.185087955469962[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.99040213610146[/C][/ROW]
[ROW][C]p-value[/C][C]0.103196962208548[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230238&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230238&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)
alpha41.3257242806436
beta-0.368399461934065
S.D.0.185087955469962
T-STAT-1.99040213610146
p-value0.103196962208548







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha80.1334253484685
beta-17.0280187667208
S.D.9.73591345119362
T-STAT-1.74899035946475
p-value0.140705302496447
Lambda18.0280187667208

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 80.1334253484685 \tabularnewline
beta & -17.0280187667208 \tabularnewline
S.D. & 9.73591345119362 \tabularnewline
T-STAT & -1.74899035946475 \tabularnewline
p-value & 0.140705302496447 \tabularnewline
Lambda & 18.0280187667208 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230238&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]80.1334253484685[/C][/ROW]
[ROW][C]beta[/C][C]-17.0280187667208[/C][/ROW]
[ROW][C]S.D.[/C][C]9.73591345119362[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.74899035946475[/C][/ROW]
[ROW][C]p-value[/C][C]0.140705302496447[/C][/ROW]
[ROW][C]Lambda[/C][C]18.0280187667208[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230238&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230238&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)
alpha80.1334253484685
beta-17.0280187667208
S.D.9.73591345119362
T-STAT-1.74899035946475
p-value0.140705302496447
Lambda18.0280187667208



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')