Free Statistics

of Irreproducible Research!

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 computationThu, 29 Jan 2009 09:24:54 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/29/t12332463626nrdpz6akl0xyfi.htm/, Retrieved Fri, 03 May 2024 21:02:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36998, Retrieved Fri, 03 May 2024 21:02:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact219
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Correlation: inve...] [2008-12-16 19:18:46] [5161246d1ccc1b670cc664d03050f084]
- RMPD  [Univariate Data Series] [] [2008-12-17 14:56:45] [b98453cac15ba1066b407e146608df68]
- RMP     [Standard Deviation-Mean Plot] [] [2008-12-17 19:22:22] [b98453cac15ba1066b407e146608df68]
-    D        [Standard Deviation-Mean Plot] [SDM van x] [2009-01-29 16:24:54] [924502d03698cd41cacbcd1327858815] [Current]
Feedback Forum

Post a new message
Dataseries X:
0.44
0.09
0.2
0.82
0.5
0.2
1
0.47
0.49
0.82
0.39
0.6
0.59
0.72
0.97
0.58
0.27
0.84
0.51
0.13
0.65
0.51
1.06
0.81
0.54
0.85
0.93
0.29
1.01
0.65
0.88
0.45
0.74
1.08
0.27
0.24
0.27
0.25
0.69
0.73
1.04
1.04
0.3
0.59
0.72
0.22
1.12
0.93
0.99
0.56
1
0.57
1
0.97
0.3
0.45
0.73
1.13
0.65
0.64
0.68
0.41
0.98
0.3
0.37
1.12
0.4
0.5
1.23
0.94
1.08
1.12
0.83
1.22
0.55
0.38
1.26
0.49
1.13
1.07
0.86
0.94
0.45
0.66
0.71
0.54
0.9
1.23
0.46
1.33
0.64
0.9
0.5
1.37
0.96
0.62
1.24
1.1
0.86
1.2
0.77
0.67
1.05
1.32
0.6
1.31
1.41




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36998&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36998&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36998&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.5016666666666670.2746181922508990.91
20.6366666666666670.2692526131664640.93
30.6608333333333330.2994983178988530.84
40.6583333333333330.3345236323581050.9
50.7491666666666670.2626597637917760.83
60.7608333333333330.3507254386743760.93
70.820.3113314515548870.88
80.8466666666666670.3232599104389060.91

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.501666666666667 & 0.274618192250899 & 0.91 \tabularnewline
2 & 0.636666666666667 & 0.269252613166464 & 0.93 \tabularnewline
3 & 0.660833333333333 & 0.299498317898853 & 0.84 \tabularnewline
4 & 0.658333333333333 & 0.334523632358105 & 0.9 \tabularnewline
5 & 0.749166666666667 & 0.262659763791776 & 0.83 \tabularnewline
6 & 0.760833333333333 & 0.350725438674376 & 0.93 \tabularnewline
7 & 0.82 & 0.311331451554887 & 0.88 \tabularnewline
8 & 0.846666666666667 & 0.323259910438906 & 0.91 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36998&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]0.501666666666667[/C][C]0.274618192250899[/C][C]0.91[/C][/ROW]
[ROW][C]2[/C][C]0.636666666666667[/C][C]0.269252613166464[/C][C]0.93[/C][/ROW]
[ROW][C]3[/C][C]0.660833333333333[/C][C]0.299498317898853[/C][C]0.84[/C][/ROW]
[ROW][C]4[/C][C]0.658333333333333[/C][C]0.334523632358105[/C][C]0.9[/C][/ROW]
[ROW][C]5[/C][C]0.749166666666667[/C][C]0.262659763791776[/C][C]0.83[/C][/ROW]
[ROW][C]6[/C][C]0.760833333333333[/C][C]0.350725438674376[/C][C]0.93[/C][/ROW]
[ROW][C]7[/C][C]0.82[/C][C]0.311331451554887[/C][C]0.88[/C][/ROW]
[ROW][C]8[/C][C]0.846666666666667[/C][C]0.323259910438906[/C][C]0.91[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36998&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36998&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
10.5016666666666670.2746181922508990.91
20.6366666666666670.2692526131664640.93
30.6608333333333330.2994983178988530.84
40.6583333333333330.3345236323581050.9
50.7491666666666670.2626597637917760.83
60.7608333333333330.3507254386743760.93
70.820.3113314515548870.88
80.8466666666666670.3232599104389060.91







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.211932109321496
beta0.129639836514532
S.D.0.104939066167441
T-STAT1.23538202929764
p-value0.262863545038911

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.211932109321496 \tabularnewline
beta & 0.129639836514532 \tabularnewline
S.D. & 0.104939066167441 \tabularnewline
T-STAT & 1.23538202929764 \tabularnewline
p-value & 0.262863545038911 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36998&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.211932109321496[/C][/ROW]
[ROW][C]beta[/C][C]0.129639836514532[/C][/ROW]
[ROW][C]S.D.[/C][C]0.104939066167441[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.23538202929764[/C][/ROW]
[ROW][C]p-value[/C][C]0.262863545038911[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36998&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36998&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)
alpha0.211932109321496
beta0.129639836514532
S.D.0.104939066167441
T-STAT1.23538202929764
p-value0.262863545038911







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.09386068399453
beta0.287910586117395
S.D.0.230466579841897
T-STAT1.24925091661839
p-value0.258098967374036
Lambda0.712089413882605

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.09386068399453 \tabularnewline
beta & 0.287910586117395 \tabularnewline
S.D. & 0.230466579841897 \tabularnewline
T-STAT & 1.24925091661839 \tabularnewline
p-value & 0.258098967374036 \tabularnewline
Lambda & 0.712089413882605 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36998&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.09386068399453[/C][/ROW]
[ROW][C]beta[/C][C]0.287910586117395[/C][/ROW]
[ROW][C]S.D.[/C][C]0.230466579841897[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.24925091661839[/C][/ROW]
[ROW][C]p-value[/C][C]0.258098967374036[/C][/ROW]
[ROW][C]Lambda[/C][C]0.712089413882605[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36998&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36998&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-1.09386068399453
beta0.287910586117395
S.D.0.230466579841897
T-STAT1.24925091661839
p-value0.258098967374036
Lambda0.712089413882605



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')