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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 11 Dec 2011 08:11:58 -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/2011/Dec/11/t132360915485y4u80kue2pb0d.htm/, Retrieved Mon, 29 Apr 2024 06:43:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=153710, Retrieved Mon, 29 Apr 2024 06:43:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Blocked Bootstrap Plot - Central Tendency] [Evolutie gemiddel...] [2011-12-04 18:09:38] [d700a6813b2ef07b7398fe84f8eae4b7]
- RMPD  [Standard Deviation-Mean Plot] [Evolutie gemiddel...] [2011-12-04 19:11:32] [d700a6813b2ef07b7398fe84f8eae4b7]
- R P       [Standard Deviation-Mean Plot] [KDGP2W83] [2011-12-11 13:11:58] [9b00bb73e1719a6b710100764835da33] [Current]
-             [Standard Deviation-Mean Plot] [Evolutie gemiddel...] [2011-12-11 13:44:08] [d700a6813b2ef07b7398fe84f8eae4b7]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10.93
10.92
10.89
10.94
10.98
10.99
11.02
11.04
11.05
11.05
11.02
10.91
11.01
11.02
11.03
11.04
11.06
11.08
11.06
11.06
11.09
11.07
11.06
11.08
11.08
11.08
11.11
11.09
11.08
11.05
11.07
11.06
11.06
11.07
11.02
11.01
11.04
11.02
11.03
11.17
11.19
11.15
11.13
11.06
11.01
11.03
10.99
10.94
11
11.06
11.06
11.05
11.04
11.15
11.2
11.16
11.3
11.23
11.25
11.25
11.12
11.14
11.17
11.25
11.27
11.34
11.39
11.44
11.46
11.49
11.51
11.48
11.49
11.52
11.56
11.58
11.58
11.58
11.6
11.62
11.62
11.64
11.67
11.66
11.72
11.82
11.9
12.04
12.08
12.15
12.19
12.22
12.23
12.25
12.26
12.27
12.34
12.38
12.42
12.43
12.48
12.5
12.5
12.49
12.46
12.45
12.45
12.38
12.42
12.37
12.35
12.35
12.36
12.32
12.32
12.34
12.35
12.34
12.31
12.24

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153710&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]0 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=153710&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153710&T=0

As an alternative you can also use a QR Code:  
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 time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
110.97833333333330.05828352852195630.16
211.0550.02504541329810190.0800000000000001
311.0650.02812310599683270.0999999999999996
411.06333333333330.0783156008298050.25
511.14583333333330.1009462803433170.300000000000001
611.33833333333330.1440223046698820.390000000000001
711.59333333333330.05365433699886590.18
812.09416666666670.1871537206456640.549999999999999
912.440.05187397315522580.16
1012.33916666666670.04231018216873450.18

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10.9783333333333 & 0.0582835285219563 & 0.16 \tabularnewline
2 & 11.055 & 0.0250454132981019 & 0.0800000000000001 \tabularnewline
3 & 11.065 & 0.0281231059968327 & 0.0999999999999996 \tabularnewline
4 & 11.0633333333333 & 0.078315600829805 & 0.25 \tabularnewline
5 & 11.1458333333333 & 0.100946280343317 & 0.300000000000001 \tabularnewline
6 & 11.3383333333333 & 0.144022304669882 & 0.390000000000001 \tabularnewline
7 & 11.5933333333333 & 0.0536543369988659 & 0.18 \tabularnewline
8 & 12.0941666666667 & 0.187153720645664 & 0.549999999999999 \tabularnewline
9 & 12.44 & 0.0518739731552258 & 0.16 \tabularnewline
10 & 12.3391666666667 & 0.0423101821687345 & 0.18 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153710&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]10.9783333333333[/C][C]0.0582835285219563[/C][C]0.16[/C][/ROW]
[ROW][C]2[/C][C]11.055[/C][C]0.0250454132981019[/C][C]0.0800000000000001[/C][/ROW]
[ROW][C]3[/C][C]11.065[/C][C]0.0281231059968327[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]4[/C][C]11.0633333333333[/C][C]0.078315600829805[/C][C]0.25[/C][/ROW]
[ROW][C]5[/C][C]11.1458333333333[/C][C]0.100946280343317[/C][C]0.300000000000001[/C][/ROW]
[ROW][C]6[/C][C]11.3383333333333[/C][C]0.144022304669882[/C][C]0.390000000000001[/C][/ROW]
[ROW][C]7[/C][C]11.5933333333333[/C][C]0.0536543369988659[/C][C]0.18[/C][/ROW]
[ROW][C]8[/C][C]12.0941666666667[/C][C]0.187153720645664[/C][C]0.549999999999999[/C][/ROW]
[ROW][C]9[/C][C]12.44[/C][C]0.0518739731552258[/C][C]0.16[/C][/ROW]
[ROW][C]10[/C][C]12.3391666666667[/C][C]0.0423101821687345[/C][C]0.18[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153710&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153710&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
110.97833333333330.05828352852195630.16
211.0550.02504541329810190.0800000000000001
311.0650.02812310599683270.0999999999999996
411.06333333333330.0783156008298050.25
511.14583333333330.1009462803433170.300000000000001
611.33833333333330.1440223046698820.390000000000001
711.59333333333330.05365433699886590.18
812.09416666666670.1871537206456640.549999999999999
912.440.05187397315522580.16
1012.33916666666670.04231018216873450.18






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.097843503564674
beta0.0151865651625595
S.D.0.0321144667386976
T-STAT0.472888598341874
p-value0.648925896189533

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.097843503564674 \tabularnewline
beta & 0.0151865651625595 \tabularnewline
S.D. & 0.0321144667386976 \tabularnewline
T-STAT & 0.472888598341874 \tabularnewline
p-value & 0.648925896189533 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153710&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.097843503564674[/C][/ROW]
[ROW][C]beta[/C][C]0.0151865651625595[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0321144667386976[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.472888598341874[/C][/ROW]
[ROW][C]p-value[/C][C]0.648925896189533[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153710&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153710&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.097843503564674
beta0.0151865651625595
S.D.0.0321144667386976
T-STAT0.472888598341874
p-value0.648925896189533






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.01306974299147
beta2.15087500653909
S.D.4.66819767466767
T-STAT0.460750627209078
p-value0.6572439805317
Lambda-1.15087500653909

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.01306974299147 \tabularnewline
beta & 2.15087500653909 \tabularnewline
S.D. & 4.66819767466767 \tabularnewline
T-STAT & 0.460750627209078 \tabularnewline
p-value & 0.6572439805317 \tabularnewline
Lambda & -1.15087500653909 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153710&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.01306974299147[/C][/ROW]
[ROW][C]beta[/C][C]2.15087500653909[/C][/ROW]
[ROW][C]S.D.[/C][C]4.66819767466767[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.460750627209078[/C][/ROW]
[ROW][C]p-value[/C][C]0.6572439805317[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.15087500653909[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153710&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153710&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.01306974299147
beta2.15087500653909
S.D.4.66819767466767
T-STAT0.460750627209078
p-value0.6572439805317
Lambda-1.15087500653909


Figures (Output of Computation)

Input Parameters & R Code

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')