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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 computationTue, 04 Dec 2012 13:35:09 -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/2012/Dec/04/t1354646177yq27w0w75lqrq4k.htm/, Retrieved Sat, 20 Apr 2024 13:51:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196482, Retrieved Sat, 20 Apr 2024 13:51:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Standard Deviatio...] [2012-12-04 18:35:09] [682ec54b5cb44a03479f999543600eb2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1,58
1,58
1,58
1,58
1,59
1,59
1,6
1,6
1,61
1,62
1,62
1,63
1,63
1,63
1,63
1,63
1,63
1,64
1,64
1,64
1,65
1,65
1,66
1,67
1,67
1,68
1,68
1,69
1,7
1,71
1,72
1,72
1,73
1,73
1,73
1,73
1,74
1,75
1,75
1,75
1,76
1,76
1,76
1,77
1,78
1,78
1,79
1,79
1,79
1,79
1,79
1,83
1,83
1,83
1,83
1,84
1,84
1,84
1,85
1,85
1,85
1,86
1,86
1,86
1,87
1,87
1,88
1,88
1,88
1,89
1,89
1,9

Tables (Output of Computation)





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=196482&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=196482&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196482&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11.598333333333330.01800673274757040.0499999999999998
21.641666666666670.01337115846843040.04
31.70750.02261335084333230.0600000000000001
41.7650.01678744119329040.05
51.825833333333330.02274696116900550.0600000000000001
61.874166666666670.01505042031024880.0499999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.59833333333333 & 0.0180067327475704 & 0.0499999999999998 \tabularnewline
2 & 1.64166666666667 & 0.0133711584684304 & 0.04 \tabularnewline
3 & 1.7075 & 0.0226133508433323 & 0.0600000000000001 \tabularnewline
4 & 1.765 & 0.0167874411932904 & 0.05 \tabularnewline
5 & 1.82583333333333 & 0.0227469611690055 & 0.0600000000000001 \tabularnewline
6 & 1.87416666666667 & 0.0150504203102488 & 0.0499999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196482&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]1.59833333333333[/C][C]0.0180067327475704[/C][C]0.0499999999999998[/C][/ROW]
[ROW][C]2[/C][C]1.64166666666667[/C][C]0.0133711584684304[/C][C]0.04[/C][/ROW]
[ROW][C]3[/C][C]1.7075[/C][C]0.0226133508433323[/C][C]0.0600000000000001[/C][/ROW]
[ROW][C]4[/C][C]1.765[/C][C]0.0167874411932904[/C][C]0.05[/C][/ROW]
[ROW][C]5[/C][C]1.82583333333333[/C][C]0.0227469611690055[/C][C]0.0600000000000001[/C][/ROW]
[ROW][C]6[/C][C]1.87416666666667[/C][C]0.0150504203102488[/C][C]0.0499999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196482&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196482&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
11.598333333333330.01800673274757040.0499999999999998
21.641666666666670.01337115846843040.04
31.70750.02261335084333230.0600000000000001
41.7650.01678744119329040.05
51.825833333333330.02274696116900550.0600000000000001
61.874166666666670.01505042031024880.0499999999999998






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.00926549939157911
beta0.00508840992868217
S.D.0.0180558778608788
T-STAT0.281814596215622
p-value0.792064784469473

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.00926549939157911 \tabularnewline
beta & 0.00508840992868217 \tabularnewline
S.D. & 0.0180558778608788 \tabularnewline
T-STAT & 0.281814596215622 \tabularnewline
p-value & 0.792064784469473 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196482&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.00926549939157911[/C][/ROW]
[ROW][C]beta[/C][C]0.00508840992868217[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0180558778608788[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.281814596215622[/C][/ROW]
[ROW][C]p-value[/C][C]0.792064784469473[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196482&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196482&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)
alpha0.00926549939157911
beta0.00508840992868217
S.D.0.0180558778608788
T-STAT0.281814596215622
p-value0.792064784469473






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.31042699761766
beta0.507840250364351
S.D.1.72999284918438
T-STAT0.293550491034558
p-value0.783702212434842
Lambda0.492159749635649

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.31042699761766 \tabularnewline
beta & 0.507840250364351 \tabularnewline
S.D. & 1.72999284918438 \tabularnewline
T-STAT & 0.293550491034558 \tabularnewline
p-value & 0.783702212434842 \tabularnewline
Lambda & 0.492159749635649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196482&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.31042699761766[/C][/ROW]
[ROW][C]beta[/C][C]0.507840250364351[/C][/ROW]
[ROW][C]S.D.[/C][C]1.72999284918438[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.293550491034558[/C][/ROW]
[ROW][C]p-value[/C][C]0.783702212434842[/C][/ROW]
[ROW][C]Lambda[/C][C]0.492159749635649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196482&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196482&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-4.31042699761766
beta0.507840250364351
S.D.1.72999284918438
T-STAT0.293550491034558
p-value0.783702212434842
Lambda0.492159749635649


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')