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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 computationMon, 10 Dec 2007 03:10:01 -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/2007/Dec/10/t1197280539tnba7mxwu83emrw.htm/, Retrieved Mon, 06 May 2024 12:00:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2980, Retrieved Mon, 06 May 2024 12:00:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact226

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] [pond smp] [2007-12-10 10:10:01] [e24e91da8d334fb8882bf413603fde71] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.63709
0.64217
0.65711
0.66977
0.68255
0.68902
0.71322
0.70224
0.70045
0.69919
0.69693
0.69763
0.69278
0.70196
0.69215
0.67690
0.67124
0.66532
0.67157
0.66428
0.66576
0.66942
0.68130
0.69144
0.69862
0.69500
0.69867
0.68968
0.69233
0.68293
0.68399
0.66895
0.68756
0.68527
0.67760
0.68137
0.67933
0.67922
0.68598
0.68297
0.68935
0.69463
0.68330
0.68666
0.68782
0.67669
0.67511
0.67254
0.67397
0.67286
0.66341
0.66800
0.68021
0.67934
0.68136
0.67562
0.67440
0.67766
0.68887
0.69614

Tables (Output of Computation)





Summary of compuational 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 compuational 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=2980&T=0

[TABLE]
[ROW][C]Summary of compuational 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=2980&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2980&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 compuational 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
10.6822808333333330.02506084394513530.07613
20.6786766666666670.01293159930581140.05979
30.6868308333333330.008765905500427440.0415600000000000
40.68280.006466246628032790.0266299999999999
50.6776533333333330.008728283527322710.0249000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.682280833333333 & 0.0250608439451353 & 0.07613 \tabularnewline
2 & 0.678676666666667 & 0.0129315993058114 & 0.05979 \tabularnewline
3 & 0.686830833333333 & 0.00876590550042744 & 0.0415600000000000 \tabularnewline
4 & 0.6828 & 0.00646624662803279 & 0.0266299999999999 \tabularnewline
5 & 0.677653333333333 & 0.00872828352732271 & 0.0249000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2980&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]0.682280833333333[/C][C]0.0250608439451353[/C][C]0.07613[/C][/ROW]
[ROW][C]2[/C][C]0.678676666666667[/C][C]0.0129315993058114[/C][C]0.05979[/C][/ROW]
[ROW][C]3[/C][C]0.686830833333333[/C][C]0.00876590550042744[/C][C]0.0415600000000000[/C][/ROW]
[ROW][C]4[/C][C]0.6828[/C][C]0.00646624662803279[/C][C]0.0266299999999999[/C][/ROW]
[ROW][C]5[/C][C]0.677653333333333[/C][C]0.00872828352732271[/C][C]0.0249000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2980&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2980&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
10.6822808333333330.02506084394513530.07613
20.6786766666666670.01293159930581140.05979
30.6868308333333330.008765905500427440.0415600000000000
40.68280.006466246628032790.0266299999999999
50.6776533333333330.008728283527322710.0249000000000000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0707613896777193
beta-0.0856318588955303
S.D.1.17768243503240
T-STAT-0.0727121814406399
p-value0.946611598157016

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0707613896777193 \tabularnewline
beta & -0.0856318588955303 \tabularnewline
S.D. & 1.17768243503240 \tabularnewline
T-STAT & -0.0727121814406399 \tabularnewline
p-value & 0.946611598157016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2980&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0707613896777193[/C][/ROW]
[ROW][C]beta[/C][C]-0.0856318588955303[/C][/ROW]
[ROW][C]S.D.[/C][C]1.17768243503240[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0727121814406399[/C][/ROW]
[ROW][C]p-value[/C][C]0.946611598157016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2980&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2980&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)
alpha0.0707613896777193
beta-0.0856318588955303
S.D.1.17768243503240
T-STAT-0.0727121814406399
p-value0.946611598157016






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.5192874570975
beta-10.4592436310545
S.D.55.992245113105
T-STAT-0.186798075517899
p-value0.863737506523271
Lambda11.4592436310545

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.5192874570975 \tabularnewline
beta & -10.4592436310545 \tabularnewline
S.D. & 55.992245113105 \tabularnewline
T-STAT & -0.186798075517899 \tabularnewline
p-value & 0.863737506523271 \tabularnewline
Lambda & 11.4592436310545 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2980&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.5192874570975[/C][/ROW]
[ROW][C]beta[/C][C]-10.4592436310545[/C][/ROW]
[ROW][C]S.D.[/C][C]55.992245113105[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.186798075517899[/C][/ROW]
[ROW][C]p-value[/C][C]0.863737506523271[/C][/ROW]
[ROW][C]Lambda[/C][C]11.4592436310545[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2980&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2980&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-8.5192874570975
beta-10.4592436310545
S.D.55.992245113105
T-STAT-0.186798075517899
p-value0.863737506523271
Lambda11.4592436310545


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')