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Description of Statistical Computation

Author's title

Koers euro-dollar 9/2002 tem 8/2008 - Standard Deviation Mean plot - Spille...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 06 Jan 2009 03:11:51 -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/06/t1231236780m0jfclmifn5cz1h.htm/, Retrieved Sun, 05 May 2024 08:36:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36771, Retrieved Sun, 05 May 2024 08:36:43 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact191

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] [Koers euro-dollar...] [2009-01-06 10:11:51] [314f9a525820ae2bc37b608258bd4c0b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,9808
0,9811
1,0014
1,0183
1,0622
1,0773
1,0807
1,0848
1,1582
1,1663
1,1372
1,1139
1,1222
1,1692
1,1702
1,2286
1,2613
1,2646
1,2262
1,1985
1,2007
1,2138
1,2266
1,2176
1,2218
1,249
1,2991
1,3408
1,3119
1,3014
1,3201
1,2938
1,2694
1,2165
1,2037
1,2292
1,2256
1,2015
1,1786
1,1856
1,2103
1,1938
1,202
1,2271
1,277
1,265
1,2684
1,2811
1,2727
1,2611
1,2881
1,3213
1,2999
1,3074
1,3242
1,3516
1,3511
1,3419
1,3716
1,3622
1,3896
1,4227
1,4684
1,457
1,4718
1,4748
1,5527
1,575
1,5557
1,5553
1,577
1,4975

Tables (Output of Computation)





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=36771&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=36771&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36771&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11.071850.06546426506117670.1855
21.208291666666670.04012508755772570.1424
31.271391666666670.04606458822000680.1371
41.226333333333330.03728795402206340.102500000000000
51.321091666666670.03590478464781620.110500000000000
61.499791666666670.06247827925597720.1874

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.07185 & 0.0654642650611767 & 0.1855 \tabularnewline
2 & 1.20829166666667 & 0.0401250875577257 & 0.1424 \tabularnewline
3 & 1.27139166666667 & 0.0460645882200068 & 0.1371 \tabularnewline
4 & 1.22633333333333 & 0.0372879540220634 & 0.102500000000000 \tabularnewline
5 & 1.32109166666667 & 0.0359047846478162 & 0.110500000000000 \tabularnewline
6 & 1.49979166666667 & 0.0624782792559772 & 0.1874 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36771&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]1.07185[/C][C]0.0654642650611767[/C][C]0.1855[/C][/ROW]
[ROW][C]2[/C][C]1.20829166666667[/C][C]0.0401250875577257[/C][C]0.1424[/C][/ROW]
[ROW][C]3[/C][C]1.27139166666667[/C][C]0.0460645882200068[/C][C]0.1371[/C][/ROW]
[ROW][C]4[/C][C]1.22633333333333[/C][C]0.0372879540220634[/C][C]0.102500000000000[/C][/ROW]
[ROW][C]5[/C][C]1.32109166666667[/C][C]0.0359047846478162[/C][C]0.110500000000000[/C][/ROW]
[ROW][C]6[/C][C]1.49979166666667[/C][C]0.0624782792559772[/C][C]0.1874[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36771&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36771&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
11.071850.06546426506117670.1855
21.208291666666670.04012508755772570.1424
31.271391666666670.04606458822000680.1371
41.226333333333330.03728795402206340.102500000000000
51.321091666666670.03590478464781620.110500000000000
61.499791666666670.06247827925597720.1874






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0453992259051094
beta0.00196474464011973
S.D.0.0457788974622638
T-STAT0.0429181292917616
p-value0.967823749206554

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0453992259051094 \tabularnewline
beta & 0.00196474464011973 \tabularnewline
S.D. & 0.0457788974622638 \tabularnewline
T-STAT & 0.0429181292917616 \tabularnewline
p-value & 0.967823749206554 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36771&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0453992259051094[/C][/ROW]
[ROW][C]beta[/C][C]0.00196474464011973[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0457788974622638[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0429181292917616[/C][/ROW]
[ROW][C]p-value[/C][C]0.967823749206554[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36771&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36771&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)
alpha0.0453992259051094
beta0.00196474464011973
S.D.0.0457788974622638
T-STAT0.0429181292917616
p-value0.967823749206554






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.0529127455135
beta-0.065736317890295
S.D.1.17982450168836
T-STAT-0.0557170306229653
p-value0.958239231160788
Lambda1.06573631789029

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.0529127455135 \tabularnewline
beta & -0.065736317890295 \tabularnewline
S.D. & 1.17982450168836 \tabularnewline
T-STAT & -0.0557170306229653 \tabularnewline
p-value & 0.958239231160788 \tabularnewline
Lambda & 1.06573631789029 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36771&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.0529127455135[/C][/ROW]
[ROW][C]beta[/C][C]-0.065736317890295[/C][/ROW]
[ROW][C]S.D.[/C][C]1.17982450168836[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0557170306229653[/C][/ROW]
[ROW][C]p-value[/C][C]0.958239231160788[/C][/ROW]
[ROW][C]Lambda[/C][C]1.06573631789029[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36771&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36771&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-3.0529127455135
beta-0.065736317890295
S.D.1.17982450168836
T-STAT-0.0557170306229653
p-value0.958239231160788
Lambda1.06573631789029


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')