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Description of Statistical Computation

Author's title

Standard deviation mean plot kwartz uurwerken, opgave8 oef 3, verbetering D...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 25 May 2008 07:09:53 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/25/t1211721116wedtfsmb0whjczp.htm/, Retrieved Thu, 16 May 2024 01:15:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13141, Retrieved Thu, 16 May 2024 01:15:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

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...] [2008-05-25 13:09:53] [9d456519644b7519961e155943b4a156] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
120.05
120.05
120.08
120.12
120.18
120.2
120.25
120.25
120.24
120.29
120.25
120.26
120.32
120.31
120.36
120.4
120.4
120.39
120.44
120.5
120.53
120.64
120.78
120.94
121
121.05
121.15
121.07
121.18
121.46
121.71
121.71
121.74
121.76
121.76
121.82
121.82
121.82
121.94
121.99
122.18
122.41
122.48
122.52
122.62
122.63
122.74
122.58
122.59
122.61
122.63
122.37
122.36
122.47
122.46
122.45
122.49
122.5
122.37
122.37
122.51
122.51
122.55
122.56
122.72
122.97
123.03
123.05
123.08
123.08
123.12
123.07
123.04
123.06
123.39
124.02
124.05
123.99
124.46
124.46
124.6
124.84
124.84
124.99

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13141&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13141&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13141&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 time4 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1120.1850.08754219761712990.240000000000009
2120.5008333333330.1945371351945350.629999999999995
3121.4508333333330.3327969168709160.819999999999993
4122.3108333333330.3405465749306120.920000000000002
5122.47250.09696531713593470.269999999999996
6122.8541666666670.2586488786448560.61
7124.1450.6810753529262631.94999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 120.185 & 0.0875421976171299 & 0.240000000000009 \tabularnewline
2 & 120.500833333333 & 0.194537135194535 & 0.629999999999995 \tabularnewline
3 & 121.450833333333 & 0.332796916870916 & 0.819999999999993 \tabularnewline
4 & 122.310833333333 & 0.340546574930612 & 0.920000000000002 \tabularnewline
5 & 122.4725 & 0.0969653171359347 & 0.269999999999996 \tabularnewline
6 & 122.854166666667 & 0.258648878644856 & 0.61 \tabularnewline
7 & 124.145 & 0.681075352926263 & 1.94999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13141&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]120.185[/C][C]0.0875421976171299[/C][C]0.240000000000009[/C][/ROW]
[ROW][C]2[/C][C]120.500833333333[/C][C]0.194537135194535[/C][C]0.629999999999995[/C][/ROW]
[ROW][C]3[/C][C]121.450833333333[/C][C]0.332796916870916[/C][C]0.819999999999993[/C][/ROW]
[ROW][C]4[/C][C]122.310833333333[/C][C]0.340546574930612[/C][C]0.920000000000002[/C][/ROW]
[ROW][C]5[/C][C]122.4725[/C][C]0.0969653171359347[/C][C]0.269999999999996[/C][/ROW]
[ROW][C]6[/C][C]122.854166666667[/C][C]0.258648878644856[/C][C]0.61[/C][/ROW]
[ROW][C]7[/C][C]124.145[/C][C]0.681075352926263[/C][C]1.94999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13141&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13141&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
1120.1850.08754219761712990.240000000000009
2120.5008333333330.1945371351945350.629999999999995
3121.4508333333330.3327969168709160.819999999999993
4122.3108333333330.3405465749306120.920000000000002
5122.47250.09696531713593470.269999999999996
6122.8541666666670.2586488786448560.61
7124.1450.6810753529262631.94999999999999






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-12.698951068329
beta0.106432521249521
S.D.0.0447894641891967
T-STAT2.37628476196848
p-value0.0634563830472498

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -12.698951068329 \tabularnewline
beta & 0.106432521249521 \tabularnewline
S.D. & 0.0447894641891967 \tabularnewline
T-STAT & 2.37628476196848 \tabularnewline
p-value & 0.0634563830472498 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13141&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.698951068329[/C][/ROW]
[ROW][C]beta[/C][C]0.106432521249521[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0447894641891967[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.37628476196848[/C][/ROW]
[ROW][C]p-value[/C][C]0.0634563830472498[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13141&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13141&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-12.698951068329
beta0.106432521249521
S.D.0.0447894641891967
T-STAT2.37628476196848
p-value0.0634563830472498






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-202.426360199772
beta41.8312792664198
S.D.21.8362691370608
T-STAT1.91567886454665
p-value0.113556147930413
Lambda-40.8312792664198

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -202.426360199772 \tabularnewline
beta & 41.8312792664198 \tabularnewline
S.D. & 21.8362691370608 \tabularnewline
T-STAT & 1.91567886454665 \tabularnewline
p-value & 0.113556147930413 \tabularnewline
Lambda & -40.8312792664198 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13141&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-202.426360199772[/C][/ROW]
[ROW][C]beta[/C][C]41.8312792664198[/C][/ROW]
[ROW][C]S.D.[/C][C]21.8362691370608[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.91567886454665[/C][/ROW]
[ROW][C]p-value[/C][C]0.113556147930413[/C][/ROW]
[ROW][C]Lambda[/C][C]-40.8312792664198[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13141&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13141&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-202.426360199772
beta41.8312792664198
S.D.21.8362691370608
T-STAT1.91567886454665
p-value0.113556147930413
Lambda-40.8312792664198


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')