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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 computationSat, 20 Dec 2008 16:14:40 -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/2008/Dec/21/t1229814920tw9ybhh8mghp0nu.htm/, Retrieved Sun, 19 May 2024 12:01:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35463, Retrieved Sun, 19 May 2024 12:01:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [VRM Olie] [2008-12-19 13:50:37] [7458e879e85b911182071700fff19fbd]
- RM D    [Standard Deviation-Mean Plot] [SMP BEL20] [2008-12-20 23:14:40] [ee28d11f695cd3bc1f8bbd77ba77987a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2196.72
2350.44
2440.25
2408.64
2472.81
2407.6
2454.62
2448.05
2497.84
2645.64
2756.76
2849.27
2921.44
2981.85
3080.58
3106.22
3119.31
3061.26
3097.31
3161.69
3257.16
3277.01
3295.32
3363.99
3494.17
3667.03
3813.06
3917.96
3895.51
3801.06
3570.12
3701.61
3862.27
3970.1
4138.52
4199.75
4290.89
4443.91
4502.64
4356.98
4591.27
4696.96
4621.4
4562.84
4202.52
4296.49
4435.23
4105.18
4116.68
3844.49
3720.98
3674.4
3857.62
3801.06
3504.37
3032.6
3047.03
2962.34
2197.82
2014.45

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35463&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35463&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35463&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12494.05333333333178.122893905678652.55
23143.595132.463242482928442.55
33835.93210.769728333597705.58
44425.52583333333180.044663168909591.78
53314.48666666667674.1348285069252102.23

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2494.05333333333 & 178.122893905678 & 652.55 \tabularnewline
2 & 3143.595 & 132.463242482928 & 442.55 \tabularnewline
3 & 3835.93 & 210.769728333597 & 705.58 \tabularnewline
4 & 4425.52583333333 & 180.044663168909 & 591.78 \tabularnewline
5 & 3314.48666666667 & 674.134828506925 & 2102.23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35463&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]2494.05333333333[/C][C]178.122893905678[/C][C]652.55[/C][/ROW]
[ROW][C]2[/C][C]3143.595[/C][C]132.463242482928[/C][C]442.55[/C][/ROW]
[ROW][C]3[/C][C]3835.93[/C][C]210.769728333597[/C][C]705.58[/C][/ROW]
[ROW][C]4[/C][C]4425.52583333333[/C][C]180.044663168909[/C][C]591.78[/C][/ROW]
[ROW][C]5[/C][C]3314.48666666667[/C][C]674.134828506925[/C][C]2102.23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35463&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35463&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
12494.05333333333178.122893905678652.55
23143.595132.463242482928442.55
33835.93210.769728333597705.58
44425.52583333333180.044663168909591.78
53314.48666666667674.1348285069252102.23






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha332.13030932829
beta-0.0165634348465690
S.D.0.177757500210322
T-STAT-0.0931799492396735
p-value0.931634753371462

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 332.13030932829 \tabularnewline
beta & -0.0165634348465690 \tabularnewline
S.D. & 0.177757500210322 \tabularnewline
T-STAT & -0.0931799492396735 \tabularnewline
p-value & 0.931634753371462 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35463&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]332.13030932829[/C][/ROW]
[ROW][C]beta[/C][C]-0.0165634348465690[/C][/ROW]
[ROW][C]S.D.[/C][C]0.177757500210322[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0931799492396735[/C][/ROW]
[ROW][C]p-value[/C][C]0.931634753371462[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35463&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35463&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)
alpha332.13030932829
beta-0.0165634348465690
S.D.0.177757500210322
T-STAT-0.0931799492396735
p-value0.931634753371462






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.571651388149
beta0.105048410658263
S.D.1.6853959578864
T-STAT0.062328623826772
p-value0.9542214136902
Lambda0.894951589341737

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.571651388149 \tabularnewline
beta & 0.105048410658263 \tabularnewline
S.D. & 1.6853959578864 \tabularnewline
T-STAT & 0.062328623826772 \tabularnewline
p-value & 0.9542214136902 \tabularnewline
Lambda & 0.894951589341737 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35463&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.571651388149[/C][/ROW]
[ROW][C]beta[/C][C]0.105048410658263[/C][/ROW]
[ROW][C]S.D.[/C][C]1.6853959578864[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.062328623826772[/C][/ROW]
[ROW][C]p-value[/C][C]0.9542214136902[/C][/ROW]
[ROW][C]Lambda[/C][C]0.894951589341737[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35463&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35463&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)
alpha4.571651388149
beta0.105048410658263
S.D.1.6853959578864
T-STAT0.062328623826772
p-value0.9542214136902
Lambda0.894951589341737


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')