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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 computationSun, 06 Jan 2008 04:24:12 -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/Jan/06/t1199619548bwn29odrml7i941.htm/, Retrieved Sat, 04 May 2024 21:51:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7783, Retrieved Sat, 04 May 2024 21:51:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact224

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] [SDMP goudkoers] [2008-01-06 11:24:12] [fea8286ffce1c0d00dd375fb36de4323] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10511
10812
10738
10171
9721
9897
9828
9924
10371
10846
10413
10709
10662
10570
10297
10635
10872
10296
10383
10431
10574
10653
10805
10872
10625
10407
10463
10556
10646
10702
11353
11346
11451
11964
12574
13031
13812
14544
14931
14886
16005
17064
15168
16050
15839
15137
14954
15648
15305
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696

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=7783&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=7783&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7783&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
110328.4166666667410.1526231080621125
210587.5203.926680228681576
311259.8333333333871.8422327393182624
415336.5843.3593540122743252
516118.6666666667683.0253999447582391

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10328.4166666667 & 410.152623108062 & 1125 \tabularnewline
2 & 10587.5 & 203.926680228681 & 576 \tabularnewline
3 & 11259.8333333333 & 871.842232739318 & 2624 \tabularnewline
4 & 15336.5 & 843.359354012274 & 3252 \tabularnewline
5 & 16118.6666666667 & 683.025399944758 & 2391 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7783&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]10328.4166666667[/C][C]410.152623108062[/C][C]1125[/C][/ROW]
[ROW][C]2[/C][C]10587.5[/C][C]203.926680228681[/C][C]576[/C][/ROW]
[ROW][C]3[/C][C]11259.8333333333[/C][C]871.842232739318[/C][C]2624[/C][/ROW]
[ROW][C]4[/C][C]15336.5[/C][C]843.359354012274[/C][C]3252[/C][/ROW]
[ROW][C]5[/C][C]16118.6666666667[/C][C]683.025399944758[/C][C]2391[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7783&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7783&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
110328.4166666667410.1526231080621125
210587.5203.926680228681576
311259.8333333333871.8422327393182624
415336.5843.3593540122743252
516118.6666666667683.0253999447582391






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-149.873228455833
beta0.0591170555033482
S.D.0.0493795037031374
T-STAT1.19719825170280
p-value0.317203815377678

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -149.873228455833 \tabularnewline
beta & 0.0591170555033482 \tabularnewline
S.D. & 0.0493795037031374 \tabularnewline
T-STAT & 1.19719825170280 \tabularnewline
p-value & 0.317203815377678 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7783&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-149.873228455833[/C][/ROW]
[ROW][C]beta[/C][C]0.0591170555033482[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0493795037031374[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.19719825170280[/C][/ROW]
[ROW][C]p-value[/C][C]0.317203815377678[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7783&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7783&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-149.873228455833
beta0.0591170555033482
S.D.0.0493795037031374
T-STAT1.19719825170280
p-value0.317203815377678






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.1092764663186
beta1.73678670018569
S.D.1.32739103670893
T-STAT1.30842129572594
p-value0.281946362208909
Lambda-0.736786700185689

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.1092764663186 \tabularnewline
beta & 1.73678670018569 \tabularnewline
S.D. & 1.32739103670893 \tabularnewline
T-STAT & 1.30842129572594 \tabularnewline
p-value & 0.281946362208909 \tabularnewline
Lambda & -0.736786700185689 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7783&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.1092764663186[/C][/ROW]
[ROW][C]beta[/C][C]1.73678670018569[/C][/ROW]
[ROW][C]S.D.[/C][C]1.32739103670893[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.30842129572594[/C][/ROW]
[ROW][C]p-value[/C][C]0.281946362208909[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.736786700185689[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7783&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7783&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-10.1092764663186
beta1.73678670018569
S.D.1.32739103670893
T-STAT1.30842129572594
p-value0.281946362208909
Lambda-0.736786700185689


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')