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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 15 Aug 2017 21:25:58 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/15/t1502825177bq5sbh5x4o5r5ft.htm/, Retrieved Fri, 17 May 2024 13:01:18 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 13:01:18 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
503334
503737
504101
504504
504894
505297
505687
506090
506493
506883
507286
507676
508079
508482
508846
509249
509639
510042
510432
510835
511238
511628
512031
512421
512824
513227
513604
514007
514397
514800
515190
515593
515996
516386
516789
517179
517582
517985
518349
518752
519142
519545
519935
520338
520741
521131
521534
521924
522327
522730
523094
523497
523887
524290
524680
525083
525486
525876
526279
526669
527072
527475
527839
528242
528632
529035
529425
529828
530231
530621
531024
531414
531817
532220
532597
533000
533390
533793
534183
534586
534989
535379
535782
536172
536575
536978
537342
537745
538135
538538
538928
539331
539734
540124
540527
540917
541320
541723
542087
542490
542880
543283
543673
544076
544479
544869
545272
545662

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1505498.51425.863024149364342
2510243.51425.863024149364342
3514999.3333333331429.122320188384355
4519746.51425.863024149364342
5524491.51425.863024149364342
6529236.51425.863024149364342
7533992.3333333331429.122320188384355
8538739.51425.863024149364342
9543484.51425.863024149364342

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 505498.5 & 1425.86302414936 & 4342 \tabularnewline
2 & 510243.5 & 1425.86302414936 & 4342 \tabularnewline
3 & 514999.333333333 & 1429.12232018838 & 4355 \tabularnewline
4 & 519746.5 & 1425.86302414936 & 4342 \tabularnewline
5 & 524491.5 & 1425.86302414936 & 4342 \tabularnewline
6 & 529236.5 & 1425.86302414936 & 4342 \tabularnewline
7 & 533992.333333333 & 1429.12232018838 & 4355 \tabularnewline
8 & 538739.5 & 1425.86302414936 & 4342 \tabularnewline
9 & 543484.5 & 1425.86302414936 & 4342 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]505498.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[ROW][C]2[/C][C]510243.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[ROW][C]3[/C][C]514999.333333333[/C][C]1429.12232018838[/C][C]4355[/C][/ROW]
[ROW][C]4[/C][C]519746.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[ROW][C]5[/C][C]524491.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[ROW][C]6[/C][C]529236.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[ROW][C]7[/C][C]533992.333333333[/C][C]1429.12232018838[/C][C]4355[/C][/ROW]
[ROW][C]8[/C][C]538739.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[ROW][C]9[/C][C]543484.5[/C][C]1425.86302414936[/C][C]4342[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
1505498.51425.863024149364342
2510243.51425.863024149364342
3514999.3333333331429.122320188384355
4519746.51425.863024149364342
5524491.51425.863024149364342
6529236.51425.863024149364342
7533992.3333333331429.122320188384355
8538739.51425.863024149364342
9543484.51425.863024149364342






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1426.57879464857
beta1.62395269005035e-08
S.D.4.17723124094807e-05
T-STAT0.000388762938027289
p-value0.999700659193536

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1426.57879464857 \tabularnewline
beta & 1.62395269005035e-08 \tabularnewline
S.D. & 4.17723124094807e-05 \tabularnewline
T-STAT & 0.000388762938027289 \tabularnewline
p-value & 0.999700659193536 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1426.57879464857[/C][/ROW]
[ROW][C]beta[/C][C]1.62395269005035e-08[/C][/ROW]
[ROW][C]S.D.[/C][C]4.17723124094807e-05[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.000388762938027289[/C][/ROW]
[ROW][C]p-value[/C][C]0.999700659193536[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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)
alpha1426.57879464857
beta1.62395269005035e-08
S.D.4.17723124094807e-05
T-STAT0.000388762938027289
p-value0.999700659193536






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha7.26162446426818
beta0.000107476872865812
S.D.0.0153422523729679
T-STAT0.00700528646336051
p-value0.99460609962103
Lambda0.999892523127134

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.26162446426818 \tabularnewline
beta & 0.000107476872865812 \tabularnewline
S.D. & 0.0153422523729679 \tabularnewline
T-STAT & 0.00700528646336051 \tabularnewline
p-value & 0.99460609962103 \tabularnewline
Lambda & 0.999892523127134 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.26162446426818[/C][/ROW]
[ROW][C]beta[/C][C]0.000107476872865812[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0153422523729679[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.00700528646336051[/C][/ROW]
[ROW][C]p-value[/C][C]0.99460609962103[/C][/ROW]
[ROW][C]Lambda[/C][C]0.999892523127134[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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)
alpha7.26162446426818
beta0.000107476872865812
S.D.0.0153422523729679
T-STAT0.00700528646336051
p-value0.99460609962103
Lambda0.999892523127134


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = Aantal verkochte exemplaren van 'La Libre' ; par2 = Niet gekend ; par3 = Cijferreeks verkochte exemplaren La Libre. ; par4 = 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')