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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, 07 Jun 2009 14:14:05 -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/2009/Jun/07/t124440568485wotkxlshc5kgp.htm/, Retrieved Mon, 13 May 2024 16:38:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42256, Retrieved Mon, 13 May 2024 16:38:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101

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...] [2009-06-07 20:14:05] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
517
540
454
292
445
483
545
355
370
372
422
445
471
413
307
308
389
377
521
420
413
384
466
434
263
334
334
416
309
334
350
337
277
439
433
455
372
409
471
382
417
405
410
357
360
329
359
393
448
593
535
449
742
631
513
526
677
631
547
533
433
427
470
418
485
464
439
452
423
537
384
380

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=42256&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=42256&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42256&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
1436.66666666666778.5624630855004253
2408.58333333333362.5713532091503214
3356.7564.0739984137659192
4388.66666666666737.3225092533942142
5568.7588.8401270925373294
6442.66666666666743.3764354403996157

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 436.666666666667 & 78.5624630855004 & 253 \tabularnewline
2 & 408.583333333333 & 62.5713532091503 & 214 \tabularnewline
3 & 356.75 & 64.0739984137659 & 192 \tabularnewline
4 & 388.666666666667 & 37.3225092533942 & 142 \tabularnewline
5 & 568.75 & 88.8401270925373 & 294 \tabularnewline
6 & 442.666666666667 & 43.3764354403996 & 157 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42256&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]436.666666666667[/C][C]78.5624630855004[/C][C]253[/C][/ROW]
[ROW][C]2[/C][C]408.583333333333[/C][C]62.5713532091503[/C][C]214[/C][/ROW]
[ROW][C]3[/C][C]356.75[/C][C]64.0739984137659[/C][C]192[/C][/ROW]
[ROW][C]4[/C][C]388.666666666667[/C][C]37.3225092533942[/C][C]142[/C][/ROW]
[ROW][C]5[/C][C]568.75[/C][C]88.8401270925373[/C][C]294[/C][/ROW]
[ROW][C]6[/C][C]442.666666666667[/C][C]43.3764354403996[/C][C]157[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42256&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42256&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
1436.66666666666778.5624630855004253
2408.58333333333362.5713532091503214
3356.7564.0739984137659192
4388.66666666666737.3225092533942142
5568.7588.8401270925373294
6442.66666666666743.3764354403996157






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-9.17242135823848
beta0.16516819778159
S.D.0.106458583531185
T-STAT1.55147844638762
p-value0.195732650728854

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -9.17242135823848 \tabularnewline
beta & 0.16516819778159 \tabularnewline
S.D. & 0.106458583531185 \tabularnewline
T-STAT & 1.55147844638762 \tabularnewline
p-value & 0.195732650728854 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42256&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.17242135823848[/C][/ROW]
[ROW][C]beta[/C][C]0.16516819778159[/C][/ROW]
[ROW][C]S.D.[/C][C]0.106458583531185[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.55147844638762[/C][/ROW]
[ROW][C]p-value[/C][C]0.195732650728854[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42256&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42256&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-9.17242135823848
beta0.16516819778159
S.D.0.106458583531185
T-STAT1.55147844638762
p-value0.195732650728854






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.49881401326666
beta1.08693369479391
S.D.0.902164800798278
T-STAT1.20480614387985
p-value0.294684685489627
Lambda-0.0869336947939103

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.49881401326666 \tabularnewline
beta & 1.08693369479391 \tabularnewline
S.D. & 0.902164800798278 \tabularnewline
T-STAT & 1.20480614387985 \tabularnewline
p-value & 0.294684685489627 \tabularnewline
Lambda & -0.0869336947939103 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42256&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.49881401326666[/C][/ROW]
[ROW][C]beta[/C][C]1.08693369479391[/C][/ROW]
[ROW][C]S.D.[/C][C]0.902164800798278[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.20480614387985[/C][/ROW]
[ROW][C]p-value[/C][C]0.294684685489627[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0869336947939103[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42256&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42256&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-2.49881401326666
beta1.08693369479391
S.D.0.902164800798278
T-STAT1.20480614387985
p-value0.294684685489627
Lambda-0.0869336947939103


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')