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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 computationTue, 15 Jan 2013 20:36:51 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/15/t1358300258h49z4rbouxd8ar8.htm/, Retrieved Sun, 28 Apr 2024 05:29:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205591, Retrieved Sun, 28 Apr 2024 05:29:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96

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] [inschrijvingen pe...] [2011-12-07 19:29:01] [4e8d7446eb620bf0031bc115be7a2e0d]
- R  D    [Standard Deviation-Mean Plot] [] [2013-01-16 01:36:51] [38a0db91cd47487c7649642dcb33e029] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
435
431
434
439
455
452
426
428
433
438
442
446
442
436
444
454
469
471
443
437
444
451
457
460
454
439
441
446
459
456
433
424
430
428
424
419
409
397
397
401
413
413
390
385
397
398
406
412
409
404
412
418
434
431
406
416
424
427
438
444
442
443
453
471
476
476
461
462
460
463
467
468
465
459
465
471
472
472
456
455
456
462
463
461

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'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205591&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205591&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'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1438.259.0867035727034629
2450.66666666666711.726685444538535
3437.7513.605647223253940
4401.59.1899154215120728
5421.91666666666713.124981962469640
6461.83333333333311.207410968018534
7463.0833333333336.1564206444585317

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 438.25 & 9.08670357270346 & 29 \tabularnewline
2 & 450.666666666667 & 11.7266854445385 & 35 \tabularnewline
3 & 437.75 & 13.6056472232539 & 40 \tabularnewline
4 & 401.5 & 9.18991542151207 & 28 \tabularnewline
5 & 421.916666666667 & 13.1249819624696 & 40 \tabularnewline
6 & 461.833333333333 & 11.2074109680185 & 34 \tabularnewline
7 & 463.083333333333 & 6.15642064445853 & 17 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205591&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]438.25[/C][C]9.08670357270346[/C][C]29[/C][/ROW]
[ROW][C]2[/C][C]450.666666666667[/C][C]11.7266854445385[/C][C]35[/C][/ROW]
[ROW][C]3[/C][C]437.75[/C][C]13.6056472232539[/C][C]40[/C][/ROW]
[ROW][C]4[/C][C]401.5[/C][C]9.18991542151207[/C][C]28[/C][/ROW]
[ROW][C]5[/C][C]421.916666666667[/C][C]13.1249819624696[/C][C]40[/C][/ROW]
[ROW][C]6[/C][C]461.833333333333[/C][C]11.2074109680185[/C][C]34[/C][/ROW]
[ROW][C]7[/C][C]463.083333333333[/C][C]6.15642064445853[/C][C]17[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205591&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
1438.259.0867035727034629
2450.66666666666711.726685444538535
3437.7513.605647223253940
4401.59.1899154215120728
5421.91666666666713.124981962469640
6461.83333333333311.207410968018534
7463.0833333333336.1564206444585317






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha21.4813984829759
beta-0.0248039102906917
S.D.0.0517066342693267
T-STAT-0.479704599635986
p-value0.651685874015948

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 21.4813984829759 \tabularnewline
beta & -0.0248039102906917 \tabularnewline
S.D. & 0.0517066342693267 \tabularnewline
T-STAT & -0.479704599635986 \tabularnewline
p-value & 0.651685874015948 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205591&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.4813984829759[/C][/ROW]
[ROW][C]beta[/C][C]-0.0248039102906917[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0517066342693267[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.479704599635986[/C][/ROW]
[ROW][C]p-value[/C][C]0.651685874015948[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205591&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205591&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)
alpha21.4813984829759
beta-0.0248039102906917
S.D.0.0517066342693267
T-STAT-0.479704599635986
p-value0.651685874015948






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.0283086230911
beta-1.26542527947742
S.D.2.33894279939541
T-STAT-0.54102446618383
p-value0.611714040331088
Lambda2.26542527947742

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.0283086230911 \tabularnewline
beta & -1.26542527947742 \tabularnewline
S.D. & 2.33894279939541 \tabularnewline
T-STAT & -0.54102446618383 \tabularnewline
p-value & 0.611714040331088 \tabularnewline
Lambda & 2.26542527947742 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205591&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.0283086230911[/C][/ROW]
[ROW][C]beta[/C][C]-1.26542527947742[/C][/ROW]
[ROW][C]S.D.[/C][C]2.33894279939541[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.54102446618383[/C][/ROW]
[ROW][C]p-value[/C][C]0.611714040331088[/C][/ROW]
[ROW][C]Lambda[/C][C]2.26542527947742[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205591&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205591&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)
alpha10.0283086230911
beta-1.26542527947742
S.D.2.33894279939541
T-STAT-0.54102446618383
p-value0.611714040331088
Lambda2.26542527947742


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')