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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, 23 Nov 2014 17:51:12 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/23/t1416765111zdud7lie5a2p66p.htm/, Retrieved Sun, 19 May 2024 14:01:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=258079, Retrieved Sun, 19 May 2024 14:01:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77

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] [eigen reeks sprei...] [2014-11-23 17:51:12] [6e93958bb59fd6ca90246553243cf8d9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
389,09
391,76
390,96
391,76
392,8
393,06
393,06
393,26
393,87
394,47
394,57
394,57
394,57
399,57
406,13
407,03
409,46
409,9
409,9
410,14
410,54
410,69
410,79
410,97
410,97
413,8
423,31
423,85
426,6
426,26
426,26
426,32
427,14
427,55
428,29
428,8
428,8
434,87
435,66
440,75
440,99
441,04
441,04
441,88
441,92
442,48
442,81
442,81
442,81
447,19
446,52
448,57
448,71
448,73
449,07
449,03
448,68
450,08
449,96
449,96
449,96
452,56
455,31
456,2
456,75
457,63
457,63
457,65
458,32
459,64
460,16
459,89

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258079&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258079&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258079&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1392.7691666666671.647253683246675.48000000000002
2407.4741666666675.1941706107263516.4
3424.0958333333335.7245332613765117.83
4439.58754.2791229453964214.01
5448.2758333333332.020560040876757.26999999999998
6456.8083333333333.0250314298392310.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 392.769166666667 & 1.64725368324667 & 5.48000000000002 \tabularnewline
2 & 407.474166666667 & 5.19417061072635 & 16.4 \tabularnewline
3 & 424.095833333333 & 5.72453326137651 & 17.83 \tabularnewline
4 & 439.5875 & 4.27912294539642 & 14.01 \tabularnewline
5 & 448.275833333333 & 2.02056004087675 & 7.26999999999998 \tabularnewline
6 & 456.808333333333 & 3.02503142983923 & 10.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258079&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]392.769166666667[/C][C]1.64725368324667[/C][C]5.48000000000002[/C][/ROW]
[ROW][C]2[/C][C]407.474166666667[/C][C]5.19417061072635[/C][C]16.4[/C][/ROW]
[ROW][C]3[/C][C]424.095833333333[/C][C]5.72453326137651[/C][C]17.83[/C][/ROW]
[ROW][C]4[/C][C]439.5875[/C][C]4.27912294539642[/C][C]14.01[/C][/ROW]
[ROW][C]5[/C][C]448.275833333333[/C][C]2.02056004087675[/C][C]7.26999999999998[/C][/ROW]
[ROW][C]6[/C][C]456.808333333333[/C][C]3.02503142983923[/C][C]10.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258079&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258079&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
1392.7691666666671.647253683246675.48000000000002
2407.4741666666675.1941706107263516.4
3424.0958333333335.7245332613765117.83
4439.58754.2791229453964214.01
5448.2758333333332.020560040876757.26999999999998
6456.8083333333333.0250314298392310.2






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5.46991673436921
beta-0.00425409978539211
S.D.0.033962355013272
T-STAT-0.125259269674605
p-value0.906361366974979

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.46991673436921 \tabularnewline
beta & -0.00425409978539211 \tabularnewline
S.D. & 0.033962355013272 \tabularnewline
T-STAT & -0.125259269674605 \tabularnewline
p-value & 0.906361366974979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258079&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.46991673436921[/C][/ROW]
[ROW][C]beta[/C][C]-0.00425409978539211[/C][/ROW]
[ROW][C]S.D.[/C][C]0.033962355013272[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.125259269674605[/C][/ROW]
[ROW][C]p-value[/C][C]0.906361366974979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258079&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258079&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)
alpha5.46991673436921
beta-0.00425409978539211
S.D.0.033962355013272
T-STAT-0.125259269674605
p-value0.906361366974979






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.69986015703425
beta0.642516318410679
S.D.4.37715309947275
T-STAT0.146788632658993
p-value0.890399940164672
Lambda0.357483681589321

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.69986015703425 \tabularnewline
beta & 0.642516318410679 \tabularnewline
S.D. & 4.37715309947275 \tabularnewline
T-STAT & 0.146788632658993 \tabularnewline
p-value & 0.890399940164672 \tabularnewline
Lambda & 0.357483681589321 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258079&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.69986015703425[/C][/ROW]
[ROW][C]beta[/C][C]0.642516318410679[/C][/ROW]
[ROW][C]S.D.[/C][C]4.37715309947275[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.146788632658993[/C][/ROW]
[ROW][C]p-value[/C][C]0.890399940164672[/C][/ROW]
[ROW][C]Lambda[/C][C]0.357483681589321[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258079&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258079&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-2.69986015703425
beta0.642516318410679
S.D.4.37715309947275
T-STAT0.146788632658993
p-value0.890399940164672
Lambda0.357483681589321


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')