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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, 14 Dec 2010 12:53:43 +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/2010/Dec/14/t1292331315u4i0mqrm0ynlbma.htm/, Retrieved Thu, 02 May 2024 16:55:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109539, Retrieved Thu, 02 May 2024 16:55:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMPD    [Standard Deviation-Mean Plot] [] [2010-12-14 12:53:43] [6d73806852b9f5b8ac8b27fc8f7b83c4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19876
45335
48674
156392
100837
101605
532850
294189
80763
105995
25045
90474
48481
50730
68694
207716
99132
104012
422632
364974
82687
66834
28408
97073
40284
24421
116346
72120
108751
91738
402216
390070
106045
110070
70668
167841
28607
95371
30605
131063
81214
85451
455196
454570
63114
74287
42350
113375

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109539&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]2 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=109539&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109539&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1133502.916666667145520.993221196512974
2136781.083333333128729.296109357394224
3141714.166666667124558.304068148377795
4137933.583333333151238.614042638426589

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 133502.916666667 & 145520.993221196 & 512974 \tabularnewline
2 & 136781.083333333 & 128729.296109357 & 394224 \tabularnewline
3 & 141714.166666667 & 124558.304068148 & 377795 \tabularnewline
4 & 137933.583333333 & 151238.614042638 & 426589 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109539&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]133502.916666667[/C][C]145520.993221196[/C][C]512974[/C][/ROW]
[ROW][C]2[/C][C]136781.083333333[/C][C]128729.296109357[/C][C]394224[/C][/ROW]
[ROW][C]3[/C][C]141714.166666667[/C][C]124558.304068148[/C][C]377795[/C][/ROW]
[ROW][C]4[/C][C]137933.583333333[/C][C]151238.614042638[/C][C]426589[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109539&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109539&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
1133502.916666667145520.993221196512974
2136781.083333333128729.296109357394224
3141714.166666667124558.304068148377795
4137933.583333333151238.614042638426589






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha434261.676170565
beta-2.15844874794176
S.D.2.21208545747739
T-STAT-0.975752876384441
p-value0.43209620219394

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 434261.676170565 \tabularnewline
beta & -2.15844874794176 \tabularnewline
S.D. & 2.21208545747739 \tabularnewline
T-STAT & -0.975752876384441 \tabularnewline
p-value & 0.43209620219394 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109539&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]434261.676170565[/C][/ROW]
[ROW][C]beta[/C][C]-2.15844874794176[/C][/ROW]
[ROW][C]S.D.[/C][C]2.21208545747739[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.975752876384441[/C][/ROW]
[ROW][C]p-value[/C][C]0.43209620219394[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109539&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109539&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)
alpha434261.676170565
beta-2.15844874794176
S.D.2.21208545747739
T-STAT-0.975752876384441
p-value0.43209620219394






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha37.9547310011449
beta-2.2083085521521
S.D.2.19295065435810
T-STAT-1.00700330295325
p-value0.419963582470251
Lambda3.2083085521521

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 37.9547310011449 \tabularnewline
beta & -2.2083085521521 \tabularnewline
S.D. & 2.19295065435810 \tabularnewline
T-STAT & -1.00700330295325 \tabularnewline
p-value & 0.419963582470251 \tabularnewline
Lambda & 3.2083085521521 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109539&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]37.9547310011449[/C][/ROW]
[ROW][C]beta[/C][C]-2.2083085521521[/C][/ROW]
[ROW][C]S.D.[/C][C]2.19295065435810[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.00700330295325[/C][/ROW]
[ROW][C]p-value[/C][C]0.419963582470251[/C][/ROW]
[ROW][C]Lambda[/C][C]3.2083085521521[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109539&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109539&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)
alpha37.9547310011449
beta-2.2083085521521
S.D.2.19295065435810
T-STAT-1.00700330295325
p-value0.419963582470251
Lambda3.2083085521521


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')