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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, 22 Nov 2015 11:56:53 +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/2015/Nov/22/t1448193462sl0mb220ewyb99m.htm/, Retrieved Wed, 15 May 2024 21:54:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283786, Retrieved Wed, 15 May 2024 21:54:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [] [2015-11-22 11:43:11] [553dab97a9d8b6d0026004b85d73532b]
- RMPD    [Standard Deviation-Mean Plot] [] [2015-11-22 11:56:53] [a9d02bc5e77e4ed95e8bc9cdb21bd9af] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
31025
31068
31619
32020
30467
31960
31389
28863
33143
33350
29079
26505
24975
24644
26626
23977
23898
25583
25974
23529
27491
28053
27913
26706
26788
27600
32770
29623
29300
32152
30700
29463
32709
32823
34073
33551
32168
32833
37341
33747
34482
33309
33057
32809
35316
33989
35799
34508
34646
35203
38084
35005
36734
35716
34543
34340
35094
38730
37805
33815
36486
34960
38054
35283
37361
35536
36103
33886
35416
38053
37181
34787
36074
34966
37482
36109
35520
36123
36256
32456
37748
38461
36344
35865

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=283786&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=283786&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283786&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
1308741934.666802414216845
225780.751598.056326518964524
330962.66666666672396.54411538157285
434113.16666666671478.165314492835173
535809.58333333331628.450209043354915
636092.16666666671345.635424983194168
7361171514.720376235116005

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 30874 & 1934.66680241421 & 6845 \tabularnewline
2 & 25780.75 & 1598.05632651896 & 4524 \tabularnewline
3 & 30962.6666666667 & 2396.5441153815 & 7285 \tabularnewline
4 & 34113.1666666667 & 1478.16531449283 & 5173 \tabularnewline
5 & 35809.5833333333 & 1628.45020904335 & 4915 \tabularnewline
6 & 36092.1666666667 & 1345.63542498319 & 4168 \tabularnewline
7 & 36117 & 1514.72037623511 & 6005 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283786&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]30874[/C][C]1934.66680241421[/C][C]6845[/C][/ROW]
[ROW][C]2[/C][C]25780.75[/C][C]1598.05632651896[/C][C]4524[/C][/ROW]
[ROW][C]3[/C][C]30962.6666666667[/C][C]2396.5441153815[/C][C]7285[/C][/ROW]
[ROW][C]4[/C][C]34113.1666666667[/C][C]1478.16531449283[/C][C]5173[/C][/ROW]
[ROW][C]5[/C][C]35809.5833333333[/C][C]1628.45020904335[/C][C]4915[/C][/ROW]
[ROW][C]6[/C][C]36092.1666666667[/C][C]1345.63542498319[/C][C]4168[/C][/ROW]
[ROW][C]7[/C][C]36117[/C][C]1514.72037623511[/C][C]6005[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283786&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283786&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
1308741934.666802414216845
225780.751598.056326518964524
330962.66666666672396.54411538157285
434113.16666666671478.165314492835173
535809.58333333331628.450209043354915
636092.16666666671345.635424983194168
7361171514.720376235116005






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2918.23307012573
beta-0.0371334828181336
S.D.0.0379935060131287
T-STAT-0.977363942282716
p-value0.373275673224034

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2918.23307012573 \tabularnewline
beta & -0.0371334828181336 \tabularnewline
S.D. & 0.0379935060131287 \tabularnewline
T-STAT & -0.977363942282716 \tabularnewline
p-value & 0.373275673224034 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283786&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2918.23307012573[/C][/ROW]
[ROW][C]beta[/C][C]-0.0371334828181336[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0379935060131287[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.977363942282716[/C][/ROW]
[ROW][C]p-value[/C][C]0.373275673224034[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283786&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283786&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)
alpha2918.23307012573
beta-0.0371334828181336
S.D.0.0379935060131287
T-STAT-0.977363942282716
p-value0.373275673224034






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha13.7362534524543
beta-0.60766761338916
S.D.0.643934313715236
T-STAT-0.943679503400227
p-value0.388663265161391
Lambda1.60766761338916

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.7362534524543 \tabularnewline
beta & -0.60766761338916 \tabularnewline
S.D. & 0.643934313715236 \tabularnewline
T-STAT & -0.943679503400227 \tabularnewline
p-value & 0.388663265161391 \tabularnewline
Lambda & 1.60766761338916 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283786&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.7362534524543[/C][/ROW]
[ROW][C]beta[/C][C]-0.60766761338916[/C][/ROW]
[ROW][C]S.D.[/C][C]0.643934313715236[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.943679503400227[/C][/ROW]
[ROW][C]p-value[/C][C]0.388663265161391[/C][/ROW]
[ROW][C]Lambda[/C][C]1.60766761338916[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283786&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283786&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)
alpha13.7362534524543
beta-0.60766761338916
S.D.0.643934313715236
T-STAT-0.943679503400227
p-value0.388663265161391
Lambda1.60766761338916


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')