FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 03:52:41 -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/t1244368403oga95djpc2bzn4v.htm/, Retrieved Sun, 12 May 2024 18:13:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42102, Retrieved Sun, 12 May 2024 18:13:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsThomas Cammaert
Estimated Impact147

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] [Opdracht 8 Oefeni...] [2009-06-07 09:52:41] [61792449e3c1c0e0abc5b9baf921991f] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.5968
8.5114
8.3884
8.2671
8.2410
8.3177
8.4070
8.3917
8.4145
8.5245
8.6289
8.6622
8.9055
8.9770
9.1264
9.1120
9.0576
9.2106
9.2637
9.3107
9.6744
9.5780
9.4166
9.4359
9.2275
9.1828
9.0594
9.1358
9.2208
9.1137
9.2689
9.2489
9.1679
9.1051
9.0818
9.0961
9.1733
9.1455
9.2265
9.1541
9.1559
9.1182
9.1856
9.2378
9.0682
9.0105
8.9939
9.0228
9.1368
9.1763
9.2346
9.1653
9.1277
9.1430
9.1962
9.1861
9.0920
9.0620
8.9981
8.9819
9.0476
9.0852
9.0884
9.1670
9.1931
9.2628
9.4276
9.3398
9.3342
9.4223
9.5614
9.4316
9.3111
9.3414
9.4017
9.3346
9.3310
9.2349
9.2170
9.2098
9.2665
9.2533
9.1008
9.0377
9.0795
9.1896
9.2992
9.2372
9.2061
9.3290
9.1842
9.3231
9.2835
9.1735
9.2889
9.4319

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42102&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42102&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42102&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' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
18.445933333333330.1390374202954880.421200000000001
29.25570.2373329766766130.7689
39.159058333333330.07048473023974570.209500000000000
49.124358333333330.08271695943872620.2439
59.1250.07814923951238180.252700000000001
69.280083333333330.1651448335873880.513800000000002
79.253316666666670.1041128481577330.364000000000001
89.252141666666670.09276785746576190.352400000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.44593333333333 & 0.139037420295488 & 0.421200000000001 \tabularnewline
2 & 9.2557 & 0.237332976676613 & 0.7689 \tabularnewline
3 & 9.15905833333333 & 0.0704847302397457 & 0.209500000000000 \tabularnewline
4 & 9.12435833333333 & 0.0827169594387262 & 0.2439 \tabularnewline
5 & 9.125 & 0.0781492395123818 & 0.252700000000001 \tabularnewline
6 & 9.28008333333333 & 0.165144833587388 & 0.513800000000002 \tabularnewline
7 & 9.25331666666667 & 0.104112848157733 & 0.364000000000001 \tabularnewline
8 & 9.25214166666667 & 0.0927678574657619 & 0.352400000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42102&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]8.44593333333333[/C][C]0.139037420295488[/C][C]0.421200000000001[/C][/ROW]
[ROW][C]2[/C][C]9.2557[/C][C]0.237332976676613[/C][C]0.7689[/C][/ROW]
[ROW][C]3[/C][C]9.15905833333333[/C][C]0.0704847302397457[/C][C]0.209500000000000[/C][/ROW]
[ROW][C]4[/C][C]9.12435833333333[/C][C]0.0827169594387262[/C][C]0.2439[/C][/ROW]
[ROW][C]5[/C][C]9.125[/C][C]0.0781492395123818[/C][C]0.252700000000001[/C][/ROW]
[ROW][C]6[/C][C]9.28008333333333[/C][C]0.165144833587388[/C][C]0.513800000000002[/C][/ROW]
[ROW][C]7[/C][C]9.25331666666667[/C][C]0.104112848157733[/C][C]0.364000000000001[/C][/ROW]
[ROW][C]8[/C][C]9.25214166666667[/C][C]0.0927678574657619[/C][C]0.352400000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42102&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42102&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
18.445933333333330.1390374202954880.421200000000001
29.25570.2373329766766130.7689
39.159058333333330.07048473023974570.209500000000000
49.124358333333330.08271695943872620.2439
59.1250.07814923951238180.252700000000001
69.280083333333330.1651448335873880.513800000000002
79.253316666666670.1041128481577330.364000000000001
89.252141666666670.09276785746576190.352400000000001






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0807832211119232
beta0.00443759477195344
S.D.0.0841772125396129
T-STAT0.0527172929356048
p-value0.959668521249986

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0807832211119232 \tabularnewline
beta & 0.00443759477195344 \tabularnewline
S.D. & 0.0841772125396129 \tabularnewline
T-STAT & 0.0527172929356048 \tabularnewline
p-value & 0.959668521249986 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42102&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0807832211119232[/C][/ROW]
[ROW][C]beta[/C][C]0.00443759477195344[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0841772125396129[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0527172929356048[/C][/ROW]
[ROW][C]p-value[/C][C]0.959668521249986[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42102&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42102&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)
alpha0.0807832211119232
beta0.00443759477195344
S.D.0.0841772125396129
T-STAT0.0527172929356048
p-value0.959668521249986






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.614377881526363
beta-0.71469069268375
S.D.5.48481653277079
T-STAT-0.130303482060631
p-value0.9005852188939
Lambda1.71469069268375

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.614377881526363 \tabularnewline
beta & -0.71469069268375 \tabularnewline
S.D. & 5.48481653277079 \tabularnewline
T-STAT & -0.130303482060631 \tabularnewline
p-value & 0.9005852188939 \tabularnewline
Lambda & 1.71469069268375 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42102&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.614377881526363[/C][/ROW]
[ROW][C]beta[/C][C]-0.71469069268375[/C][/ROW]
[ROW][C]S.D.[/C][C]5.48481653277079[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.130303482060631[/C][/ROW]
[ROW][C]p-value[/C][C]0.9005852188939[/C][/ROW]
[ROW][C]Lambda[/C][C]1.71469069268375[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42102&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42102&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-0.614377881526363
beta-0.71469069268375
S.D.5.48481653277079
T-STAT-0.130303482060631
p-value0.9005852188939
Lambda1.71469069268375


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')