FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationWed, 16 Dec 2009 12:13:23 -0700
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/Dec/16/t12609909752hk9ywxgc5csqzz.htm/, Retrieved Tue, 30 Apr 2024 15:28:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=68553, Retrieved Tue, 30 Apr 2024 15:28:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D          [Standard Deviation-Mean Plot] [] [2009-12-16 19:13:23] [c88a5f1b97e332c6387d668c465455af] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19915
19843
19761
20858
21968
23061
22661
22269
21857
21568
21274
20987
19683
19381
19071
20772
22485
24181
23479
22782
22067
21489
20903
20330
19736
19483
19242
20334
21423
22523
21986
21462
20908
20575
20237
19904
19610
19251
18941
20450
21946
23409
22741
22069
21539
21189
20960
20704
19697
19598
19456
20316
21083
22158
21469
20892
20578
20233
19947
20049

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=68553&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=68553&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68553&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
121335.16666666671104.102418942713300
221385.251646.719445387765110
320651.08333333331028.182992055173281
421067.41666666671373.980247200444468
520456.3333333333816.1653501514742702

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 21335.1666666667 & 1104.10241894271 & 3300 \tabularnewline
2 & 21385.25 & 1646.71944538776 & 5110 \tabularnewline
3 & 20651.0833333333 & 1028.18299205517 & 3281 \tabularnewline
4 & 21067.4166666667 & 1373.98024720044 & 4468 \tabularnewline
5 & 20456.3333333333 & 816.165350151474 & 2702 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68553&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]21335.1666666667[/C][C]1104.10241894271[/C][C]3300[/C][/ROW]
[ROW][C]2[/C][C]21385.25[/C][C]1646.71944538776[/C][C]5110[/C][/ROW]
[ROW][C]3[/C][C]20651.0833333333[/C][C]1028.18299205517[/C][C]3281[/C][/ROW]
[ROW][C]4[/C][C]21067.4166666667[/C][C]1373.98024720044[/C][C]4468[/C][/ROW]
[ROW][C]5[/C][C]20456.3333333333[/C][C]816.165350151474[/C][C]2702[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68553&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68553&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
121335.16666666671104.102418942713300
221385.251646.719445387765110
320651.08333333331028.182992055173281
421067.41666666671373.980247200444468
520456.3333333333816.1653501514742702






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-11745.5574461978
beta0.616776619386738
S.D.0.277192851120947
T-STAT2.22508126343280
p-value0.112509904118503

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -11745.5574461978 \tabularnewline
beta & 0.616776619386738 \tabularnewline
S.D. & 0.277192851120947 \tabularnewline
T-STAT & 2.22508126343280 \tabularnewline
p-value & 0.112509904118503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68553&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11745.5574461978[/C][/ROW]
[ROW][C]beta[/C][C]0.616776619386738[/C][/ROW]
[ROW][C]S.D.[/C][C]0.277192851120947[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.22508126343280[/C][/ROW]
[ROW][C]p-value[/C][C]0.112509904118503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68553&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68553&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)
alpha-11745.5574461978
beta0.616776619386738
S.D.0.277192851120947
T-STAT2.22508126343280
p-value0.112509904118503






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-104.206617618776
beta11.1808881332667
S.D.4.58049880348004
T-STAT2.44097610608958
p-value0.092419726936492
Lambda-10.1808881332667

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -104.206617618776 \tabularnewline
beta & 11.1808881332667 \tabularnewline
S.D. & 4.58049880348004 \tabularnewline
T-STAT & 2.44097610608958 \tabularnewline
p-value & 0.092419726936492 \tabularnewline
Lambda & -10.1808881332667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68553&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-104.206617618776[/C][/ROW]
[ROW][C]beta[/C][C]11.1808881332667[/C][/ROW]
[ROW][C]S.D.[/C][C]4.58049880348004[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.44097610608958[/C][/ROW]
[ROW][C]p-value[/C][C]0.092419726936492[/C][/ROW]
[ROW][C]Lambda[/C][C]-10.1808881332667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68553&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68553&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-104.206617618776
beta11.1808881332667
S.D.4.58049880348004
T-STAT2.44097610608958
p-value0.092419726936492
Lambda-10.1808881332667


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')