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 Dec 2008 06:19:14 -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/2008/Dec/07/t12286559844u6iml2ymwtqoau.htm/, Retrieved Wed, 22 May 2024 15:30:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29946, Retrieved Wed, 22 May 2024 15:30:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact133

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Standard Deviation-Mean Plot] [] [2008-12-07 13:19:14] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-12-16 14:56:45 [Peter Van Doninck] [reply] 
De student heeft geen rekening gehouden met de p-waarde! Dit is rampzalig te noemen! De p-waarde bedraagt 78%! Hierdoor moeten we lambda gelijkstellen aan 1, en niet aan -0,15 zoals de student gedaan heeft.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
132.7
128.6
127.8
128.9
124.6
129.2
130.5
124.3
125.8
123.5
120.7
123.1
122.0
121.0
121.2
117.4
113.0
113.1
116.1
121.3
108.6
114.3
113.5
111.2
109.3
108.2
102.7
110.4
108.1
112.8
108.1
102.6
109.2
108.2
107.1
108.4
103.6
104.0
111.5
105.4

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29946&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29946&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29946&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1126.6416666666673.5225141675522112.0000000000000
2116.0583333333334.4965559210928513.4
3107.9252.8632864144037510.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 126.641666666667 & 3.52251416755221 & 12.0000000000000 \tabularnewline
2 & 116.058333333333 & 4.49655592109285 & 13.4 \tabularnewline
3 & 107.925 & 2.86328641440375 & 10.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29946&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]126.641666666667[/C][C]3.52251416755221[/C][C]12.0000000000000[/C][/ROW]
[ROW][C]2[/C][C]116.058333333333[/C][C]4.49655592109285[/C][C]13.4[/C][/ROW]
[ROW][C]3[/C][C]107.925[/C][C]2.86328641440375[/C][C]10.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29946&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29946&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
1126.6416666666673.5225141675522112.0000000000000
2116.0583333333334.4965559210928513.4
3107.9252.8632864144037510.2






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.240690234152006
beta0.0289776422120294
S.D.0.0826173269442842
T-STAT0.350745337374222
p-value0.785243537358121

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.240690234152006 \tabularnewline
beta & 0.0289776422120294 \tabularnewline
S.D. & 0.0826173269442842 \tabularnewline
T-STAT & 0.350745337374222 \tabularnewline
p-value & 0.785243537358121 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29946&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.240690234152006[/C][/ROW]
[ROW][C]beta[/C][C]0.0289776422120294[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0826173269442842[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.350745337374222[/C][/ROW]
[ROW][C]p-value[/C][C]0.785243537358121[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29946&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29946&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)
alpha0.240690234152006
beta0.0289776422120294
S.D.0.0826173269442842
T-STAT0.350745337374222
p-value0.785243537358121






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.24872964726427
beta1.15996162454001
S.D.2.57195850658364
T-STAT0.451003241914971
p-value0.730271899406968
Lambda-0.159961624540008

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.24872964726427 \tabularnewline
beta & 1.15996162454001 \tabularnewline
S.D. & 2.57195850658364 \tabularnewline
T-STAT & 0.451003241914971 \tabularnewline
p-value & 0.730271899406968 \tabularnewline
Lambda & -0.159961624540008 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29946&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.24872964726427[/C][/ROW]
[ROW][C]beta[/C][C]1.15996162454001[/C][/ROW]
[ROW][C]S.D.[/C][C]2.57195850658364[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.451003241914971[/C][/ROW]
[ROW][C]p-value[/C][C]0.730271899406968[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.159961624540008[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29946&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29946&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-4.24872964726427
beta1.15996162454001
S.D.2.57195850658364
T-STAT0.451003241914971
p-value0.730271899406968
Lambda-0.159961624540008


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')