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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, 24 Nov 2009 05:14:58 -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/Nov/24/t1259064959adj4hbhv7n63wmq.htm/, Retrieved Wed, 24 Apr 2024 10:12:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59025, Retrieved Wed, 24 Apr 2024 10:12:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

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]
F    D          [Standard Deviation-Mean Plot] [SHW WS8] [2009-11-24 12:14:58] [b7e46d23597387652ca7420fdeb9acca] [Current]
-   PD            [Standard Deviation-Mean Plot] [ws8 deel 4] [2009-11-27 17:50:36] [95cead3ebb75668735f848316249436a]
-   PD              [Standard Deviation-Mean Plot] [verb ws8] [2009-12-03 19:32:48] [95cead3ebb75668735f848316249436a]
-   PD              [Standard Deviation-Mean Plot] [verb ws8] [2009-12-04 17:00:39] [95cead3ebb75668735f848316249436a]
Feedback Forum
2009-12-04 13:10:04 [Franciscus Dierckx] [reply] 
in mijn post heb ik gezegt dat u moest nagaan of de hetereskelastisiteit verdwenen was. Maar nu zie ik dat u dit toch hebt gedaan. Ik download elk bestand om het zo in word te zien. Tussen dit deel en het vorige stond nog bijna een hele blanco pagina tusse. hierdoor heb ik erover gezien.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.6
8.5
8.3
7.8
7.8
8
8.6
8.9
8.9
8.6
8.3
8.3
8.3
8.4
8.5
8.4
8.6
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.6
8.4
8.1
8
8
8
8
7.9
7.8
7.8
7.9
8.1
8
7.6
7.3
7
6.8
7
7.1
7.2
7.1
6.9
6.7
6.7
6.6
6.9
7.3
7.5
7.3
7.1
6.9
7.1

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59025&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59025&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59025&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
18.383333333333330.3737605780402341.1
28.4750.07537783614444060.299999999999999
38.250.2679891449633390.700
47.466666666666670.4499158170416351.3
57.008333333333330.2745519766433810.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.38333333333333 & 0.373760578040234 & 1.1 \tabularnewline
2 & 8.475 & 0.0753778361444406 & 0.299999999999999 \tabularnewline
3 & 8.25 & 0.267989144963339 & 0.700 \tabularnewline
4 & 7.46666666666667 & 0.449915817041635 & 1.3 \tabularnewline
5 & 7.00833333333333 & 0.274551976643381 & 0.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59025&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]8.38333333333333[/C][C]0.373760578040234[/C][C]1.1[/C][/ROW]
[ROW][C]2[/C][C]8.475[/C][C]0.0753778361444406[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]3[/C][C]8.25[/C][C]0.267989144963339[/C][C]0.700[/C][/ROW]
[ROW][C]4[/C][C]7.46666666666667[/C][C]0.449915817041635[/C][C]1.3[/C][/ROW]
[ROW][C]5[/C][C]7.00833333333333[/C][C]0.274551976643381[/C][C]0.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59025&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59025&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
18.383333333333330.3737605780402341.1
28.4750.07537783614444060.299999999999999
38.250.2679891449633390.700
47.466666666666670.4499158170416351.3
57.008333333333330.2745519766433810.9






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.981229280570645
beta-0.0875255002110365
S.D.0.115342994466774
T-STAT-0.758828055536995
p-value0.503129681258511

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.981229280570645 \tabularnewline
beta & -0.0875255002110365 \tabularnewline
S.D. & 0.115342994466774 \tabularnewline
T-STAT & -0.758828055536995 \tabularnewline
p-value & 0.503129681258511 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59025&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.981229280570645[/C][/ROW]
[ROW][C]beta[/C][C]-0.0875255002110365[/C][/ROW]
[ROW][C]S.D.[/C][C]0.115342994466774[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.758828055536995[/C][/ROW]
[ROW][C]p-value[/C][C]0.503129681258511[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59025&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59025&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)
alpha0.981229280570645
beta-0.0875255002110365
S.D.0.115342994466774
T-STAT-0.758828055536995
p-value0.503129681258511






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.14852462731016
beta-3.65111371030143
S.D.4.35596872891907
T-STAT-0.838186391482074
p-value0.463450946996001
Lambda4.65111371030143

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.14852462731016 \tabularnewline
beta & -3.65111371030143 \tabularnewline
S.D. & 4.35596872891907 \tabularnewline
T-STAT & -0.838186391482074 \tabularnewline
p-value & 0.463450946996001 \tabularnewline
Lambda & 4.65111371030143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59025&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.14852462731016[/C][/ROW]
[ROW][C]beta[/C][C]-3.65111371030143[/C][/ROW]
[ROW][C]S.D.[/C][C]4.35596872891907[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.838186391482074[/C][/ROW]
[ROW][C]p-value[/C][C]0.463450946996001[/C][/ROW]
[ROW][C]Lambda[/C][C]4.65111371030143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59025&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59025&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)
alpha6.14852462731016
beta-3.65111371030143
S.D.4.35596872891907
T-STAT-0.838186391482074
p-value0.463450946996001
Lambda4.65111371030143


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')