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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 computationThu, 28 May 2009 14:03:13 -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/May/28/t1243541293vnw4eyrkotvtaxt.htm/, Retrieved Mon, 06 May 2024 08:01:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40710, Retrieved Mon, 06 May 2024 08:01:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172

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] [Opgave 8 Oefening...] [2009-05-28 19:48:48] [74be16979710d4c4e7c6647856088456]
-   P     [Standard Deviation-Mean Plot] [Opgave 8 Oefening...] [2009-05-28 20:03:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-   P       [Standard Deviation-Mean Plot] [Opgave 8 Oefening...] [2009-06-02 19:39:40] [74be16979710d4c4e7c6647856088456]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3779.7
3795.5
3813.1
3826.9
3833.3
3844.8
3851.3
3851.8
3854.1
3858.4
3861.6
3856.3
3855.8
3860.4
3855.1
3839.5
3833
3833.6
3826.8
3818.2
3811.4
3806.8
3810.3
3818.2
3858.9
3867.8
3872.3
3873.3
3876.7
3882.6
3883.5
3882.2
3888.1
3893.7
3901.9
3914.3
3930.3
3948.3
3971.5
3990.1
3993
3998
4015.8
4041.2
4060.7
4076.7
4103
4125.3
4139.7
4146.7
4158
4155.1
4144.8
4148.2
4142.5
4142.1
4145.4
4146.3
4143.5
4149.2
4158.9
4166.1
4179.1
4194.4
4211.7
4226.3
4235.8
4243.6
4258.7
4278.2
4298
4315.1
4334.3
4356
4374
4395.5

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=40710&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=40710&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40710&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
13835.5666666666726.765287333795181.9000000000001
23830.7583333333318.795863100612653.5999999999999
33882.9416666666715.191292860974055.4000000000001
44021.1583333333361.010944745905195
54146.791666666675.3099320888198918.3000000000002
64230.4916666666750.9668423109723156.200000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3835.56666666667 & 26.7652873337951 & 81.9000000000001 \tabularnewline
2 & 3830.75833333333 & 18.7958631006126 & 53.5999999999999 \tabularnewline
3 & 3882.94166666667 & 15.1912928609740 & 55.4000000000001 \tabularnewline
4 & 4021.15833333333 & 61.010944745905 & 195 \tabularnewline
5 & 4146.79166666667 & 5.30993208881989 & 18.3000000000002 \tabularnewline
6 & 4230.49166666667 & 50.9668423109723 & 156.200000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40710&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]3835.56666666667[/C][C]26.7652873337951[/C][C]81.9000000000001[/C][/ROW]
[ROW][C]2[/C][C]3830.75833333333[/C][C]18.7958631006126[/C][C]53.5999999999999[/C][/ROW]
[ROW][C]3[/C][C]3882.94166666667[/C][C]15.1912928609740[/C][C]55.4000000000001[/C][/ROW]
[ROW][C]4[/C][C]4021.15833333333[/C][C]61.010944745905[/C][C]195[/C][/ROW]
[ROW][C]5[/C][C]4146.79166666667[/C][C]5.30993208881989[/C][C]18.3000000000002[/C][/ROW]
[ROW][C]6[/C][C]4230.49166666667[/C][C]50.9668423109723[/C][C]156.200000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40710&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40710&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
13835.5666666666726.765287333795181.9000000000001
23830.7583333333318.795863100612653.5999999999999
33882.9416666666715.191292860974055.4000000000001
44021.1583333333361.010944745905195
54146.791666666675.3099320888198918.3000000000002
64230.4916666666750.9668423109723156.200000000001






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-136.822798584333
beta0.0417149290463247
S.D.0.0605837073755433
T-STAT0.688550286098278
p-value0.528961485409247

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -136.822798584333 \tabularnewline
beta & 0.0417149290463247 \tabularnewline
S.D. & 0.0605837073755433 \tabularnewline
T-STAT & 0.688550286098278 \tabularnewline
p-value & 0.528961485409247 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40710&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-136.822798584333[/C][/ROW]
[ROW][C]beta[/C][C]0.0417149290463247[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0605837073755433[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.688550286098278[/C][/ROW]
[ROW][C]p-value[/C][C]0.528961485409247[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40710&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40710&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-136.822798584333
beta0.0417149290463247
S.D.0.0605837073755433
T-STAT0.688550286098278
p-value0.528961485409247






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-7.20525968224207
beta1.24399801545070
S.D.10.5193701023501
T-STAT0.118257842755507
p-value0.911564083176234
Lambda-0.243998015450702

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.20525968224207 \tabularnewline
beta & 1.24399801545070 \tabularnewline
S.D. & 10.5193701023501 \tabularnewline
T-STAT & 0.118257842755507 \tabularnewline
p-value & 0.911564083176234 \tabularnewline
Lambda & -0.243998015450702 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40710&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.20525968224207[/C][/ROW]
[ROW][C]beta[/C][C]1.24399801545070[/C][/ROW]
[ROW][C]S.D.[/C][C]10.5193701023501[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.118257842755507[/C][/ROW]
[ROW][C]p-value[/C][C]0.911564083176234[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.243998015450702[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40710&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40710&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-7.20525968224207
beta1.24399801545070
S.D.10.5193701023501
T-STAT0.118257842755507
p-value0.911564083176234
Lambda-0.243998015450702


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')