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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, 29 May 2008 02:46:33 -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/2008/May/29/t1212050839szq1vmul977yayo.htm/, Retrieved Wed, 15 May 2024 23:21:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13494, Retrieved Wed, 15 May 2024 23:21:25 +0000
QR Codes:

Original text written by user:Kara Van den Acker
IsPrivate?No (this computation is public)
User-defined keywordsinleiding tot kwantitatief onderzoek
Estimated Impact221

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] [opgave8(oef3)] [2008-05-29 08:46:33] [90941d2aa133223de960c34c4b1bc975] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
107,5
107,5
113,3
107,8
104,5
105,1
104,2
106,6
103,8
107,7
106,4
110
113,2
113,9
112
113,9
113,1
111,7
110,7
113,5
114
112,7
112,2
115,8
118,4
118,8
123,9
118
120,2
118,7
119,8
124,8
121,3
120,2
118,3
129,6
130,2
127,19
133,1
129,12
123,28
123,36
124,13
126,96
127,14
123,7
123,67
130,19
134,01
124,96
129,96
128,32
132,38
126,25
128,91
131,42
129,44
126,86
126,71
131,63
132,78
126,61
132,84
123,14
128,13
125,49
126,48
130,86
127,32
126,56
126,64
129,26
126,47
135,38
135,5
132,22
122,62
125,16
128,5
133,86
128,87
125,07
125,25
132,16
130,24

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13494&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13494&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13494&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1107.0333333333332.675930877396889.5
2113.0583333333331.329017636748245.09999999999999
31213.4745830358083611.6
4126.8366666666673.291331129810649.82
5129.23752.761989154741399.05
6128.0091666666672.932651478946959.7
7129.2554.4494422530960412.88

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 107.033333333333 & 2.67593087739688 & 9.5 \tabularnewline
2 & 113.058333333333 & 1.32901763674824 & 5.09999999999999 \tabularnewline
3 & 121 & 3.47458303580836 & 11.6 \tabularnewline
4 & 126.836666666667 & 3.29133112981064 & 9.82 \tabularnewline
5 & 129.2375 & 2.76198915474139 & 9.05 \tabularnewline
6 & 128.009166666667 & 2.93265147894695 & 9.7 \tabularnewline
7 & 129.255 & 4.44944225309604 & 12.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13494&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]107.033333333333[/C][C]2.67593087739688[/C][C]9.5[/C][/ROW]
[ROW][C]2[/C][C]113.058333333333[/C][C]1.32901763674824[/C][C]5.09999999999999[/C][/ROW]
[ROW][C]3[/C][C]121[/C][C]3.47458303580836[/C][C]11.6[/C][/ROW]
[ROW][C]4[/C][C]126.836666666667[/C][C]3.29133112981064[/C][C]9.82[/C][/ROW]
[ROW][C]5[/C][C]129.2375[/C][C]2.76198915474139[/C][C]9.05[/C][/ROW]
[ROW][C]6[/C][C]128.009166666667[/C][C]2.93265147894695[/C][C]9.7[/C][/ROW]
[ROW][C]7[/C][C]129.255[/C][C]4.44944225309604[/C][C]12.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13494&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13494&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
1107.0333333333332.675930877396889.5
2113.0583333333331.329017636748245.09999999999999
31213.4745830358083611.6
4126.8366666666673.291331129810649.82
5129.23752.761989154741399.05
6128.0091666666672.932651478946959.7
7129.2554.4494422530960412.88






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-4.58358198963498
beta0.0620296800135685
S.D.0.0389557455594618
T-STAT1.59231145811051
p-value0.172192197837167

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -4.58358198963498 \tabularnewline
beta & 0.0620296800135685 \tabularnewline
S.D. & 0.0389557455594618 \tabularnewline
T-STAT & 1.59231145811051 \tabularnewline
p-value & 0.172192197837167 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13494&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.58358198963498[/C][/ROW]
[ROW][C]beta[/C][C]0.0620296800135685[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0389557455594618[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.59231145811051[/C][/ROW]
[ROW][C]p-value[/C][C]0.172192197837167[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13494&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13494&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-4.58358198963498
beta0.0620296800135685
S.D.0.0389557455594618
T-STAT1.59231145811051
p-value0.172192197837167






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-12.6701085199403
beta2.85527630207946
S.D.1.85136616270397
T-STAT1.54225369329925
p-value0.183653179469274
Lambda-1.85527630207946

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.6701085199403 \tabularnewline
beta & 2.85527630207946 \tabularnewline
S.D. & 1.85136616270397 \tabularnewline
T-STAT & 1.54225369329925 \tabularnewline
p-value & 0.183653179469274 \tabularnewline
Lambda & -1.85527630207946 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13494&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.6701085199403[/C][/ROW]
[ROW][C]beta[/C][C]2.85527630207946[/C][/ROW]
[ROW][C]S.D.[/C][C]1.85136616270397[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.54225369329925[/C][/ROW]
[ROW][C]p-value[/C][C]0.183653179469274[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.85527630207946[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13494&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13494&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-12.6701085199403
beta2.85527630207946
S.D.1.85136616270397
T-STAT1.54225369329925
p-value0.183653179469274
Lambda-1.85527630207946


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')