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Description of Statistical Computation

Author's title

marina cabraja mar205 opgave 8.3 spreidings- en gemiddeldegrafieken koffie,...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationFri, 06 May 2011 12:54:43 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/06/t1304686273gh8pe0nq3uuvkgs.htm/, Retrieved Sun, 12 May 2024 14:59:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121162, Retrieved Sun, 12 May 2024 14:59:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact186

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] [marina cabraja ma...] [2011-05-06 12:54:43] [66fafd9d0cf16d279c92f5b45ad11920] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106.42
106.22
106.32
105.81
105.92
107.54
107.34
107.24
107.74
105.71
105.41
106.22
106.32
106.12
106.22
105.92
105.71
105.71
105.92
105.71
105.41
104.49
101.35
99.72
99.01
97.89
95.86
94.95
95.35
95.15
95.46
95.56
95.05
94.64
93.63
93.12
93.53
97.18
96.27
95.15
97.08
101.95
103.07
103.68
102.87
102.56
103.38
103.27
102.89
102.69
101.54
102.9
101.53
101.96
101.99
101.11
101.75
101.71
104.11
103.57
103.32
103.64
103.68
103.79
103.01
101.54
101.9
103.68
104.62
104.11
105.04
104.83
105.05
104.68
107.32
109.9
109.77
110.69
110.54
110.89
110.95
109.73
110.85
110.39
110.58
110.4
111.07
110.86
111.38
111.44
110.36
110.06
108.34
107.94
107.39
107.1
107.61
107.74
106.9
106.71
106.6
108.21
110.54
110.91
109.51
110.27
111.39
112.13
111.64

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' @ www.wessa.org

\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' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121162&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' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121162&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121162&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' @ www.wessa.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1106.4908333333330.779958720741432.33
2104.8833333333332.113937873574666.6
395.47251.615516382404775.89
499.99916666666673.8073217939155410.15
5102.31250.9143415415179683
6103.5966666666671.065895554608113.5
7109.232.263247867355876.27
8109.7433333333331.593249015139324.34
9109.0433333333331.975694737799775.53

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 106.490833333333 & 0.77995872074143 & 2.33 \tabularnewline
2 & 104.883333333333 & 2.11393787357466 & 6.6 \tabularnewline
3 & 95.4725 & 1.61551638240477 & 5.89 \tabularnewline
4 & 99.9991666666667 & 3.80732179391554 & 10.15 \tabularnewline
5 & 102.3125 & 0.914341541517968 & 3 \tabularnewline
6 & 103.596666666667 & 1.06589555460811 & 3.5 \tabularnewline
7 & 109.23 & 2.26324786735587 & 6.27 \tabularnewline
8 & 109.743333333333 & 1.59324901513932 & 4.34 \tabularnewline
9 & 109.043333333333 & 1.97569473779977 & 5.53 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121162&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]106.490833333333[/C][C]0.77995872074143[/C][C]2.33[/C][/ROW]
[ROW][C]2[/C][C]104.883333333333[/C][C]2.11393787357466[/C][C]6.6[/C][/ROW]
[ROW][C]3[/C][C]95.4725[/C][C]1.61551638240477[/C][C]5.89[/C][/ROW]
[ROW][C]4[/C][C]99.9991666666667[/C][C]3.80732179391554[/C][C]10.15[/C][/ROW]
[ROW][C]5[/C][C]102.3125[/C][C]0.914341541517968[/C][C]3[/C][/ROW]
[ROW][C]6[/C][C]103.596666666667[/C][C]1.06589555460811[/C][C]3.5[/C][/ROW]
[ROW][C]7[/C][C]109.23[/C][C]2.26324786735587[/C][C]6.27[/C][/ROW]
[ROW][C]8[/C][C]109.743333333333[/C][C]1.59324901513932[/C][C]4.34[/C][/ROW]
[ROW][C]9[/C][C]109.043333333333[/C][C]1.97569473779977[/C][C]5.53[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121162&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121162&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
1106.4908333333330.779958720741432.33
2104.8833333333332.113937873574666.6
395.47251.615516382404775.89
499.99916666666673.8073217939155410.15
5102.31250.9143415415179683
6103.5966666666671.065895554608113.5
7109.232.263247867355876.27
8109.7433333333331.593249015139324.34
9109.0433333333331.975694737799775.53






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.53319548697668
beta-0.0262227241421308
S.D.0.0724627041805513
T-STAT-0.36187890637911
p-value0.728119897892927

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.53319548697668 \tabularnewline
beta & -0.0262227241421308 \tabularnewline
S.D. & 0.0724627041805513 \tabularnewline
T-STAT & -0.36187890637911 \tabularnewline
p-value & 0.728119897892927 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121162&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.53319548697668[/C][/ROW]
[ROW][C]beta[/C][C]-0.0262227241421308[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0724627041805513[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.36187890637911[/C][/ROW]
[ROW][C]p-value[/C][C]0.728119897892927[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121162&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121162&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)
alpha4.53319548697668
beta-0.0262227241421308
S.D.0.0724627041805513
T-STAT-0.36187890637911
p-value0.728119897892927






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.74471794587261
beta-0.703880054793058
S.D.4.06008408697055
T-STAT-0.173365881029883
p-value0.867270553905419
Lambda1.70388005479306

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.74471794587261 \tabularnewline
beta & -0.703880054793058 \tabularnewline
S.D. & 4.06008408697055 \tabularnewline
T-STAT & -0.173365881029883 \tabularnewline
p-value & 0.867270553905419 \tabularnewline
Lambda & 1.70388005479306 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121162&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.74471794587261[/C][/ROW]
[ROW][C]beta[/C][C]-0.703880054793058[/C][/ROW]
[ROW][C]S.D.[/C][C]4.06008408697055[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.173365881029883[/C][/ROW]
[ROW][C]p-value[/C][C]0.867270553905419[/C][/ROW]
[ROW][C]Lambda[/C][C]1.70388005479306[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121162&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121162&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)
alpha3.74471794587261
beta-0.703880054793058
S.D.4.06008408697055
T-STAT-0.173365881029883
p-value0.867270553905419
Lambda1.70388005479306


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')