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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 computationFri, 03 Dec 2010 12:32:59 +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/2010/Dec/03/t1291379622we6z4mhibghjivk.htm/, Retrieved Tue, 07 May 2024 09:38:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104689, Retrieved Tue, 07 May 2024 09:38:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact118

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] [Spreidings en gem...] [2010-12-03 12:32:59] [ac6548ae9fe194312a6a7ae1d0184c66] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
95.05
96.84
96.92
97.44
97.78
97.69
96.67
98.29
98.2
98.71
98.54
98.2
96.92
99.06
99.65
99.82
99.99
100.33
99.31
101.1
101.1
100.93
100.85
100.93
99.6
101.88
101.81
102.38
102.74
102.82
101.72
103.47
102.98
102.68
102.9
103.03
101.29
103.69
103.68
104.2
104.08
104.16
103.05
104.66
104.46
104.95
105.85
106.23
104.86
107.44
108.23
108.45
109.39
110.15
109.13
110.28
110.17
109.99
109.26
109.11
107.06
109.53
108.92
109.24
109.12
109
107.23
109.49
109.04
109.02
109.23
109.46

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104689&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104689&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104689&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
196.56251.042828685195552.39
297.60750.678546240134011.62000000000000
398.41250.2549999999999970.509999999999991
498.86251.335324554805562.89999999999999
5100.18250.744283772047551.78999999999999
6100.95250.1053169818531950.25
7101.41751.237965400701222.78
8102.68750.723112485486641.75
9102.89750.1545692940614860.349999999999994
10103.2151.306101068064792.91000000000000
11103.98750.6756416703154611.61
12105.37250.811269581170981.77000000000001
13107.2451.648079690629883.59
14109.73750.5639961583793551.15000000000001
15109.63250.525507691031571.06000000000000
16108.68751.113234776076762.47
17108.711.008464178838292.25999999999999
18109.18750.2048373338367110.439999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 96.5625 & 1.04282868519555 & 2.39 \tabularnewline
2 & 97.6075 & 0.67854624013401 & 1.62000000000000 \tabularnewline
3 & 98.4125 & 0.254999999999997 & 0.509999999999991 \tabularnewline
4 & 98.8625 & 1.33532455480556 & 2.89999999999999 \tabularnewline
5 & 100.1825 & 0.74428377204755 & 1.78999999999999 \tabularnewline
6 & 100.9525 & 0.105316981853195 & 0.25 \tabularnewline
7 & 101.4175 & 1.23796540070122 & 2.78 \tabularnewline
8 & 102.6875 & 0.72311248548664 & 1.75 \tabularnewline
9 & 102.8975 & 0.154569294061486 & 0.349999999999994 \tabularnewline
10 & 103.215 & 1.30610106806479 & 2.91000000000000 \tabularnewline
11 & 103.9875 & 0.675641670315461 & 1.61 \tabularnewline
12 & 105.3725 & 0.81126958117098 & 1.77000000000001 \tabularnewline
13 & 107.245 & 1.64807969062988 & 3.59 \tabularnewline
14 & 109.7375 & 0.563996158379355 & 1.15000000000001 \tabularnewline
15 & 109.6325 & 0.52550769103157 & 1.06000000000000 \tabularnewline
16 & 108.6875 & 1.11323477607676 & 2.47 \tabularnewline
17 & 108.71 & 1.00846417883829 & 2.25999999999999 \tabularnewline
18 & 109.1875 & 0.204837333836711 & 0.439999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104689&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]96.5625[/C][C]1.04282868519555[/C][C]2.39[/C][/ROW]
[ROW][C]2[/C][C]97.6075[/C][C]0.67854624013401[/C][C]1.62000000000000[/C][/ROW]
[ROW][C]3[/C][C]98.4125[/C][C]0.254999999999997[/C][C]0.509999999999991[/C][/ROW]
[ROW][C]4[/C][C]98.8625[/C][C]1.33532455480556[/C][C]2.89999999999999[/C][/ROW]
[ROW][C]5[/C][C]100.1825[/C][C]0.74428377204755[/C][C]1.78999999999999[/C][/ROW]
[ROW][C]6[/C][C]100.9525[/C][C]0.105316981853195[/C][C]0.25[/C][/ROW]
[ROW][C]7[/C][C]101.4175[/C][C]1.23796540070122[/C][C]2.78[/C][/ROW]
[ROW][C]8[/C][C]102.6875[/C][C]0.72311248548664[/C][C]1.75[/C][/ROW]
[ROW][C]9[/C][C]102.8975[/C][C]0.154569294061486[/C][C]0.349999999999994[/C][/ROW]
[ROW][C]10[/C][C]103.215[/C][C]1.30610106806479[/C][C]2.91000000000000[/C][/ROW]
[ROW][C]11[/C][C]103.9875[/C][C]0.675641670315461[/C][C]1.61[/C][/ROW]
[ROW][C]12[/C][C]105.3725[/C][C]0.81126958117098[/C][C]1.77000000000001[/C][/ROW]
[ROW][C]13[/C][C]107.245[/C][C]1.64807969062988[/C][C]3.59[/C][/ROW]
[ROW][C]14[/C][C]109.7375[/C][C]0.563996158379355[/C][C]1.15000000000001[/C][/ROW]
[ROW][C]15[/C][C]109.6325[/C][C]0.52550769103157[/C][C]1.06000000000000[/C][/ROW]
[ROW][C]16[/C][C]108.6875[/C][C]1.11323477607676[/C][C]2.47[/C][/ROW]
[ROW][C]17[/C][C]108.71[/C][C]1.00846417883829[/C][C]2.25999999999999[/C][/ROW]
[ROW][C]18[/C][C]109.1875[/C][C]0.204837333836711[/C][C]0.439999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104689&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104689&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
196.56251.042828685195552.39
297.60750.678546240134011.62000000000000
398.41250.2549999999999970.509999999999991
498.86251.335324554805562.89999999999999
5100.18250.744283772047551.78999999999999
6100.95250.1053169818531950.25
7101.41751.237965400701222.78
8102.68750.723112485486641.75
9102.89750.1545692940614860.349999999999994
10103.2151.306101068064792.91000000000000
11103.98750.6756416703154611.61
12105.37250.811269581170981.77000000000001
13107.2451.648079690629883.59
14109.73750.5639961583793551.15000000000001
15109.63250.525507691031571.06000000000000
16108.68751.113234776076762.47
17108.711.008464178838292.25999999999999
18109.18750.2048373338367110.439999999999998






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.781271765927993
beta3.81630737942352e-05
S.D.0.0251332896586700
T-STAT0.00151842732537284
p-value0.998807241717606

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.781271765927993 \tabularnewline
beta & 3.81630737942352e-05 \tabularnewline
S.D. & 0.0251332896586700 \tabularnewline
T-STAT & 0.00151842732537284 \tabularnewline
p-value & 0.998807241717606 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104689&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.781271765927993[/C][/ROW]
[ROW][C]beta[/C][C]3.81630737942352e-05[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0251332896586700[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.00151842732537284[/C][/ROW]
[ROW][C]p-value[/C][C]0.998807241717606[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104689&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104689&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)
alpha0.781271765927993
beta3.81630737942352e-05
S.D.0.0251332896586700
T-STAT0.00151842732537284
p-value0.998807241717606






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.76692638651731
beta0.494938430480485
S.D.4.63464825443083
T-STAT0.106790937156302
p-value0.916282386887232
Lambda0.505061569519515

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.76692638651731 \tabularnewline
beta & 0.494938430480485 \tabularnewline
S.D. & 4.63464825443083 \tabularnewline
T-STAT & 0.106790937156302 \tabularnewline
p-value & 0.916282386887232 \tabularnewline
Lambda & 0.505061569519515 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104689&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.76692638651731[/C][/ROW]
[ROW][C]beta[/C][C]0.494938430480485[/C][/ROW]
[ROW][C]S.D.[/C][C]4.63464825443083[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.106790937156302[/C][/ROW]
[ROW][C]p-value[/C][C]0.916282386887232[/C][/ROW]
[ROW][C]Lambda[/C][C]0.505061569519515[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104689&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104689&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-2.76692638651731
beta0.494938430480485
S.D.4.63464825443083
T-STAT0.106790937156302
p-value0.916282386887232
Lambda0.505061569519515


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')