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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 computationSun, 16 Jan 2011 12:31:47 +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/Jan/16/t12951809816wh9702egm1zxp6.htm/, Retrieved Tue, 07 May 2024 21:14:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117385, Retrieved Tue, 07 May 2024 21:14:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact166

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [opgave 6bis deel 1.2] [2010-11-17 09:49:18] [4fbbbfaec2662edf81d9d4e1604b565e]
- R PD  [(Partial) Autocorrelation Function] [Autocorrelatie ei...] [2011-01-16 10:14:11] [4fbbbfaec2662edf81d9d4e1604b565e]
- RMPD      [Standard Deviation-Mean Plot] [Oef 8 eigen waard...] [2011-01-16 12:31:47] [63c073ae7ca4ef34c1cc2bde848eb699] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
89.3
88.1
93.6
79.7
83.8
62.3
62.3
77.6
80.3
97
94
75.1
74
77.6
75.1
85
75.4
63.2
64.7
77
82.6
97.6
99
75.3
71.6
76.8
83.9
79.7
77.5
73.1
65.6
85.2
98.3
98
100.6
84.1
76.7
82.4
95.5
79.9
82.4
83.6
73.1
91.1
118.6
102.9
111.8
93.9
91.6
92
91.1
97.5
94.7
96.7
78.7
103.5
113.8
106.1
120.3
114.2
106.3
98.8
113.1
97.7
116.3
107.2
94.5
123.5
126.6
126.5
141.4
124.3
124.9
108.9
126.7
107.7
121.8
118.3
122.8
149.5
147
139.3
162.1
142.2
141.4
124.7
114
126.6
121.9
125.1
122.1
135.9
148.4
137.5
145.3
139.9
128.2
115.4
124.7
111.5
121.1
122.5
127.4
143.7
157.8
148.8
162.9
153.9

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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117385&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117385&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117385&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
181.92511.475517417528534.7
278.87510.961430314765235.8
382.866666666666711.224189246552535
490.991666666666714.191768314018845.5
5100.01666666666711.932829682955541.6
6114.68333333333314.286410156211946.9
7130.93333333333316.948871420370254.4
8131.910.854575909809634.4
9134.82517.625349770868551.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 81.925 & 11.4755174175285 & 34.7 \tabularnewline
2 & 78.875 & 10.9614303147652 & 35.8 \tabularnewline
3 & 82.8666666666667 & 11.2241892465525 & 35 \tabularnewline
4 & 90.9916666666667 & 14.1917683140188 & 45.5 \tabularnewline
5 & 100.016666666667 & 11.9328296829555 & 41.6 \tabularnewline
6 & 114.683333333333 & 14.2864101562119 & 46.9 \tabularnewline
7 & 130.933333333333 & 16.9488714203702 & 54.4 \tabularnewline
8 & 131.9 & 10.8545759098096 & 34.4 \tabularnewline
9 & 134.825 & 17.6253497708685 & 51.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117385&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]81.925[/C][C]11.4755174175285[/C][C]34.7[/C][/ROW]
[ROW][C]2[/C][C]78.875[/C][C]10.9614303147652[/C][C]35.8[/C][/ROW]
[ROW][C]3[/C][C]82.8666666666667[/C][C]11.2241892465525[/C][C]35[/C][/ROW]
[ROW][C]4[/C][C]90.9916666666667[/C][C]14.1917683140188[/C][C]45.5[/C][/ROW]
[ROW][C]5[/C][C]100.016666666667[/C][C]11.9328296829555[/C][C]41.6[/C][/ROW]
[ROW][C]6[/C][C]114.683333333333[/C][C]14.2864101562119[/C][C]46.9[/C][/ROW]
[ROW][C]7[/C][C]130.933333333333[/C][C]16.9488714203702[/C][C]54.4[/C][/ROW]
[ROW][C]8[/C][C]131.9[/C][C]10.8545759098096[/C][C]34.4[/C][/ROW]
[ROW][C]9[/C][C]134.825[/C][C]17.6253497708685[/C][C]51.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117385&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117385&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
181.92511.475517417528534.7
278.87510.961430314765235.8
382.866666666666711.224189246552535
490.991666666666714.191768314018845.5
5100.01666666666711.932829682955541.6
6114.68333333333314.286410156211946.9
7130.93333333333316.948871420370254.4
8131.910.854575909809634.4
9134.82517.625349770868551.4






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5.67848003868314
beta0.072221138542017
S.D.0.032733597143029
T-STAT2.20633064635236
p-value0.0631382643159193

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.67848003868314 \tabularnewline
beta & 0.072221138542017 \tabularnewline
S.D. & 0.032733597143029 \tabularnewline
T-STAT & 2.20633064635236 \tabularnewline
p-value & 0.0631382643159193 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117385&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.67848003868314[/C][/ROW]
[ROW][C]beta[/C][C]0.072221138542017[/C][/ROW]
[ROW][C]S.D.[/C][C]0.032733597143029[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.20633064635236[/C][/ROW]
[ROW][C]p-value[/C][C]0.0631382643159193[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117385&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117385&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)
alpha5.67848003868314
beta0.072221138542017
S.D.0.032733597143029
T-STAT2.20633064635236
p-value0.0631382643159193






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.0880469331828262
beta0.535499791154738
S.D.0.252239970049362
T-STAT2.12297754019691
p-value0.0714068459005144
Lambda0.464500208845262

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.0880469331828262 \tabularnewline
beta & 0.535499791154738 \tabularnewline
S.D. & 0.252239970049362 \tabularnewline
T-STAT & 2.12297754019691 \tabularnewline
p-value & 0.0714068459005144 \tabularnewline
Lambda & 0.464500208845262 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117385&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0880469331828262[/C][/ROW]
[ROW][C]beta[/C][C]0.535499791154738[/C][/ROW]
[ROW][C]S.D.[/C][C]0.252239970049362[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.12297754019691[/C][/ROW]
[ROW][C]p-value[/C][C]0.0714068459005144[/C][/ROW]
[ROW][C]Lambda[/C][C]0.464500208845262[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117385&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117385&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)
alpha0.0880469331828262
beta0.535499791154738
S.D.0.252239970049362
T-STAT2.12297754019691
p-value0.0714068459005144
Lambda0.464500208845262


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')