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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 14 Dec 2010 11:05:16 +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/14/t12923246051e858u1uu7kj7z7.htm/, Retrieved Thu, 02 May 2024 17:59:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109405, Retrieved Thu, 02 May 2024 17:59:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

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] [Faillissementen B...] [2010-12-14 11:05:16] [dcc54e7e6e8c80b7c45e040080afe6ab] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
89
97
154
81
110
116
73
73
174
103
130
91
136
106
136
122
131
135
75
68
143
115
93
128
152
125
107
116
220
137
34
51
153
145
116
145
98
118
139
140
113
149
79
47
166
180
122
134
114
125
181
142
143
187
137
62
239
157
139
187
99
146
175
148
130
183
115
80
223
131
201
157

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109405&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]5 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=109405&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109405&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 time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1107.58333333333331.6183443110119101
2115.66666666666725.061137365662575
3125.08333333333348.3593712518969186
4123.7536.7995182774795133
5151.08333333333344.4388411871935177
614941.7655795645605143

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 107.583333333333 & 31.6183443110119 & 101 \tabularnewline
2 & 115.666666666667 & 25.0611373656625 & 75 \tabularnewline
3 & 125.083333333333 & 48.3593712518969 & 186 \tabularnewline
4 & 123.75 & 36.7995182774795 & 133 \tabularnewline
5 & 151.083333333333 & 44.4388411871935 & 177 \tabularnewline
6 & 149 & 41.7655795645605 & 143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109405&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]107.583333333333[/C][C]31.6183443110119[/C][C]101[/C][/ROW]
[ROW][C]2[/C][C]115.666666666667[/C][C]25.0611373656625[/C][C]75[/C][/ROW]
[ROW][C]3[/C][C]125.083333333333[/C][C]48.3593712518969[/C][C]186[/C][/ROW]
[ROW][C]4[/C][C]123.75[/C][C]36.7995182774795[/C][C]133[/C][/ROW]
[ROW][C]5[/C][C]151.083333333333[/C][C]44.4388411871935[/C][C]177[/C][/ROW]
[ROW][C]6[/C][C]149[/C][C]41.7655795645605[/C][C]143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109405&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109405&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
1107.58333333333331.6183443110119101
2115.66666666666725.061137365662575
3125.08333333333348.3593712518969186
4123.7536.7995182774795133
5151.08333333333344.4388411871935177
614941.7655795645605143






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2.44935843656368
beta0.314360814906782
S.D.0.186410863973582
T-STAT1.68638677063013
p-value0.166999021831247

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2.44935843656368 \tabularnewline
beta & 0.314360814906782 \tabularnewline
S.D. & 0.186410863973582 \tabularnewline
T-STAT & 1.68638677063013 \tabularnewline
p-value & 0.166999021831247 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109405&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.44935843656368[/C][/ROW]
[ROW][C]beta[/C][C]0.314360814906782[/C][/ROW]
[ROW][C]S.D.[/C][C]0.186410863973582[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.68638677063013[/C][/ROW]
[ROW][C]p-value[/C][C]0.166999021831247[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109405&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109405&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-2.44935843656368
beta0.314360814906782
S.D.0.186410863973582
T-STAT1.68638677063013
p-value0.166999021831247






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.12294393599732
beta1.18300402111860
S.D.0.670614622454387
T-STAT1.76405938896607
p-value0.152492711285261
Lambda-0.183004021118597

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.12294393599732 \tabularnewline
beta & 1.18300402111860 \tabularnewline
S.D. & 0.670614622454387 \tabularnewline
T-STAT & 1.76405938896607 \tabularnewline
p-value & 0.152492711285261 \tabularnewline
Lambda & -0.183004021118597 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109405&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.12294393599732[/C][/ROW]
[ROW][C]beta[/C][C]1.18300402111860[/C][/ROW]
[ROW][C]S.D.[/C][C]0.670614622454387[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.76405938896607[/C][/ROW]
[ROW][C]p-value[/C][C]0.152492711285261[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.183004021118597[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109405&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109405&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-2.12294393599732
beta1.18300402111860
S.D.0.670614622454387
T-STAT1.76405938896607
p-value0.152492711285261
Lambda-0.183004021118597


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')