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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 computationSat, 22 Nov 2014 11:59:42 +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/2014/Nov/22/t14166578515jesxtwh2ofyv67.htm/, Retrieved Sun, 19 May 2024 13:06:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257822, Retrieved Sun, 19 May 2024 13:06:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75

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] [] [2014-11-22 11:59:42] [2f27692a17e58baa8638275162e45e6c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137
135
124
118
121
121
118
113
107
100
102
130
136
133
120
112
109
110
106
102
98
92
92
120
127
124
114
108
106
111
110
104
100
96
98
122
134
133
125
118
116
118
116
111
108
102
102
129
136
137
126
119
117

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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257822&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257822&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257822&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1103.2511.670670308707436
2116.7512.842578330764438
3116.7511.794644393267536
4108.2511.505927326224735
5113.91666666666713.027651245320438
6118.41666666666711.812615239136535

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 103.25 & 11.6706703087074 & 36 \tabularnewline
2 & 116.75 & 12.8425783307644 & 38 \tabularnewline
3 & 116.75 & 11.7946443932675 & 36 \tabularnewline
4 & 108.25 & 11.5059273262247 & 35 \tabularnewline
5 & 113.916666666667 & 13.0276512453204 & 38 \tabularnewline
6 & 118.416666666667 & 11.8126152391365 & 35 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257822&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]103.25[/C][C]11.6706703087074[/C][C]36[/C][/ROW]
[ROW][C]2[/C][C]116.75[/C][C]12.8425783307644[/C][C]38[/C][/ROW]
[ROW][C]3[/C][C]116.75[/C][C]11.7946443932675[/C][C]36[/C][/ROW]
[ROW][C]4[/C][C]108.25[/C][C]11.5059273262247[/C][C]35[/C][/ROW]
[ROW][C]5[/C][C]113.916666666667[/C][C]13.0276512453204[/C][C]38[/C][/ROW]
[ROW][C]6[/C][C]118.416666666667[/C][C]11.8126152391365[/C][C]35[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257822&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257822&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
1103.2511.670670308707436
2116.7512.842578330764438
3116.7511.794644393267536
4108.2511.505927326224735
5113.91666666666713.027651245320438
6118.41666666666711.812615239136535






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha7.0074823404876
beta0.0451907374023058
S.D.0.0500972974539243
T-STAT0.902059386414385
p-value0.418032395886455

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7.0074823404876 \tabularnewline
beta & 0.0451907374023058 \tabularnewline
S.D. & 0.0500972974539243 \tabularnewline
T-STAT & 0.902059386414385 \tabularnewline
p-value & 0.418032395886455 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257822&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.0074823404876[/C][/ROW]
[ROW][C]beta[/C][C]0.0451907374023058[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0500972974539243[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.902059386414385[/C][/ROW]
[ROW][C]p-value[/C][C]0.418032395886455[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257822&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257822&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)
alpha7.0074823404876
beta0.0451907374023058
S.D.0.0500972974539243
T-STAT0.902059386414385
p-value0.418032395886455






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.517563615426358
beta0.418012413068333
S.D.0.448933155911388
T-STAT0.931123949220721
p-value0.404498165718384
Lambda0.581987586931667

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.517563615426358 \tabularnewline
beta & 0.418012413068333 \tabularnewline
S.D. & 0.448933155911388 \tabularnewline
T-STAT & 0.931123949220721 \tabularnewline
p-value & 0.404498165718384 \tabularnewline
Lambda & 0.581987586931667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257822&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.517563615426358[/C][/ROW]
[ROW][C]beta[/C][C]0.418012413068333[/C][/ROW]
[ROW][C]S.D.[/C][C]0.448933155911388[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.931123949220721[/C][/ROW]
[ROW][C]p-value[/C][C]0.404498165718384[/C][/ROW]
[ROW][C]Lambda[/C][C]0.581987586931667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257822&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257822&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)
alpha0.517563615426358
beta0.418012413068333
S.D.0.448933155911388
T-STAT0.931123949220721
p-value0.404498165718384
Lambda0.581987586931667


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')