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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 computationThu, 22 Nov 2007 06:04:40 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/22/t1195736198wdwradwrn9adl8j.htm/, Retrieved Wed, 22 May 2024 00:35:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5965, Retrieved Wed, 22 May 2024 00:35:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsW10Q1G7
Estimated Impact189

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] [Standard deviatio...] [2007-11-22 13:04:40] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
96
86
82
92
99
101
102
100
101
100
99
97
97
97
96
92
91
87
82
89
91
90
87
89
95
85
94
94
97
99
97
96
94
100
96
98
98
94
93
94
94
97
98
95
89
89
89
90
86
92
91
95
99
98
95
96
94
98
98
98
98
102
101
92
99
101
99
102
102
101
99
98
98

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5965&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5965&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5965&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
196.256.3835726674018516
290.66666666666674.458563432181712
395.41666666666673.8247598458972418
493.33333333333333.420083288016496
5953.813850356982378
699.52.8123105996832815

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 96.25 & 6.38357266740185 & 16 \tabularnewline
2 & 90.6666666666667 & 4.4585634321817 & 12 \tabularnewline
3 & 95.4166666666667 & 3.82475984589724 & 18 \tabularnewline
4 & 93.3333333333333 & 3.42008328801649 & 6 \tabularnewline
5 & 95 & 3.81385035698237 & 8 \tabularnewline
6 & 99.5 & 2.81231059968328 & 15 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5965&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]96.25[/C][C]6.38357266740185[/C][C]16[/C][/ROW]
[ROW][C]2[/C][C]90.6666666666667[/C][C]4.4585634321817[/C][C]12[/C][/ROW]
[ROW][C]3[/C][C]95.4166666666667[/C][C]3.82475984589724[/C][C]18[/C][/ROW]
[ROW][C]4[/C][C]93.3333333333333[/C][C]3.42008328801649[/C][C]6[/C][/ROW]
[ROW][C]5[/C][C]95[/C][C]3.81385035698237[/C][C]8[/C][/ROW]
[ROW][C]6[/C][C]99.5[/C][C]2.81231059968328[/C][C]15[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5965&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5965&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
196.256.3835726674018516
290.66666666666674.458563432181712
395.41666666666673.8247598458972418
493.33333333333333.420083288016496
5953.813850356982378
699.52.8123105996832815






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha11.7114315207894
beta-0.079898478107992
S.D.0.205317701243596
T-STAT-0.389145590584991
p-value0.71699686227131

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 11.7114315207894 \tabularnewline
beta & -0.079898478107992 \tabularnewline
S.D. & 0.205317701243596 \tabularnewline
T-STAT & -0.389145590584991 \tabularnewline
p-value & 0.71699686227131 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5965&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.7114315207894[/C][/ROW]
[ROW][C]beta[/C][C]-0.079898478107992[/C][/ROW]
[ROW][C]S.D.[/C][C]0.205317701243596[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.389145590584991[/C][/ROW]
[ROW][C]p-value[/C][C]0.71699686227131[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5965&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5965&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)
alpha11.7114315207894
beta-0.079898478107992
S.D.0.205317701243596
T-STAT-0.389145590584991
p-value0.71699686227131






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha13.3567141882232
beta-2.62961482978489
S.D.4.25686021898885
T-STAT-0.617735771086585
p-value0.570183146305516
Lambda3.62961482978489

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.3567141882232 \tabularnewline
beta & -2.62961482978489 \tabularnewline
S.D. & 4.25686021898885 \tabularnewline
T-STAT & -0.617735771086585 \tabularnewline
p-value & 0.570183146305516 \tabularnewline
Lambda & 3.62961482978489 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5965&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.3567141882232[/C][/ROW]
[ROW][C]beta[/C][C]-2.62961482978489[/C][/ROW]
[ROW][C]S.D.[/C][C]4.25686021898885[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.617735771086585[/C][/ROW]
[ROW][C]p-value[/C][C]0.570183146305516[/C][/ROW]
[ROW][C]Lambda[/C][C]3.62961482978489[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5965&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5965&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)
alpha13.3567141882232
beta-2.62961482978489
S.D.4.25686021898885
T-STAT-0.617735771086585
p-value0.570183146305516
Lambda3.62961482978489


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')