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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 computationWed, 29 Dec 2010 20:37:25 +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/29/t1293654986i1tqovnlfvbwxj8.htm/, Retrieved Fri, 03 May 2024 12:36:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117114, Retrieved Fri, 03 May 2024 12:36:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [Workshop 6] [2010-12-14 13:38:50] [52986265a8945c3b72cdef4e8a412754]
-    D  [Standard Deviation-Mean Plot] [standaarddeviatie...] [2010-12-27 17:47:46] [f1aa04283d83c25edc8ae3bb0d0fb93e]
-   P       [Standard Deviation-Mean Plot] [] [2010-12-29 20:37:25] [b90a48a1f8ff99465eedb4ebbc8930ab] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16
17
23
24
27
31
40
47
43
60
64
65
65
55
57
57
57
65
69
70
71
71
73
68
65
57
41
21
21
17
9
11
6
-2
0
5
3
7
4
8
9
14
12
12
7
15
14
19
39
12
11
17
16
25
24
28
25
31
24
24

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ www.wessa.org

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117114&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117114&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117114&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 time0 seconds
R Server'Gwilym Jenkins' @ www.wessa.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
138.083333333333317.875622472738649
264.83333333333336.589707309451818
320.916666666666722.039049366288467
410.33333333333334.7926711727070316
5238.0113555770430128

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 38.0833333333333 & 17.8756224727386 & 49 \tabularnewline
2 & 64.8333333333333 & 6.5897073094518 & 18 \tabularnewline
3 & 20.9166666666667 & 22.0390493662884 & 67 \tabularnewline
4 & 10.3333333333333 & 4.79267117270703 & 16 \tabularnewline
5 & 23 & 8.01135557704301 & 28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117114&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]38.0833333333333[/C][C]17.8756224727386[/C][C]49[/C][/ROW]
[ROW][C]2[/C][C]64.8333333333333[/C][C]6.5897073094518[/C][C]18[/C][/ROW]
[ROW][C]3[/C][C]20.9166666666667[/C][C]22.0390493662884[/C][C]67[/C][/ROW]
[ROW][C]4[/C][C]10.3333333333333[/C][C]4.79267117270703[/C][C]16[/C][/ROW]
[ROW][C]5[/C][C]23[/C][C]8.01135557704301[/C][C]28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117114&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117114&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
138.083333333333317.875622472738649
264.83333333333336.589707309451818
320.916666666666722.039049366288467
410.33333333333334.7926711727070316
5238.0113555770430128






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12.943569434204
beta-0.0344185022659045
S.D.0.207244378563767
T-STAT-0.166076891949637
p-value0.878658157058453

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12.943569434204 \tabularnewline
beta & -0.0344185022659045 \tabularnewline
S.D. & 0.207244378563767 \tabularnewline
T-STAT & -0.166076891949637 \tabularnewline
p-value & 0.878658157058453 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117114&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.943569434204[/C][/ROW]
[ROW][C]beta[/C][C]-0.0344185022659045[/C][/ROW]
[ROW][C]S.D.[/C][C]0.207244378563767[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.166076891949637[/C][/ROW]
[ROW][C]p-value[/C][C]0.878658157058453[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117114&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117114&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)
alpha12.943569434204
beta-0.0344185022659045
S.D.0.207244378563767
T-STAT-0.166076891949637
p-value0.878658157058453






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.65638050233634
beta0.197745861577297
S.D.0.539163191189463
T-STAT0.366764394915469
p-value0.738136985940747
Lambda0.802254138422703

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.65638050233634 \tabularnewline
beta & 0.197745861577297 \tabularnewline
S.D. & 0.539163191189463 \tabularnewline
T-STAT & 0.366764394915469 \tabularnewline
p-value & 0.738136985940747 \tabularnewline
Lambda & 0.802254138422703 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117114&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.65638050233634[/C][/ROW]
[ROW][C]beta[/C][C]0.197745861577297[/C][/ROW]
[ROW][C]S.D.[/C][C]0.539163191189463[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.366764394915469[/C][/ROW]
[ROW][C]p-value[/C][C]0.738136985940747[/C][/ROW]
[ROW][C]Lambda[/C][C]0.802254138422703[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117114&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117114&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)
alpha1.65638050233634
beta0.197745861577297
S.D.0.539163191189463
T-STAT0.366764394915469
p-value0.738136985940747
Lambda0.802254138422703


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')