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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 computationFri, 23 Nov 2007 08:57:52 -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/23/t1195832995h5ks3zina0jer3u.htm/, Retrieved Mon, 29 Apr 2024 06:58:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6209, Retrieved Mon, 29 Apr 2024 06:58:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105

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...] [2007-11-23 15:57:52] [bd02e85be52eb1cb060a2c60779eb820] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13
17
17
13
14
13
17
17
15
9
10
9
14
18
18
12
16
12
19
13
12
13
11
10
16
12
6
8
6
8
8
9
13
8
11
8
10
15
12
13
12
15
13
13
16
14
12
15
14
19
16
16
11
13
12
11
6
9
6
15
17
13
12
13
10
14
13
10
11
12
7
11

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6209&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6209&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6209&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
113.66666666666673.084663922561347
2143.015113445777647
39.416666666666672.9987371079213110
413.33333333333331.723280873710668
512.33333333333334.0075685971179713
611.91666666666672.466441431158129

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 13.6666666666667 & 3.08466392256134 & 7 \tabularnewline
2 & 14 & 3.01511344577764 & 7 \tabularnewline
3 & 9.41666666666667 & 2.99873710792131 & 10 \tabularnewline
4 & 13.3333333333333 & 1.72328087371066 & 8 \tabularnewline
5 & 12.3333333333333 & 4.00756859711797 & 13 \tabularnewline
6 & 11.9166666666667 & 2.46644143115812 & 9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6209&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]13.6666666666667[/C][C]3.08466392256134[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]14[/C][C]3.01511344577764[/C][C]7[/C][/ROW]
[ROW][C]3[/C][C]9.41666666666667[/C][C]2.99873710792131[/C][C]10[/C][/ROW]
[ROW][C]4[/C][C]13.3333333333333[/C][C]1.72328087371066[/C][C]8[/C][/ROW]
[ROW][C]5[/C][C]12.3333333333333[/C][C]4.00756859711797[/C][C]13[/C][/ROW]
[ROW][C]6[/C][C]11.9166666666667[/C][C]2.46644143115812[/C][C]9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6209&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6209&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
113.66666666666673.084663922561347
2143.015113445777647
39.416666666666672.9987371079213110
413.33333333333331.723280873710668
512.33333333333334.0075685971179713
611.91666666666672.466441431158129






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3.61583826519613
beta-0.0589181814231661
S.D.0.222541323499963
T-STAT-0.264751644757679
p-value0.80428348487331

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.61583826519613 \tabularnewline
beta & -0.0589181814231661 \tabularnewline
S.D. & 0.222541323499963 \tabularnewline
T-STAT & -0.264751644757679 \tabularnewline
p-value & 0.80428348487331 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6209&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.61583826519613[/C][/ROW]
[ROW][C]beta[/C][C]-0.0589181814231661[/C][/ROW]
[ROW][C]S.D.[/C][C]0.222541323499963[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.264751644757679[/C][/ROW]
[ROW][C]p-value[/C][C]0.80428348487331[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6209&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6209&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)
alpha3.61583826519613
beta-0.0589181814231661
S.D.0.222541323499963
T-STAT-0.264751644757679
p-value0.80428348487331






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.79654884776406
beta-0.306150284231321
S.D.0.955803257998098
T-STAT-0.320306801289362
p-value0.76477005181339
Lambda1.30615028423132

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.79654884776406 \tabularnewline
beta & -0.306150284231321 \tabularnewline
S.D. & 0.955803257998098 \tabularnewline
T-STAT & -0.320306801289362 \tabularnewline
p-value & 0.76477005181339 \tabularnewline
Lambda & 1.30615028423132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6209&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.79654884776406[/C][/ROW]
[ROW][C]beta[/C][C]-0.306150284231321[/C][/ROW]
[ROW][C]S.D.[/C][C]0.955803257998098[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.320306801289362[/C][/ROW]
[ROW][C]p-value[/C][C]0.76477005181339[/C][/ROW]
[ROW][C]Lambda[/C][C]1.30615028423132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6209&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6209&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)
alpha1.79654884776406
beta-0.306150284231321
S.D.0.955803257998098
T-STAT-0.320306801289362
p-value0.76477005181339
Lambda1.30615028423132


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')