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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 computationWed, 14 Dec 2011 17:34:12 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/14/t1323902081st17rcumhed0waa.htm/, Retrieved Wed, 01 May 2024 23:03:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155271, Retrieved Wed, 01 May 2024 23:03:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact115

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] [opgave 8 oefening...] [2011-12-14 22:34:12] [2a4af61e9205cb322e653ff199304e24] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
36.68
36.77
36.78
36.78
37
37.12
37.3
37.34
37.4
37.4
37.34
37.29
37.39
37.42
37.42
43.49
44.3
44.36
44.52
44.66
44.77
44.77
44.82
44.97
45.28
45.5
45.52
45.52
45.17
45.25
45.32
45.41
45.44
45.44
45.46
45.53
45.61
45.8
45.83
45.83
45.96
46.01
46.18
46.32
46.51
46.51
46.56
46.54
46.62
46.76
46.82
46.82
46.7
46.72
46.47
46.74
46.89
46.89
46.96
47.6
47.67
47.58
47.58
47.58
47.57
47.53
47.68
47.56
47.81
47.81
47.81
47.81
48.12
48.13
48.01

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155271&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155271&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155271&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
137.10.2815218383261680.719999999999999
242.74083333333333.236772967389637.58
345.40333333333330.1201009676240890.359999999999999
446.13833333333330.3414097334005090.950000000000003
546.83250.275156979988451.13
647.66583333333330.1145313242847760.280000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 37.1 & 0.281521838326168 & 0.719999999999999 \tabularnewline
2 & 42.7408333333333 & 3.23677296738963 & 7.58 \tabularnewline
3 & 45.4033333333333 & 0.120100967624089 & 0.359999999999999 \tabularnewline
4 & 46.1383333333333 & 0.341409733400509 & 0.950000000000003 \tabularnewline
5 & 46.8325 & 0.27515697998845 & 1.13 \tabularnewline
6 & 47.6658333333333 & 0.114531324284776 & 0.280000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155271&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]37.1[/C][C]0.281521838326168[/C][C]0.719999999999999[/C][/ROW]
[ROW][C]2[/C][C]42.7408333333333[/C][C]3.23677296738963[/C][C]7.58[/C][/ROW]
[ROW][C]3[/C][C]45.4033333333333[/C][C]0.120100967624089[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]4[/C][C]46.1383333333333[/C][C]0.341409733400509[/C][C]0.950000000000003[/C][/ROW]
[ROW][C]5[/C][C]46.8325[/C][C]0.27515697998845[/C][C]1.13[/C][/ROW]
[ROW][C]6[/C][C]47.6658333333333[/C][C]0.114531324284776[/C][C]0.280000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155271&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155271&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
137.10.2815218383261680.719999999999999
242.74083333333333.236772967389637.58
345.40333333333330.1201009676240890.359999999999999
446.13833333333330.3414097334005090.950000000000003
546.83250.275156979988451.13
647.66583333333330.1145313242847760.280000000000001






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3.78819163465791
beta-0.0690521981850284
S.D.0.153585730684043
T-STAT-0.449600349443157
p-value0.676285324130788

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.78819163465791 \tabularnewline
beta & -0.0690521981850284 \tabularnewline
S.D. & 0.153585730684043 \tabularnewline
T-STAT & -0.449600349443157 \tabularnewline
p-value & 0.676285324130788 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155271&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.78819163465791[/C][/ROW]
[ROW][C]beta[/C][C]-0.0690521981850284[/C][/ROW]
[ROW][C]S.D.[/C][C]0.153585730684043[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.449600349443157[/C][/ROW]
[ROW][C]p-value[/C][C]0.676285324130788[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155271&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155271&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)
alpha3.78819163465791
beta-0.0690521981850284
S.D.0.153585730684043
T-STAT-0.449600349443157
p-value0.676285324130788






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha13.279049228428
beta-3.80250201821338
S.D.6.25230193654142
T-STAT-0.608176325584943
p-value0.575911378201547
Lambda4.80250201821338

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 13.279049228428 \tabularnewline
beta & -3.80250201821338 \tabularnewline
S.D. & 6.25230193654142 \tabularnewline
T-STAT & -0.608176325584943 \tabularnewline
p-value & 0.575911378201547 \tabularnewline
Lambda & 4.80250201821338 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155271&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.279049228428[/C][/ROW]
[ROW][C]beta[/C][C]-3.80250201821338[/C][/ROW]
[ROW][C]S.D.[/C][C]6.25230193654142[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.608176325584943[/C][/ROW]
[ROW][C]p-value[/C][C]0.575911378201547[/C][/ROW]
[ROW][C]Lambda[/C][C]4.80250201821338[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155271&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155271&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)
alpha13.279049228428
beta-3.80250201821338
S.D.6.25230193654142
T-STAT-0.608176325584943
p-value0.575911378201547
Lambda4.80250201821338


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')