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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 computationFri, 11 Dec 2009 05:14:13 -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/2009/Dec/11/t1260533800qgi4wmr4hl5r76o.htm/, Retrieved Sun, 28 Apr 2024 23:01:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66065, Retrieved Sun, 28 Apr 2024 23:01:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
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] [] [2009-12-11 12:14:13] [51118f1042b56b16d340924f16263174] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12610
10862
52929
56902
81776
87876
82103
72846
60632
33521
15342
7758
8668
13082
38157
58263
81153
88476
72329
75845
61108
37665
12755
2793
12935
19533
33404
52074
70735
69702
61656
82993
53990
32283
15686
2713
12842
19244
48488
54464
84192
84458
85793
75163
68212
49233
24302
5402
15058
33559
70358
85934
94452
129305
113882
107256
94274
57842
26611
14521

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66065&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66065&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66065&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
147929.7530602.419450176680118
245857.833333333331017.014749483885683
342308.666666666726384.799812610280280
450982.7529526.056991702680391
570254.333333333340142.9329574241114784

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 47929.75 & 30602.4194501766 & 80118 \tabularnewline
2 & 45857.8333333333 & 31017.0147494838 & 85683 \tabularnewline
3 & 42308.6666666667 & 26384.7998126102 & 80280 \tabularnewline
4 & 50982.75 & 29526.0569917026 & 80391 \tabularnewline
5 & 70254.3333333333 & 40142.9329574241 & 114784 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66065&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]47929.75[/C][C]30602.4194501766[/C][C]80118[/C][/ROW]
[ROW][C]2[/C][C]45857.8333333333[/C][C]31017.0147494838[/C][C]85683[/C][/ROW]
[ROW][C]3[/C][C]42308.6666666667[/C][C]26384.7998126102[/C][C]80280[/C][/ROW]
[ROW][C]4[/C][C]50982.75[/C][C]29526.0569917026[/C][C]80391[/C][/ROW]
[ROW][C]5[/C][C]70254.3333333333[/C][C]40142.9329574241[/C][C]114784[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66065&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66065&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
147929.7530602.419450176680118
245857.833333333331017.014749483885683
342308.666666666726384.799812610280280
450982.7529526.056991702680391
570254.333333333340142.9329574241114784






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha8418.22497457812
beta0.449153234799897
S.D.0.0778613340637984
T-STAT5.76863009349245
p-value0.0103551647100525

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 8418.22497457812 \tabularnewline
beta & 0.449153234799897 \tabularnewline
S.D. & 0.0778613340637984 \tabularnewline
T-STAT & 5.76863009349245 \tabularnewline
p-value & 0.0103551647100525 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66065&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8418.22497457812[/C][/ROW]
[ROW][C]beta[/C][C]0.449153234799897[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0778613340637984[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.76863009349245[/C][/ROW]
[ROW][C]p-value[/C][C]0.0103551647100525[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66065&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66065&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)
alpha8418.22497457812
beta0.449153234799897
S.D.0.0778613340637984
T-STAT5.76863009349245
p-value0.0103551647100525






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.25182970829853
beta0.747484529276433
S.D.0.147257616532015
T-STAT5.07603305608252
p-value0.0147678628629575
Lambda0.252515470723567

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.25182970829853 \tabularnewline
beta & 0.747484529276433 \tabularnewline
S.D. & 0.147257616532015 \tabularnewline
T-STAT & 5.07603305608252 \tabularnewline
p-value & 0.0147678628629575 \tabularnewline
Lambda & 0.252515470723567 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66065&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.25182970829853[/C][/ROW]
[ROW][C]beta[/C][C]0.747484529276433[/C][/ROW]
[ROW][C]S.D.[/C][C]0.147257616532015[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.07603305608252[/C][/ROW]
[ROW][C]p-value[/C][C]0.0147678628629575[/C][/ROW]
[ROW][C]Lambda[/C][C]0.252515470723567[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66065&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66065&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)
alpha2.25182970829853
beta0.747484529276433
S.D.0.147257616532015
T-STAT5.07603305608252
p-value0.0147678628629575
Lambda0.252515470723567


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')