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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Module--
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 29 Nov 2011 07:36:46 -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/Nov/29/t13225702186mkpkg1ot5qw504.htm/, Retrieved Tue, 16 Apr 2024 18:48:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148263, Retrieved Tue, 16 Apr 2024 18:48:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact98

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D        [Standard Deviation-Mean Plot] [SHWWS8.8methode SMP] [2009-11-27 16:49:46] [e0fc65a5811681d807296d590d5b45de]
-               [Standard Deviation-Mean Plot] [Workshop 8 SMP] [2010-11-29 18:17:02] [814f53995537cd15c528d8efbf1cf544]
- RM                [Standard Deviation-Mean Plot] [] [2011-11-29 12:36:46] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
58608
46865
51378
46235
47206
45382
41227
33795
31295
42625
33625
21538
56421
53152
53536
52408
41454
38271
35306
26414
31917
38030
27534
18387
50556
43901
48572
43899
37532
40357
35489
29027
34485
42598
30306
26451
47460
50104
61465
53726
39477
43895
31481
29896
33842
39120
33702
25094
51442
45594
52518
48564
41745
49585
32747
33379
35645
37034
35681
20972

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148263&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148263&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148263&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
141648.2510064.216061463437070
239402.512354.525608051538034
338597.757707.2625151393924105
440771.833333333310830.935205430936371
540408.83333333339487.2714233654231546

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 41648.25 & 10064.2160614634 & 37070 \tabularnewline
2 & 39402.5 & 12354.5256080515 & 38034 \tabularnewline
3 & 38597.75 & 7707.26251513939 & 24105 \tabularnewline
4 & 40771.8333333333 & 10830.9352054309 & 36371 \tabularnewline
5 & 40408.8333333333 & 9487.27142336542 & 31546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148263&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]41648.25[/C][C]10064.2160614634[/C][C]37070[/C][/ROW]
[ROW][C]2[/C][C]39402.5[/C][C]12354.5256080515[/C][C]38034[/C][/ROW]
[ROW][C]3[/C][C]38597.75[/C][C]7707.26251513939[/C][C]24105[/C][/ROW]
[ROW][C]4[/C][C]40771.8333333333[/C][C]10830.9352054309[/C][C]36371[/C][/ROW]
[ROW][C]5[/C][C]40408.8333333333[/C][C]9487.27142336542[/C][C]31546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148263&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148263&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
141648.2510064.216061463437070
239402.512354.525608051538034
338597.757707.2625151393924105
440771.833333333310830.935205430936371
540408.83333333339487.2714233654231546






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-6019.32933584843
beta0.401041635682198
S.D.0.797409371380172
T-STAT0.502930677862573
p-value0.649613957163855

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -6019.32933584843 \tabularnewline
beta & 0.401041635682198 \tabularnewline
S.D. & 0.797409371380172 \tabularnewline
T-STAT & 0.502930677862573 \tabularnewline
p-value & 0.649613957163855 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148263&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6019.32933584843[/C][/ROW]
[ROW][C]beta[/C][C]0.401041635682198[/C][/ROW]
[ROW][C]S.D.[/C][C]0.797409371380172[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.502930677862573[/C][/ROW]
[ROW][C]p-value[/C][C]0.649613957163855[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148263&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148263&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)
alpha-6019.32933584843
beta0.401041635682198
S.D.0.797409371380172
T-STAT0.502930677862573
p-value0.649613957163855






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-13.0846868787524
beta2.10293068135547
S.D.3.16578058349305
T-STAT0.664269246049627
p-value0.554012450878733
Lambda-1.10293068135547

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -13.0846868787524 \tabularnewline
beta & 2.10293068135547 \tabularnewline
S.D. & 3.16578058349305 \tabularnewline
T-STAT & 0.664269246049627 \tabularnewline
p-value & 0.554012450878733 \tabularnewline
Lambda & -1.10293068135547 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148263&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-13.0846868787524[/C][/ROW]
[ROW][C]beta[/C][C]2.10293068135547[/C][/ROW]
[ROW][C]S.D.[/C][C]3.16578058349305[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.664269246049627[/C][/ROW]
[ROW][C]p-value[/C][C]0.554012450878733[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.10293068135547[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148263&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148263&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)
alpha-13.0846868787524
beta2.10293068135547
S.D.3.16578058349305
T-STAT0.664269246049627
p-value0.554012450878733
Lambda-1.10293068135547


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 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')