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Description of Statistical Computation

Author's title

JUISTE REEKS Standard deviation mean plot - Nieuwe geregistreerde domeinnam...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 02 Jun 2009 08:32:16 -0600
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/Jun/02/t12439531739w55b4499uvn4m1.htm/, Retrieved Fri, 10 May 2024 12:42:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41239, Retrieved Fri, 10 May 2024 12:42:29 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193

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] [JUISTE REEKS Stan...] [2009-06-02 14:32:16] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8166
7102
6047
5854
5764
5209
5616
5597
6251
7024
7237
9230
9016
8201
7630
7107
6820
6082
6019
6576
8086
8323
7842
9077
10737
10176
10416
9807
9565
10439
9115
9535
10790
11340
11196
12132
12013
12692
13330
11926
11356
11221
9999
11772
12543
14176
2924
2322
15557
13381
13145
12448
12178
11836
9815
12382
12662
12767
13136
13533
17808
15892
16830
14444
15550
15092
16364
14314
15874
17846
18504
15130
19845
18137
18898
19573
17368
18938
16713
16379
19139
21461
19796
16668

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=41239&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=41239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41239&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
16591.416666666671198.411407453704021
27564.916666666671046.870440740863058
310437.3333333333866.8784473178713017
410522.83333333333840.1467735523111854
512736.66666666671321.323464171325742
616137.33333333331369.034253727344190
718576.251553.814024498195082

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6591.41666666667 & 1198.41140745370 & 4021 \tabularnewline
2 & 7564.91666666667 & 1046.87044074086 & 3058 \tabularnewline
3 & 10437.3333333333 & 866.878447317871 & 3017 \tabularnewline
4 & 10522.8333333333 & 3840.14677355231 & 11854 \tabularnewline
5 & 12736.6666666667 & 1321.32346417132 & 5742 \tabularnewline
6 & 16137.3333333333 & 1369.03425372734 & 4190 \tabularnewline
7 & 18576.25 & 1553.81402449819 & 5082 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41239&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]6591.41666666667[/C][C]1198.41140745370[/C][C]4021[/C][/ROW]
[ROW][C]2[/C][C]7564.91666666667[/C][C]1046.87044074086[/C][C]3058[/C][/ROW]
[ROW][C]3[/C][C]10437.3333333333[/C][C]866.878447317871[/C][C]3017[/C][/ROW]
[ROW][C]4[/C][C]10522.8333333333[/C][C]3840.14677355231[/C][C]11854[/C][/ROW]
[ROW][C]5[/C][C]12736.6666666667[/C][C]1321.32346417132[/C][C]5742[/C][/ROW]
[ROW][C]6[/C][C]16137.3333333333[/C][C]1369.03425372734[/C][C]4190[/C][/ROW]
[ROW][C]7[/C][C]18576.25[/C][C]1553.81402449819[/C][C]5082[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41239&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
16591.416666666671198.411407453704021
27564.916666666671046.870440740863058
310437.3333333333866.8784473178713017
410522.83333333333840.1467735523111854
512736.66666666671321.323464171325742
616137.33333333331369.034253727344190
718576.251553.814024498195082






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1496.54418466011
beta0.00872832609786403
S.D.0.103777324975179
T-STAT0.0841062929686384
p-value0.93623556379261

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1496.54418466011 \tabularnewline
beta & 0.00872832609786403 \tabularnewline
S.D. & 0.103777324975179 \tabularnewline
T-STAT & 0.0841062929686384 \tabularnewline
p-value & 0.93623556379261 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41239&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1496.54418466011[/C][/ROW]
[ROW][C]beta[/C][C]0.00872832609786403[/C][/ROW]
[ROW][C]S.D.[/C][C]0.103777324975179[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0841062929686384[/C][/ROW]
[ROW][C]p-value[/C][C]0.93623556379261[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41239&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41239&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)
alpha1496.54418466011
beta0.00872832609786403
S.D.0.103777324975179
T-STAT0.0841062929686384
p-value0.93623556379261






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.00738725900849
beta0.241764760275401
S.D.0.557508202539303
T-STAT0.433652382465811
p-value0.682613211858156
Lambda0.7582352397246

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.00738725900849 \tabularnewline
beta & 0.241764760275401 \tabularnewline
S.D. & 0.557508202539303 \tabularnewline
T-STAT & 0.433652382465811 \tabularnewline
p-value & 0.682613211858156 \tabularnewline
Lambda & 0.7582352397246 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41239&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.00738725900849[/C][/ROW]
[ROW][C]beta[/C][C]0.241764760275401[/C][/ROW]
[ROW][C]S.D.[/C][C]0.557508202539303[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.433652382465811[/C][/ROW]
[ROW][C]p-value[/C][C]0.682613211858156[/C][/ROW]
[ROW][C]Lambda[/C][C]0.7582352397246[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41239&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41239&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)
alpha5.00738725900849
beta0.241764760275401
S.D.0.557508202539303
T-STAT0.433652382465811
p-value0.682613211858156
Lambda0.7582352397246


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')