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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 computationMon, 28 Apr 2014 17:08:04 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Apr/28/t1398719312otmb5zhqlqqr738.htm/, Retrieved Fri, 17 May 2024 02:01:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234728, Retrieved Fri, 17 May 2024 02:01:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56

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] [] [2014-04-28 21:08:04] [a051cf513b3103c0fd2487dcb9eab576] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1516
1289
1428
1335
1402
1475
1582
1317
1450
1497
1556
981
1807
1573
1756
1708
1737
1679
1872
1598
1747
1882
1369
865
1432
1172
1268
1120
1235
1272
1360
1069
1434
1552
1584
1070
1676
1690
1643
1446
1566
1352
1805
1613
1824
1866
1774
1505
1972
1856
2037
1888
2167
2191
2036
2103
2131
2039
1983
1629
2032
2216
2141
2073
2145
2429
2157
1994
2116
2287
2162
1699

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234728&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234728&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234728&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'Gwilym Jenkins' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11402.33333333333161.855341324133601
21632.75279.6790774506321017
31297.33333333333176.875062908223515
41646.66666666667159.086787825407514
52002.66666666667156.156875279219562
62120.91666666667175.77385178034730

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1402.33333333333 & 161.855341324133 & 601 \tabularnewline
2 & 1632.75 & 279.679077450632 & 1017 \tabularnewline
3 & 1297.33333333333 & 176.875062908223 & 515 \tabularnewline
4 & 1646.66666666667 & 159.086787825407 & 514 \tabularnewline
5 & 2002.66666666667 & 156.156875279219 & 562 \tabularnewline
6 & 2120.91666666667 & 175.77385178034 & 730 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234728&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]1402.33333333333[/C][C]161.855341324133[/C][C]601[/C][/ROW]
[ROW][C]2[/C][C]1632.75[/C][C]279.679077450632[/C][C]1017[/C][/ROW]
[ROW][C]3[/C][C]1297.33333333333[/C][C]176.875062908223[/C][C]515[/C][/ROW]
[ROW][C]4[/C][C]1646.66666666667[/C][C]159.086787825407[/C][C]514[/C][/ROW]
[ROW][C]5[/C][C]2002.66666666667[/C][C]156.156875279219[/C][C]562[/C][/ROW]
[ROW][C]6[/C][C]2120.91666666667[/C][C]175.77385178034[/C][C]730[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234728&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234728&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
11402.33333333333161.855341324133601
21632.75279.6790774506321017
31297.33333333333176.875062908223515
41646.66666666667159.086787825407514
52002.66666666667156.156875279219562
62120.91666666667175.77385178034730






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha208.773288725211
beta-0.0141757360218404
S.D.0.0725133256997237
T-STAT-0.195491461535524
p-value0.854537167902013

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 208.773288725211 \tabularnewline
beta & -0.0141757360218404 \tabularnewline
S.D. & 0.0725133256997237 \tabularnewline
T-STAT & -0.195491461535524 \tabularnewline
p-value & 0.854537167902013 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234728&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]208.773288725211[/C][/ROW]
[ROW][C]beta[/C][C]-0.0141757360218404[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0725133256997237[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.195491461535524[/C][/ROW]
[ROW][C]p-value[/C][C]0.854537167902013[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234728&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234728&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)
alpha208.773288725211
beta-0.0141757360218404
S.D.0.0725133256997237
T-STAT-0.195491461535524
p-value0.854537167902013






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.85995956425223
beta-0.0893531822328101
S.D.0.570040459212611
T-STAT-0.156748842628175
p-value0.883036285654754
Lambda1.08935318223281

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.85995956425223 \tabularnewline
beta & -0.0893531822328101 \tabularnewline
S.D. & 0.570040459212611 \tabularnewline
T-STAT & -0.156748842628175 \tabularnewline
p-value & 0.883036285654754 \tabularnewline
Lambda & 1.08935318223281 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234728&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.85995956425223[/C][/ROW]
[ROW][C]beta[/C][C]-0.0893531822328101[/C][/ROW]
[ROW][C]S.D.[/C][C]0.570040459212611[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156748842628175[/C][/ROW]
[ROW][C]p-value[/C][C]0.883036285654754[/C][/ROW]
[ROW][C]Lambda[/C][C]1.08935318223281[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234728&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234728&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)
alpha5.85995956425223
beta-0.0893531822328101
S.D.0.570040459212611
T-STAT-0.156748842628175
p-value0.883036285654754
Lambda1.08935318223281


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')