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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, 04 Dec 2009 08:30:47 -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/04/t12599406921fi8w8ahsy2wgbf.htm/, Retrieved Sun, 28 Apr 2024 10:44:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63765, Retrieved Sun, 28 Apr 2024 10:44:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-04 15:30:47] [c88a5f1b97e332c6387d668c465455af] [Current]
-    D        [Standard Deviation-Mean Plot] [] [2009-12-16 17:00:01] [73863f7f907331e734eff34b7de6fc83]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1258
1199
1158
1427
934
709
1186
986
1033
1257
1105
1179
1092
1092
1087
2028
2039
2010
754
760
715
855
971
815
915
843
761
1858
2968
4061
3661
3269
2857
2568
2274
1987
683
381
71
1772
3485
5181
4479
3782
3067
2489
1903
1330
736
483
242
1334
2423
3523
2986
2462
1908
1575
1237
904

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=63765&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=63765&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63765&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
11119.25185.090702580703718
21184.83333333333524.5234778233281324
32335.166666666671104.102418942713300
42385.251646.719445387765110
51651.083333333331028.182992055173281

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1119.25 & 185.090702580703 & 718 \tabularnewline
2 & 1184.83333333333 & 524.523477823328 & 1324 \tabularnewline
3 & 2335.16666666667 & 1104.10241894271 & 3300 \tabularnewline
4 & 2385.25 & 1646.71944538776 & 5110 \tabularnewline
5 & 1651.08333333333 & 1028.18299205517 & 3281 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63765&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]1119.25[/C][C]185.090702580703[/C][C]718[/C][/ROW]
[ROW][C]2[/C][C]1184.83333333333[/C][C]524.523477823328[/C][C]1324[/C][/ROW]
[ROW][C]3[/C][C]2335.16666666667[/C][C]1104.10241894271[/C][C]3300[/C][/ROW]
[ROW][C]4[/C][C]2385.25[/C][C]1646.71944538776[/C][C]5110[/C][/ROW]
[ROW][C]5[/C][C]1651.08333333333[/C][C]1028.18299205517[/C][C]3281[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63765&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63765&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
11119.25185.090702580703718
21184.83333333333524.5234778233281324
32335.166666666671104.102418942713300
42385.251646.719445387765110
51651.083333333331028.182992055173281






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-568.82735500227
beta0.845217610166581
S.D.0.221281609219612
T-STAT3.81964688862933
p-value0.0315808641456481

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -568.82735500227 \tabularnewline
beta & 0.845217610166581 \tabularnewline
S.D. & 0.221281609219612 \tabularnewline
T-STAT & 3.81964688862933 \tabularnewline
p-value & 0.0315808641456481 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63765&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-568.82735500227[/C][/ROW]
[ROW][C]beta[/C][C]0.845217610166581[/C][/ROW]
[ROW][C]S.D.[/C][C]0.221281609219612[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.81964688862933[/C][/ROW]
[ROW][C]p-value[/C][C]0.0315808641456481[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63765&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63765&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-568.82735500227
beta0.845217610166581
S.D.0.221281609219612
T-STAT3.81964688862933
p-value0.0315808641456481






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.99778245791846
beta2.10101046026998
S.D.0.651442711219229
T-STAT3.22516535082227
p-value0.0483935158411516
Lambda-1.10101046026998

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.99778245791846 \tabularnewline
beta & 2.10101046026998 \tabularnewline
S.D. & 0.651442711219229 \tabularnewline
T-STAT & 3.22516535082227 \tabularnewline
p-value & 0.0483935158411516 \tabularnewline
Lambda & -1.10101046026998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63765&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.99778245791846[/C][/ROW]
[ROW][C]beta[/C][C]2.10101046026998[/C][/ROW]
[ROW][C]S.D.[/C][C]0.651442711219229[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.22516535082227[/C][/ROW]
[ROW][C]p-value[/C][C]0.0483935158411516[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.10101046026998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63765&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63765&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-8.99778245791846
beta2.10101046026998
S.D.0.651442711219229
T-STAT3.22516535082227
p-value0.0483935158411516
Lambda-1.10101046026998


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')