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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 07:36:01 -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/t1259937509qewc6a0pnvrjgqk.htm/, Retrieved Sat, 27 Apr 2024 22:38:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63626, Retrieved Sat, 27 Apr 2024 22:38:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

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] [SHW WS9] [2009-12-03 15:08:44] [e477350c00858f5884f75ca2ff5ea637]
-    D        [Standard Deviation-Mean Plot] [Box-Jenkins ARIMA...] [2009-12-04 14:36:01] [244731fa3e7e6c85774b8c0902c58f85] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6,3
6,2
6,1
6,3
6,5
6,6
6,5
6,2
6,2
5,9
6,1
6,1
6,1
6,1
6,1
6,4
6,7
6,9
7
7
6,8
6,4
5,9
5,5
5,5
5,6
5,8
5,9
6,1
6,1
6
6
5,9
5,5
5,6
5,4
5,2
5,2
5,2
5,5
5,8
5,8
5,5
5,3
5,1
5,2
5,8
5,8
5,5
5
4,9
5,3
6,1
6,5
6,8
6,6
6,4
6,4

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=63626&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=63626&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63626&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
16.250.2022599587389730.700
26.408333333333330.4813963276162631.5
35.783333333333330.2516611478423580.700
45.450.2844452335847640.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6.25 & 0.202259958738973 & 0.700 \tabularnewline
2 & 6.40833333333333 & 0.481396327616263 & 1.5 \tabularnewline
3 & 5.78333333333333 & 0.251661147842358 & 0.700 \tabularnewline
4 & 5.45 & 0.284445233584764 & 0.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63626&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]6.25[/C][C]0.202259958738973[/C][C]0.700[/C][/ROW]
[ROW][C]2[/C][C]6.40833333333333[/C][C]0.481396327616263[/C][C]1.5[/C][/ROW]
[ROW][C]3[/C][C]5.78333333333333[/C][C]0.251661147842358[/C][C]0.700[/C][/ROW]
[ROW][C]4[/C][C]5.45[/C][C]0.284445233584764[/C][C]0.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63626&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63626&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
16.250.2022599587389730.700
26.408333333333330.4813963276162631.5
35.783333333333330.2516611478423580.700
45.450.2844452335847640.7






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.412943772626897
beta0.120189930587650
S.D.0.178335780331297
T-STAT0.67395297995933
p-value0.569796929754387

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.412943772626897 \tabularnewline
beta & 0.120189930587650 \tabularnewline
S.D. & 0.178335780331297 \tabularnewline
T-STAT & 0.67395297995933 \tabularnewline
p-value & 0.569796929754387 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63626&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.412943772626897[/C][/ROW]
[ROW][C]beta[/C][C]0.120189930587650[/C][/ROW]
[ROW][C]S.D.[/C][C]0.178335780331297[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.67395297995933[/C][/ROW]
[ROW][C]p-value[/C][C]0.569796929754387[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63626&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63626&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-0.412943772626897
beta0.120189930587650
S.D.0.178335780331297
T-STAT0.67395297995933
p-value0.569796929754387






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.02796396640948
beta1.56085317616531
S.D.3.34289517262309
T-STAT0.466916578464093
p-value0.68648564009783
Lambda-0.560853176165308

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.02796396640948 \tabularnewline
beta & 1.56085317616531 \tabularnewline
S.D. & 3.34289517262309 \tabularnewline
T-STAT & 0.466916578464093 \tabularnewline
p-value & 0.68648564009783 \tabularnewline
Lambda & -0.560853176165308 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63626&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.02796396640948[/C][/ROW]
[ROW][C]beta[/C][C]1.56085317616531[/C][/ROW]
[ROW][C]S.D.[/C][C]3.34289517262309[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.466916578464093[/C][/ROW]
[ROW][C]p-value[/C][C]0.68648564009783[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.560853176165308[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63626&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63626&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-4.02796396640948
beta1.56085317616531
S.D.3.34289517262309
T-STAT0.466916578464093
p-value0.68648564009783
Lambda-0.560853176165308


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')