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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 computationWed, 23 Dec 2009 07:06:29 -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/23/t12615772834ju34t8gqpo2lw4.htm/, Retrieved Mon, 29 Apr 2024 09:35:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70534, Retrieved Mon, 29 Apr 2024 09:35:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact129

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] [] [2009-12-23 14:06:29] [461523bf9c5715e033e9a40193969321] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.62
0.62
0.62
0.63
0.62
0.63
0.63
0.62
0.63
0.63
0.63
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.63
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.65
0.65
0.65
0.65
0.65
0.65
0.66
0.66
0.66
0.66
0.68
0.69
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.71
0.7
0.71
0.7
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.71
0.71
0.7
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.7
0.7
0.68
0.68
0.69
0.69
0.7
0.7
0.7
0.7
0.7
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.76
0.77
0.78
0.85
0.89
0.9
0.91
0.91
0.91
0.9
0.89
0.88
0.87
0.86
0.87
0.87
0.87
0.85

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' @ 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70534&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70534&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70534&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' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.6266666666666670.00651338947278930.02
20.6391666666666670.002886751345948130.01
30.6433333333333330.004923659639173310.01
40.6758333333333330.02108783937953270.0499999999999999
50.7041666666666670.005149286505444380.01
60.7083333333333330.003892494720807620.01
70.7033333333333330.004923659639173310.01
80.7083333333333330.003892494720807620.01
90.69750.01055289706022170.0299999999999999
100.76750.07350015460713490.19
110.88250.02094364733365140.06

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.626666666666667 & 0.0065133894727893 & 0.02 \tabularnewline
2 & 0.639166666666667 & 0.00288675134594813 & 0.01 \tabularnewline
3 & 0.643333333333333 & 0.00492365963917331 & 0.01 \tabularnewline
4 & 0.675833333333333 & 0.0210878393795327 & 0.0499999999999999 \tabularnewline
5 & 0.704166666666667 & 0.00514928650544438 & 0.01 \tabularnewline
6 & 0.708333333333333 & 0.00389249472080762 & 0.01 \tabularnewline
7 & 0.703333333333333 & 0.00492365963917331 & 0.01 \tabularnewline
8 & 0.708333333333333 & 0.00389249472080762 & 0.01 \tabularnewline
9 & 0.6975 & 0.0105528970602217 & 0.0299999999999999 \tabularnewline
10 & 0.7675 & 0.0735001546071349 & 0.19 \tabularnewline
11 & 0.8825 & 0.0209436473336514 & 0.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70534&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]0.626666666666667[/C][C]0.0065133894727893[/C][C]0.02[/C][/ROW]
[ROW][C]2[/C][C]0.639166666666667[/C][C]0.00288675134594813[/C][C]0.01[/C][/ROW]
[ROW][C]3[/C][C]0.643333333333333[/C][C]0.00492365963917331[/C][C]0.01[/C][/ROW]
[ROW][C]4[/C][C]0.675833333333333[/C][C]0.0210878393795327[/C][C]0.0499999999999999[/C][/ROW]
[ROW][C]5[/C][C]0.704166666666667[/C][C]0.00514928650544438[/C][C]0.01[/C][/ROW]
[ROW][C]6[/C][C]0.708333333333333[/C][C]0.00389249472080762[/C][C]0.01[/C][/ROW]
[ROW][C]7[/C][C]0.703333333333333[/C][C]0.00492365963917331[/C][C]0.01[/C][/ROW]
[ROW][C]8[/C][C]0.708333333333333[/C][C]0.00389249472080762[/C][C]0.01[/C][/ROW]
[ROW][C]9[/C][C]0.6975[/C][C]0.0105528970602217[/C][C]0.0299999999999999[/C][/ROW]
[ROW][C]10[/C][C]0.7675[/C][C]0.0735001546071349[/C][C]0.19[/C][/ROW]
[ROW][C]11[/C][C]0.8825[/C][C]0.0209436473336514[/C][C]0.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70534&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70534&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
10.6266666666666670.00651338947278930.02
20.6391666666666670.002886751345948130.01
30.6433333333333330.004923659639173310.01
40.6758333333333330.02108783937953270.0499999999999999
50.7041666666666670.005149286505444380.01
60.7083333333333330.003892494720807620.01
70.7033333333333330.004923659639173310.01
80.7083333333333330.003892494720807620.01
90.69750.01055289706022170.0299999999999999
100.76750.07350015460713490.19
110.88250.02094364733365140.06






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.0775928105356632
beta0.130440978553972
S.D.0.0865767334636463
T-STAT1.50665165264920
p-value0.166166609236046

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0775928105356632 \tabularnewline
beta & 0.130440978553972 \tabularnewline
S.D. & 0.0865767334636463 \tabularnewline
T-STAT & 1.50665165264920 \tabularnewline
p-value & 0.166166609236046 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70534&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0775928105356632[/C][/ROW]
[ROW][C]beta[/C][C]0.130440978553972[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0865767334636463[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.50665165264920[/C][/ROW]
[ROW][C]p-value[/C][C]0.166166609236046[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70534&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70534&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-0.0775928105356632
beta0.130440978553972
S.D.0.0865767334636463
T-STAT1.50665165264920
p-value0.166166609236046






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.76062780555265
beta5.75703832876281
S.D.2.83658017091461
T-STAT2.02957010973765
p-value0.0729851093846492
Lambda-4.75703832876281

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.76062780555265 \tabularnewline
beta & 5.75703832876281 \tabularnewline
S.D. & 2.83658017091461 \tabularnewline
T-STAT & 2.02957010973765 \tabularnewline
p-value & 0.0729851093846492 \tabularnewline
Lambda & -4.75703832876281 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70534&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.76062780555265[/C][/ROW]
[ROW][C]beta[/C][C]5.75703832876281[/C][/ROW]
[ROW][C]S.D.[/C][C]2.83658017091461[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.02957010973765[/C][/ROW]
[ROW][C]p-value[/C][C]0.0729851093846492[/C][/ROW]
[ROW][C]Lambda[/C][C]-4.75703832876281[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70534&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70534&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-2.76062780555265
beta5.75703832876281
S.D.2.83658017091461
T-STAT2.02957010973765
p-value0.0729851093846492
Lambda-4.75703832876281


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')