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Description of Statistical Computation

Author's title

Standard Deviation - Mean Plots Gemiddelde prijzen kinderbottines (2006-201...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSat, 28 Apr 2012 10:55:35 -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/2012/Apr/28/t13356250007u73hbc9z8eeop9.htm/, Retrieved Sun, 05 May 2024 05:02:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165041, Retrieved Sun, 05 May 2024 05:02:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94

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] [Standard Deviatio...] [2012-04-28 14:55:35] [3b1daca0bbde728cac84422b4a85488f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
62,11
62,15
62,2
62,22
62,02
62,02
62,02
62,07
62,31
62,71
62,77
62,82
62,82
62,82
62,55
62,6
62,47
62,47
62,47
62,72
63,13
64,09
64,31
64,29
64,29
64,29
64,35
64,42
64,24
64,23
64,23
64,2
65,35
65,83
66,15
66,19
66,19
66,56
66,59
66,48
66,4
66,4
66,4
66,49
66,65
67,69
67,91
68,14
68,14
68,16
67,94
68
68,1
68,12
68,12
68,24
68,42
68,97
69,13
69,2

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'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165041&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165041&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165041&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'AstonUniversity' @ aston.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
162.2850.3044966039518040.799999999999997
263.06166666666670.7316212797408921.84
364.81416666666670.8149786202810171.98999999999999
466.8250.673329582947851.95
568.37833333333330.4534480692594811.26000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 62.285 & 0.304496603951804 & 0.799999999999997 \tabularnewline
2 & 63.0616666666667 & 0.731621279740892 & 1.84 \tabularnewline
3 & 64.8141666666667 & 0.814978620281017 & 1.98999999999999 \tabularnewline
4 & 66.825 & 0.67332958294785 & 1.95 \tabularnewline
5 & 68.3783333333333 & 0.453448069259481 & 1.26000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165041&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]62.285[/C][C]0.304496603951804[/C][C]0.799999999999997[/C][/ROW]
[ROW][C]2[/C][C]63.0616666666667[/C][C]0.731621279740892[/C][C]1.84[/C][/ROW]
[ROW][C]3[/C][C]64.8141666666667[/C][C]0.814978620281017[/C][C]1.98999999999999[/C][/ROW]
[ROW][C]4[/C][C]66.825[/C][C]0.67332958294785[/C][C]1.95[/C][/ROW]
[ROW][C]5[/C][C]68.3783333333333[/C][C]0.453448069259481[/C][C]1.26000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165041&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165041&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
162.2850.3044966039518040.799999999999997
263.06166666666670.7316212797408921.84
364.81416666666670.8149786202810171.98999999999999
466.8250.673329582947851.95
568.37833333333330.4534480692594811.26000000000001






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.224570241523487
beta0.00570137445548534
S.D.0.0477166488899101
T-STAT0.119483966039596
p-value0.912444182280602

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.224570241523487 \tabularnewline
beta & 0.00570137445548534 \tabularnewline
S.D. & 0.0477166488899101 \tabularnewline
T-STAT & 0.119483966039596 \tabularnewline
p-value & 0.912444182280602 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165041&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.224570241523487[/C][/ROW]
[ROW][C]beta[/C][C]0.00570137445548534[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0477166488899101[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.119483966039596[/C][/ROW]
[ROW][C]p-value[/C][C]0.912444182280602[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165041&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165041&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)
alpha0.224570241523487
beta0.00570137445548534
S.D.0.0477166488899101
T-STAT0.119483966039596
p-value0.912444182280602






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.29535423715468
beta1.84838973813226
S.D.5.93011035781837
T-STAT0.311695672863037
p-value0.7756778771991
Lambda-0.84838973813226

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.29535423715468 \tabularnewline
beta & 1.84838973813226 \tabularnewline
S.D. & 5.93011035781837 \tabularnewline
T-STAT & 0.311695672863037 \tabularnewline
p-value & 0.7756778771991 \tabularnewline
Lambda & -0.84838973813226 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165041&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.29535423715468[/C][/ROW]
[ROW][C]beta[/C][C]1.84838973813226[/C][/ROW]
[ROW][C]S.D.[/C][C]5.93011035781837[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.311695672863037[/C][/ROW]
[ROW][C]p-value[/C][C]0.7756778771991[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.84838973813226[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165041&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165041&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-8.29535423715468
beta1.84838973813226
S.D.5.93011035781837
T-STAT0.311695672863037
p-value0.7756778771991
Lambda-0.84838973813226


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')