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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, 25 Apr 2016 22:46:56 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/25/t1461620846mxch06iajv49hl8.htm/, Retrieved Mon, 06 May 2024 03:45:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294807, Retrieved Mon, 06 May 2024 03:45:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60

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] [Consumptieprijsin...] [2016-04-25 21:46:56] [268d33ec1c95cc32f8abd6e0112b4a36] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
98,72
98,67
98,82
99,39
99,33
99,22
99,05
98,83
98,84
98,89
98,8
99,4
98,89
98,85
98,69
98,48
98,39
98,35
98,26
98,06
98,14
98,17
98,41
98,64
99,25
99,61
100,28
100,31
100,55
100,45
100,78
100,68
101,69
98,09
99,13
99,18
96,22
96,11
96
95,96
97,95
98,43
98,32
97,45
96,42
95,36
95,1
95,54
94,07
93,48
92,86
90,98
91,45
91,16
90,71
90,31
89,78
91,02
90,77
90,69

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'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294807&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294807&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
198.99666666666670.2693538846044650.730000000000004
298.44416666666670.2739760551359880.829999999999998
31000.9722700709726133.59999999999999
496.57166666666671.165424880254043.33000000000001
591.441.319028568165364.28999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 98.9966666666667 & 0.269353884604465 & 0.730000000000004 \tabularnewline
2 & 98.4441666666667 & 0.273976055135988 & 0.829999999999998 \tabularnewline
3 & 100 & 0.972270070972613 & 3.59999999999999 \tabularnewline
4 & 96.5716666666667 & 1.16542488025404 & 3.33000000000001 \tabularnewline
5 & 91.44 & 1.31902856816536 & 4.28999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294807&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]98.9966666666667[/C][C]0.269353884604465[/C][C]0.730000000000004[/C][/ROW]
[ROW][C]2[/C][C]98.4441666666667[/C][C]0.273976055135988[/C][C]0.829999999999998[/C][/ROW]
[ROW][C]3[/C][C]100[/C][C]0.972270070972613[/C][C]3.59999999999999[/C][/ROW]
[ROW][C]4[/C][C]96.5716666666667[/C][C]1.16542488025404[/C][C]3.33000000000001[/C][/ROW]
[ROW][C]5[/C][C]91.44[/C][C]1.31902856816536[/C][C]4.28999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294807&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
198.99666666666670.2693538846044650.730000000000004
298.44416666666670.2739760551359880.829999999999998
31000.9722700709726133.59999999999999
496.57166666666671.165424880254043.33000000000001
591.441.319028568165364.28999999999999






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha9.94469447797023
beta-0.0941872148783221
S.D.0.0648328037771275
T-STAT-1.45277096455839
p-value0.24223148076809

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9.94469447797023 \tabularnewline
beta & -0.0941872148783221 \tabularnewline
S.D. & 0.0648328037771275 \tabularnewline
T-STAT & -1.45277096455839 \tabularnewline
p-value & 0.24223148076809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294807&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.94469447797023[/C][/ROW]
[ROW][C]beta[/C][C]-0.0941872148783221[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0648328037771275[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.45277096455839[/C][/ROW]
[ROW][C]p-value[/C][C]0.24223148076809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294807&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294807&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)
alpha9.94469447797023
beta-0.0941872148783221
S.D.0.0648328037771275
T-STAT-1.45277096455839
p-value0.24223148076809






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha56.2821074251135
beta-12.3980880870084
S.D.10.7243033832965
T-STAT-1.15607397924968
p-value0.331357857736845
Lambda13.3980880870084

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 56.2821074251135 \tabularnewline
beta & -12.3980880870084 \tabularnewline
S.D. & 10.7243033832965 \tabularnewline
T-STAT & -1.15607397924968 \tabularnewline
p-value & 0.331357857736845 \tabularnewline
Lambda & 13.3980880870084 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294807&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]56.2821074251135[/C][/ROW]
[ROW][C]beta[/C][C]-12.3980880870084[/C][/ROW]
[ROW][C]S.D.[/C][C]10.7243033832965[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.15607397924968[/C][/ROW]
[ROW][C]p-value[/C][C]0.331357857736845[/C][/ROW]
[ROW][C]Lambda[/C][C]13.3980880870084[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294807&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294807&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)
alpha56.2821074251135
beta-12.3980880870084
S.D.10.7243033832965
T-STAT-1.15607397924968
p-value0.331357857736845
Lambda13.3980880870084


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')