FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationSat, 19 Dec 2009 05:46:35 -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/19/t1261227008uy773a8ilerwgmq.htm/, Retrieved Fri, 03 May 2024 22:43:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69556, Retrieved Fri, 03 May 2024 22:43:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsSMP Inflatie (correcte versie)
Estimated Impact121

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] [SMP inflatie] [2009-12-19 12:46:35] [8b8f95c5f2993a04d1b74eff1a82c018] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
91,02
91,19
91,53
91,88
92,06
92,32
92,67
92,85
92,82
93,46
93,23
93,54
93,29
93,2
93,6
93,81
94,62
95,22
95,38
95,31
95,3
95,57
95,42
95,53
95,33
95,90
96,06
96,31
96,34
96,49
96,22
96,53
96,50
96,77
96,66
96,58
96,63
97,06
97,73
98,01
97,76
97,49
97,77
97,96
98,23
98,51
98,19
98,37
98,31
98,60
98,97
99,11
99,64
100,03
99,98
100,32
100,44
100,51
101,00
100,88
100,55
100,83
101,51
102,16
102,39
102,54
102,85
103,47
103,57
103,69
103,5
103,47
103,45
103,48
103,93
103,89
104,4
104,79
104,77
105,13
105,26
104,96
104,75
105,01
105,15
105,2
105,77
105,78
106,26
106,13
106,12
106,57
106,44
106,54
107,1
108,1
108,4
108,84
109,62
110,42
110,67
111,66
112,28
112,87
112,18
112,36
112,16
111,49
111,25
111,36
111,74
111,1
111,33
111,25
111,04
110,97
111,31
111,02
111,07
111,36

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69556&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]3 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=69556&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69556&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
192.38083333333330.8569126223975492.52000000000001
294.68750.937783896408782.36999999999999
396.30750.3958678613329991.44000000000000
497.80916666666670.5439495018897091.88000000000001
599.81583333333330.8905305704857622.69
6102.5441666666671.097215138706203.14
7104.4850.6405182560736541.81000000000000
8106.2633333333330.8068269312372342.94999999999999
9111.0791666666671.480131802075464.47
10111.2333333333330.2134705997782760.769999999999996

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 92.3808333333333 & 0.856912622397549 & 2.52000000000001 \tabularnewline
2 & 94.6875 & 0.93778389640878 & 2.36999999999999 \tabularnewline
3 & 96.3075 & 0.395867861332999 & 1.44000000000000 \tabularnewline
4 & 97.8091666666667 & 0.543949501889709 & 1.88000000000001 \tabularnewline
5 & 99.8158333333333 & 0.890530570485762 & 2.69 \tabularnewline
6 & 102.544166666667 & 1.09721513870620 & 3.14 \tabularnewline
7 & 104.485 & 0.640518256073654 & 1.81000000000000 \tabularnewline
8 & 106.263333333333 & 0.806826931237234 & 2.94999999999999 \tabularnewline
9 & 111.079166666667 & 1.48013180207546 & 4.47 \tabularnewline
10 & 111.233333333333 & 0.213470599778276 & 0.769999999999996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69556&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]92.3808333333333[/C][C]0.856912622397549[/C][C]2.52000000000001[/C][/ROW]
[ROW][C]2[/C][C]94.6875[/C][C]0.93778389640878[/C][C]2.36999999999999[/C][/ROW]
[ROW][C]3[/C][C]96.3075[/C][C]0.395867861332999[/C][C]1.44000000000000[/C][/ROW]
[ROW][C]4[/C][C]97.8091666666667[/C][C]0.543949501889709[/C][C]1.88000000000001[/C][/ROW]
[ROW][C]5[/C][C]99.8158333333333[/C][C]0.890530570485762[/C][C]2.69[/C][/ROW]
[ROW][C]6[/C][C]102.544166666667[/C][C]1.09721513870620[/C][C]3.14[/C][/ROW]
[ROW][C]7[/C][C]104.485[/C][C]0.640518256073654[/C][C]1.81000000000000[/C][/ROW]
[ROW][C]8[/C][C]106.263333333333[/C][C]0.806826931237234[/C][C]2.94999999999999[/C][/ROW]
[ROW][C]9[/C][C]111.079166666667[/C][C]1.48013180207546[/C][C]4.47[/C][/ROW]
[ROW][C]10[/C][C]111.233333333333[/C][C]0.213470599778276[/C][C]0.769999999999996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69556&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69556&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
192.38083333333330.8569126223975492.52000000000001
294.68750.937783896408782.36999999999999
396.30750.3958678613329991.44000000000000
497.80916666666670.5439495018897091.88000000000001
599.81583333333330.8905305704857622.69
6102.5441666666671.097215138706203.14
7104.4850.6405182560736541.81000000000000
8106.2633333333330.8068269312372342.94999999999999
9111.0791666666671.480131802075464.47
10111.2333333333330.2134705997782760.769999999999996






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.234242496356692
beta0.00543060253620294
S.D.0.0192867515853560
T-STAT0.281571653586613
p-value0.785418111707305

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.234242496356692 \tabularnewline
beta & 0.00543060253620294 \tabularnewline
S.D. & 0.0192867515853560 \tabularnewline
T-STAT & 0.281571653586613 \tabularnewline
p-value & 0.785418111707305 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69556&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.234242496356692[/C][/ROW]
[ROW][C]beta[/C][C]0.00543060253620294[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0192867515853560[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.281571653586613[/C][/ROW]
[ROW][C]p-value[/C][C]0.785418111707305[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69556&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69556&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)
alpha0.234242496356692
beta0.00543060253620294
S.D.0.0192867515853560
T-STAT0.281571653586613
p-value0.785418111707305






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.15429768628759
beta-0.976948838656306
S.D.3.01444565831635
T-STAT-0.324089052977641
p-value0.754181611089995
Lambda1.97694883865631

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.15429768628759 \tabularnewline
beta & -0.976948838656306 \tabularnewline
S.D. & 3.01444565831635 \tabularnewline
T-STAT & -0.324089052977641 \tabularnewline
p-value & 0.754181611089995 \tabularnewline
Lambda & 1.97694883865631 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69556&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.15429768628759[/C][/ROW]
[ROW][C]beta[/C][C]-0.976948838656306[/C][/ROW]
[ROW][C]S.D.[/C][C]3.01444565831635[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.324089052977641[/C][/ROW]
[ROW][C]p-value[/C][C]0.754181611089995[/C][/ROW]
[ROW][C]Lambda[/C][C]1.97694883865631[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69556&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69556&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)
alpha4.15429768628759
beta-0.976948838656306
S.D.3.01444565831635
T-STAT-0.324089052977641
p-value0.754181611089995
Lambda1.97694883865631


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')