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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, 05 Dec 2011 16:01:59 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/05/t1323118982t220ay7p662qbay.htm/, Retrieved Fri, 03 May 2024 11:38:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151276, Retrieved Fri, 03 May 2024 11:38:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact87

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] [opgave 8 verbeter...] [2011-12-05 21:01:59] [cbc0158ed4ce90347cf58cee0539a6b2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106,09
106,19
106,2
106,22
106,22
106,23
106,23
106,61
106,95
107,2
107,56
107,72
107,74
107,8
107,8
108,1
108,14
108,16
108,16
108,16
108,95
110,49
110,71
110,72
110,75
110,82
110,82
110,84
110,84
110,84
110,86
110,92
111,46
112,46
113,04
113,15
113,15
113,21
113,37
113,47
113,71
113,71
113,71
113,8
115,46
117
117,94
118,08
118,08
118,45
118,47
118,49
118,54
118,55
118,55
118,55
119,04
121,37
121,73
121,83
121,83
121,91
122
122,03
122,14
122,14
122,23
122,49
123,02
125,98
126,13
126,39

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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151276&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151276&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151276&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1106.6183333333330.5881687038957651.63
2108.7441666666671.185276786495912.98
3111.40.9262534504904462.40000000000001
4114.71751.89354465583374.92999999999999
5119.3041666666671.429529218966443.75
6123.1908333333331.823156395492244.56

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 106.618333333333 & 0.588168703895765 & 1.63 \tabularnewline
2 & 108.744166666667 & 1.18527678649591 & 2.98 \tabularnewline
3 & 111.4 & 0.926253450490446 & 2.40000000000001 \tabularnewline
4 & 114.7175 & 1.8935446558337 & 4.92999999999999 \tabularnewline
5 & 119.304166666667 & 1.42952921896644 & 3.75 \tabularnewline
6 & 123.190833333333 & 1.82315639549224 & 4.56 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151276&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]106.618333333333[/C][C]0.588168703895765[/C][C]1.63[/C][/ROW]
[ROW][C]2[/C][C]108.744166666667[/C][C]1.18527678649591[/C][C]2.98[/C][/ROW]
[ROW][C]3[/C][C]111.4[/C][C]0.926253450490446[/C][C]2.40000000000001[/C][/ROW]
[ROW][C]4[/C][C]114.7175[/C][C]1.8935446558337[/C][C]4.92999999999999[/C][/ROW]
[ROW][C]5[/C][C]119.304166666667[/C][C]1.42952921896644[/C][C]3.75[/C][/ROW]
[ROW][C]6[/C][C]123.190833333333[/C][C]1.82315639549224[/C][C]4.56[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151276&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151276&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
1106.6183333333330.5881687038957651.63
2108.7441666666671.185276786495912.98
3111.40.9262534504904462.40000000000001
4114.71751.89354465583374.92999999999999
5119.3041666666671.429529218966443.75
6123.1908333333331.823156395492244.56






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-5.88818656990809
beta0.0631237232802705
S.D.0.0248041896624779
T-STAT2.54488149539349
p-value0.06365014276487

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -5.88818656990809 \tabularnewline
beta & 0.0631237232802705 \tabularnewline
S.D. & 0.0248041896624779 \tabularnewline
T-STAT & 2.54488149539349 \tabularnewline
p-value & 0.06365014276487 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151276&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.88818656990809[/C][/ROW]
[ROW][C]beta[/C][C]0.0631237232802705[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0248041896624779[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.54488149539349[/C][/ROW]
[ROW][C]p-value[/C][C]0.06365014276487[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151276&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151276&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-5.88818656990809
beta0.0631237232802705
S.D.0.0248041896624779
T-STAT2.54488149539349
p-value0.06365014276487






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-29.9202323814715
beta6.3599107937831
S.D.2.44700062639525
T-STAT2.59906381926516
p-value0.0601073269994069
Lambda-5.3599107937831

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -29.9202323814715 \tabularnewline
beta & 6.3599107937831 \tabularnewline
S.D. & 2.44700062639525 \tabularnewline
T-STAT & 2.59906381926516 \tabularnewline
p-value & 0.0601073269994069 \tabularnewline
Lambda & -5.3599107937831 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151276&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-29.9202323814715[/C][/ROW]
[ROW][C]beta[/C][C]6.3599107937831[/C][/ROW]
[ROW][C]S.D.[/C][C]2.44700062639525[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.59906381926516[/C][/ROW]
[ROW][C]p-value[/C][C]0.0601073269994069[/C][/ROW]
[ROW][C]Lambda[/C][C]-5.3599107937831[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151276&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151276&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-29.9202323814715
beta6.3599107937831
S.D.2.44700062639525
T-STAT2.59906381926516
p-value0.0601073269994069
Lambda-5.3599107937831


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')