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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, 17 Dec 2007 08:40:24 -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/2007/Dec/17/t1197905027yvt80d9h7oef3w4.htm/, Retrieved Fri, 03 May 2024 22:54:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4380, Retrieved Fri, 03 May 2024 22:54:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsStandard deviation mean plot Tinne Van der Eycken
Estimated Impact169

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] [Paper: industriël...] [2007-12-17 15:40:24] [c8635c97647ba59406cb570a9fab7b02] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
86,5
104,1
110,9
114,5
112,2
96,4
92
102
99,7
102
98,9
87,4
94,4
109,3
116,4
101
105,5
97,8
95,5
113,7
103,7
100,8
113,8
84,6
95,3
110
107,5
107,6
116
96,9
97
108,1
101,9
107,2
110,2
78,7
96,5
115,2
104,7
109,1
108,4
95,5
97,8
115,1
96,2
112
111,8
82,5
100,8
116
116,3
116,6
112,9
100,9
104,1
117,4
103,3
111,6
115
92,6
105,2

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4380&T=0

[TABLE]
[ROW][C]Summary of compuational 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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4380&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4380&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1100.559.1370872621620328
2103.0416666666679.3504942342232612.3
3103.0333333333339.9044832211876611.3
4103.73333333333310.038682757969414.2
5108.9583333333338.2399755442414411.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 100.55 & 9.13708726216203 & 28 \tabularnewline
2 & 103.041666666667 & 9.35049423422326 & 12.3 \tabularnewline
3 & 103.033333333333 & 9.90448322118766 & 11.3 \tabularnewline
4 & 103.733333333333 & 10.0386827579694 & 14.2 \tabularnewline
5 & 108.958333333333 & 8.23997554424144 & 11.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4380&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]100.55[/C][C]9.13708726216203[/C][C]28[/C][/ROW]
[ROW][C]2[/C][C]103.041666666667[/C][C]9.35049423422326[/C][C]12.3[/C][/ROW]
[ROW][C]3[/C][C]103.033333333333[/C][C]9.90448322118766[/C][C]11.3[/C][/ROW]
[ROW][C]4[/C][C]103.733333333333[/C][C]10.0386827579694[/C][C]14.2[/C][/ROW]
[ROW][C]5[/C][C]108.958333333333[/C][C]8.23997554424144[/C][C]11.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4380&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4380&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
1100.559.1370872621620328
2103.0416666666679.3504942342232612.3
3103.0333333333339.9044832211876611.3
4103.73333333333310.038682757969414.2
5108.9583333333338.2399755442414411.9






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha24.2429422693973
beta-0.143542453211983
S.D.0.105044269380940
T-STAT-1.36649485077030
p-value0.265189938149794

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 24.2429422693973 \tabularnewline
beta & -0.143542453211983 \tabularnewline
S.D. & 0.105044269380940 \tabularnewline
T-STAT & -1.36649485077030 \tabularnewline
p-value & 0.265189938149794 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4380&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.2429422693973[/C][/ROW]
[ROW][C]beta[/C][C]-0.143542453211983[/C][/ROW]
[ROW][C]S.D.[/C][C]0.105044269380940[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.36649485077030[/C][/ROW]
[ROW][C]p-value[/C][C]0.265189938149794[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4380&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4380&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)
alpha24.2429422693973
beta-0.143542453211983
S.D.0.105044269380940
T-STAT-1.36649485077030
p-value0.265189938149794






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.0708586654076
beta-1.68858086424399
S.D.1.19523695786448
T-STAT-1.41275824273454
p-value0.252600946258493
Lambda2.68858086424399

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.0708586654076 \tabularnewline
beta & -1.68858086424399 \tabularnewline
S.D. & 1.19523695786448 \tabularnewline
T-STAT & -1.41275824273454 \tabularnewline
p-value & 0.252600946258493 \tabularnewline
Lambda & 2.68858086424399 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4380&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.0708586654076[/C][/ROW]
[ROW][C]beta[/C][C]-1.68858086424399[/C][/ROW]
[ROW][C]S.D.[/C][C]1.19523695786448[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.41275824273454[/C][/ROW]
[ROW][C]p-value[/C][C]0.252600946258493[/C][/ROW]
[ROW][C]Lambda[/C][C]2.68858086424399[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4380&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4380&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)
alpha10.0708586654076
beta-1.68858086424399
S.D.1.19523695786448
T-STAT-1.41275824273454
p-value0.252600946258493
Lambda2.68858086424399


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')