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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 computationTue, 02 Jun 2009 09:35:42 -0600
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/Jun/02/t12439569784gjqb7bqlx7j9qc.htm/, Retrieved Fri, 10 May 2024 15:55:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41282, Retrieved Fri, 10 May 2024 15:55:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

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] [spreidings- en ge...] [2009-05-28 14:35:39] [f51a3e0483d87de686121cc59c59bce8]
-    D    [Standard Deviation-Mean Plot] [spreidings-en gem...] [2009-06-02 15:35:42] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106,07
106,07
106,07
106,07
106,07
106,2
107,5
108,31
108,53
108,61
108,62
108,62
108,62
108,62
110,1
110,74
110,77
110,77
110,78
110,78
110,78
110,84
110,84
110,84
110,84
110,84
111,01
112,66
114,04
114,16
114,2
114,2
114,23
114,23
114,23
114,23
114,23
114,23
115,97
116,96
117,08
117,08
117,08
117,63
119,12
119,47
119,5
119,52
119,49
119,49
119,5
119,5
119,56
122,35
122,92
122,92
123,04
123,04
123,04
123,06
123,33
128,21
129,57
129,79
131,66
135,01
136,01
136,31
136,37
136,4
136,4
136,4
137,34
142,18
143,79
144,08
144,08
144,09
144,09
144,11
144,11
144,15
144,15
144,16
144,2
144,38
144,38
144,28
144,46
144,53
144,53
145,34
147,98
150,42
150,53
150,64

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41282&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41282&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41282&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1107.2283333333331.224253637812432.55000000000001
2110.3733333333330.8432440963686632.22
3113.2391666666671.479535912085783.39
4117.32251.877426308927875.28999999999999
5121.49251.761890126591843.57000000000001
6132.9554.3733334488174413.07
7143.3608333333331.975612486539236.81999999999999
8146.3058333333332.746255163717026.44

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 107.228333333333 & 1.22425363781243 & 2.55000000000001 \tabularnewline
2 & 110.373333333333 & 0.843244096368663 & 2.22 \tabularnewline
3 & 113.239166666667 & 1.47953591208578 & 3.39 \tabularnewline
4 & 117.3225 & 1.87742630892787 & 5.28999999999999 \tabularnewline
5 & 121.4925 & 1.76189012659184 & 3.57000000000001 \tabularnewline
6 & 132.955 & 4.37333344881744 & 13.07 \tabularnewline
7 & 143.360833333333 & 1.97561248653923 & 6.81999999999999 \tabularnewline
8 & 146.305833333333 & 2.74625516371702 & 6.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41282&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]107.228333333333[/C][C]1.22425363781243[/C][C]2.55000000000001[/C][/ROW]
[ROW][C]2[/C][C]110.373333333333[/C][C]0.843244096368663[/C][C]2.22[/C][/ROW]
[ROW][C]3[/C][C]113.239166666667[/C][C]1.47953591208578[/C][C]3.39[/C][/ROW]
[ROW][C]4[/C][C]117.3225[/C][C]1.87742630892787[/C][C]5.28999999999999[/C][/ROW]
[ROW][C]5[/C][C]121.4925[/C][C]1.76189012659184[/C][C]3.57000000000001[/C][/ROW]
[ROW][C]6[/C][C]132.955[/C][C]4.37333344881744[/C][C]13.07[/C][/ROW]
[ROW][C]7[/C][C]143.360833333333[/C][C]1.97561248653923[/C][C]6.81999999999999[/C][/ROW]
[ROW][C]8[/C][C]146.305833333333[/C][C]2.74625516371702[/C][C]6.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41282&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41282&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
1107.2283333333331.224253637812432.55000000000001
2110.3733333333330.8432440963686632.22
3113.2391666666671.479535912085783.39
4117.32251.877426308927875.28999999999999
5121.49251.761890126591843.57000000000001
6132.9554.3733334488174413.07
7143.3608333333331.975612486539236.81999999999999
8146.3058333333332.746255163717026.44






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-3.689199093718
beta0.0461515492698406
S.D.0.0231127913013434
T-STAT1.99679686750592
p-value0.0928374649997507

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3.689199093718 \tabularnewline
beta & 0.0461515492698406 \tabularnewline
S.D. & 0.0231127913013434 \tabularnewline
T-STAT & 1.99679686750592 \tabularnewline
p-value & 0.0928374649997507 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41282&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.689199093718[/C][/ROW]
[ROW][C]beta[/C][C]0.0461515492698406[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0231127913013434[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.99679686750592[/C][/ROW]
[ROW][C]p-value[/C][C]0.0928374649997507[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41282&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41282&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-3.689199093718
beta0.0461515492698406
S.D.0.0231127913013434
T-STAT1.99679686750592
p-value0.0928374649997507






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-14.2249334088357
beta3.07902036013494
S.D.1.15571901052191
T-STAT2.66416000091969
p-value0.037316228527969
Lambda-2.07902036013494

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -14.2249334088357 \tabularnewline
beta & 3.07902036013494 \tabularnewline
S.D. & 1.15571901052191 \tabularnewline
T-STAT & 2.66416000091969 \tabularnewline
p-value & 0.037316228527969 \tabularnewline
Lambda & -2.07902036013494 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41282&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.2249334088357[/C][/ROW]
[ROW][C]beta[/C][C]3.07902036013494[/C][/ROW]
[ROW][C]S.D.[/C][C]1.15571901052191[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.66416000091969[/C][/ROW]
[ROW][C]p-value[/C][C]0.037316228527969[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.07902036013494[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41282&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41282&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-14.2249334088357
beta3.07902036013494
S.D.1.15571901052191
T-STAT2.66416000091969
p-value0.037316228527969
Lambda-2.07902036013494


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')