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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 computationTue, 06 Dec 2011 16:49:39 -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/06/t1323208237hn5yenysdxr5dhu.htm/, Retrieved Mon, 29 Apr 2024 05:04:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151973, Retrieved Mon, 29 Apr 2024 05:04:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Standard Deviation-Mean Plot] [Births] [2010-11-29 10:52:49] [b98453cac15ba1066b407e146608df68]
- R PD          [Standard Deviation-Mean Plot] [WS9 - Standard De...] [2010-12-07 09:15:36] [1f5baf2b24e732d76900bb8178fc04e7]
- R                 [Standard Deviation-Mean Plot] [SDM plot] [2011-12-06 21:49:39] [0f9b7c3b8d01420b2751adc6f98a35df] [Current]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2.4
2.4
2.5
2.6
2.4
2.6
2.4
2.3
2.4
2.4
2.4
2.4
2.4
2.4
2.4
2.4
2.5
2.1
2.1
2
2
2
1.9
1.9
2
1.8
1.6
1.3
1.4
1.4
1.5
1.7
1.6
1.5
1.6
1.5
1.1
1.1
1.1
1.4
1.3
1.4
1.3
1.1
1
0.9
0.8
0.8
0.8
0.8
1
1.1
1
0.9
1.1
1.2
1.2
1.4
1.5
1.7
1.9
1.9
1.9
1.7
1.7
2.1
2
2
2.5
2.4
2.5
2.5
2
1.9
2.2
2.7
3.1
2.8
2.6
2.3
2.2
2.2
2
2
2.6
2.5
2.5
2.3
2
1.9
2
2.1
2.1
2.3
2.3
2.3
2.1
2.4
2.5
2.1
1.8
1.9
1.9
2.1
2.2
2
2.2
2
1.9
1.6
1.7
2
2.5
2.4
2.3
2.3
2.1
2.4
2.2
2.4
1.9
2.1
2.1
2.1
2
2.1
2.2
2.2
2.6
2.5
2.3
2.2
2.4
2.3
2.2
2.5
2.5
2.5
2.4
2.3
1.7
1.6
1.9
1.9
1.8
1.8
1.9
1.9
1.9
1.9
1.8
1.7
2.1
2.6
3.1
3.1
3.2
3.3
3.6
3.3
3.7
4
4
3.8
3.6
3.2
2.1
1.6
1.1
1.2
0.6
0.6
0
-0.1
-0.6
-0.2
-0.3
-0.1
0.5
0.9

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=151973&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=151973&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151973&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
12.433333333333330.08876253645985950.3
22.1750.2261335084333230.6
31.5750.1912875037500070.7
41.108333333333330.2108783937953270.6
51.141666666666670.2778434265858560.9
62.091666666666670.3058767824804720.8
72.333333333333330.3797926068822621.2
82.241666666666670.2234373344457960.7
92.10.2044949432582180.7
102.150.2938769068226290.9
112.191666666666670.1975225341958520.7
122.183333333333330.3242707435947860.9
132.133333333333330.5069217858503391.4
143.283333333333330.7334022006230882.4
150.30.5923758020961791.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2.43333333333333 & 0.0887625364598595 & 0.3 \tabularnewline
2 & 2.175 & 0.226133508433323 & 0.6 \tabularnewline
3 & 1.575 & 0.191287503750007 & 0.7 \tabularnewline
4 & 1.10833333333333 & 0.210878393795327 & 0.6 \tabularnewline
5 & 1.14166666666667 & 0.277843426585856 & 0.9 \tabularnewline
6 & 2.09166666666667 & 0.305876782480472 & 0.8 \tabularnewline
7 & 2.33333333333333 & 0.379792606882262 & 1.2 \tabularnewline
8 & 2.24166666666667 & 0.223437334445796 & 0.7 \tabularnewline
9 & 2.1 & 0.204494943258218 & 0.7 \tabularnewline
10 & 2.15 & 0.293876906822629 & 0.9 \tabularnewline
11 & 2.19166666666667 & 0.197522534195852 & 0.7 \tabularnewline
12 & 2.18333333333333 & 0.324270743594786 & 0.9 \tabularnewline
13 & 2.13333333333333 & 0.506921785850339 & 1.4 \tabularnewline
14 & 3.28333333333333 & 0.733402200623088 & 2.4 \tabularnewline
15 & 0.3 & 0.592375802096179 & 1.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151973&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]2.43333333333333[/C][C]0.0887625364598595[/C][C]0.3[/C][/ROW]
[ROW][C]2[/C][C]2.175[/C][C]0.226133508433323[/C][C]0.6[/C][/ROW]
[ROW][C]3[/C][C]1.575[/C][C]0.191287503750007[/C][C]0.7[/C][/ROW]
[ROW][C]4[/C][C]1.10833333333333[/C][C]0.210878393795327[/C][C]0.6[/C][/ROW]
[ROW][C]5[/C][C]1.14166666666667[/C][C]0.277843426585856[/C][C]0.9[/C][/ROW]
[ROW][C]6[/C][C]2.09166666666667[/C][C]0.305876782480472[/C][C]0.8[/C][/ROW]
[ROW][C]7[/C][C]2.33333333333333[/C][C]0.379792606882262[/C][C]1.2[/C][/ROW]
[ROW][C]8[/C][C]2.24166666666667[/C][C]0.223437334445796[/C][C]0.7[/C][/ROW]
[ROW][C]9[/C][C]2.1[/C][C]0.204494943258218[/C][C]0.7[/C][/ROW]
[ROW][C]10[/C][C]2.15[/C][C]0.293876906822629[/C][C]0.9[/C][/ROW]
[ROW][C]11[/C][C]2.19166666666667[/C][C]0.197522534195852[/C][C]0.7[/C][/ROW]
[ROW][C]12[/C][C]2.18333333333333[/C][C]0.324270743594786[/C][C]0.9[/C][/ROW]
[ROW][C]13[/C][C]2.13333333333333[/C][C]0.506921785850339[/C][C]1.4[/C][/ROW]
[ROW][C]14[/C][C]3.28333333333333[/C][C]0.733402200623088[/C][C]2.4[/C][/ROW]
[ROW][C]15[/C][C]0.3[/C][C]0.592375802096179[/C][C]1.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151973&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151973&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
12.433333333333330.08876253645985950.3
22.1750.2261335084333230.6
31.5750.1912875037500070.7
41.108333333333330.2108783937953270.6
51.141666666666670.2778434265858560.9
62.091666666666670.3058767824804720.8
72.333333333333330.3797926068822621.2
82.241666666666670.2234373344457960.7
92.10.2044949432582180.7
102.150.2938769068226290.9
112.191666666666670.1975225341958520.7
122.183333333333330.3242707435947860.9
132.133333333333330.5069217858503391.4
143.283333333333330.7334022006230882.4
150.30.5923758020961791.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.28235111428508
beta0.0177167380129449
S.D.0.0685824216990977
T-STAT0.258327681846469
p-value0.800198728870054

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.28235111428508 \tabularnewline
beta & 0.0177167380129449 \tabularnewline
S.D. & 0.0685824216990977 \tabularnewline
T-STAT & 0.258327681846469 \tabularnewline
p-value & 0.800198728870054 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151973&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.28235111428508[/C][/ROW]
[ROW][C]beta[/C][C]0.0177167380129449[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0685824216990977[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.258327681846469[/C][/ROW]
[ROW][C]p-value[/C][C]0.800198728870054[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151973&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151973&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)
alpha0.28235111428508
beta0.0177167380129449
S.D.0.0685824216990977
T-STAT0.258327681846469
p-value0.800198728870054






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.16006836704536
beta-0.201174375858628
S.D.0.251036932357441
T-STAT-0.801373622476329
p-value0.437318300572726
Lambda1.20117437585863

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.16006836704536 \tabularnewline
beta & -0.201174375858628 \tabularnewline
S.D. & 0.251036932357441 \tabularnewline
T-STAT & -0.801373622476329 \tabularnewline
p-value & 0.437318300572726 \tabularnewline
Lambda & 1.20117437585863 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151973&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.16006836704536[/C][/ROW]
[ROW][C]beta[/C][C]-0.201174375858628[/C][/ROW]
[ROW][C]S.D.[/C][C]0.251036932357441[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.801373622476329[/C][/ROW]
[ROW][C]p-value[/C][C]0.437318300572726[/C][/ROW]
[ROW][C]Lambda[/C][C]1.20117437585863[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151973&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151973&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-1.16006836704536
beta-0.201174375858628
S.D.0.251036932357441
T-STAT-0.801373622476329
p-value0.437318300572726
Lambda1.20117437585863


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')