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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 computationFri, 19 Dec 2008 09:05:49 -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/2008/Dec/19/t1229702805tewk057l6b88lit.htm/, Retrieved Wed, 15 May 2024 10:45:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35206, Retrieved Wed, 15 May 2024 10:45:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact217

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] [SDM plot ruwe inv...] [2008-12-17 18:05:37] [5161246d1ccc1b670cc664d03050f084]
-   PD    [Standard Deviation-Mean Plot] [paper: sdm plot n...] [2008-12-19 16:05:49] [366411ff82333cf2a466cacd3525c11d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101.3
91.5
152.6
86.6
86.6
98.5
86.7
89.1
111
92.6
85.1
116.1
98.3
97.7
177.9
94.2
83.8
109.5
102.3
102.5
162.7
85.3
88.2
104.7
99.4
113.8
166.6
89.2
93.2
115
97.2
112.5
121.8
100.2
93.8
113.6
110.7
127.6
185.9
105.9
108
125.2
106.2
123.3
145.2
114.3
108.4
120.9
126.3
141.3
208.2
131.6
119.8
122.5
137.6
141
154.1
127
106.1
129.9

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35206&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]2 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=35206&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35206&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
199.808333333333319.433591271223467.5
2108.92529.889649318177694.1
3109.69166666666720.779949178927077.4
4123.46666666666722.797381561499780
5137.11666666666725.4977657963607102.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 99.8083333333333 & 19.4335912712234 & 67.5 \tabularnewline
2 & 108.925 & 29.8896493181776 & 94.1 \tabularnewline
3 & 109.691666666667 & 20.7799491789270 & 77.4 \tabularnewline
4 & 123.466666666667 & 22.7973815614997 & 80 \tabularnewline
5 & 137.116666666667 & 25.4977657963607 & 102.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35206&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]99.8083333333333[/C][C]19.4335912712234[/C][C]67.5[/C][/ROW]
[ROW][C]2[/C][C]108.925[/C][C]29.8896493181776[/C][C]94.1[/C][/ROW]
[ROW][C]3[/C][C]109.691666666667[/C][C]20.7799491789270[/C][C]77.4[/C][/ROW]
[ROW][C]4[/C][C]123.466666666667[/C][C]22.7973815614997[/C][C]80[/C][/ROW]
[ROW][C]5[/C][C]137.116666666667[/C][C]25.4977657963607[/C][C]102.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35206&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35206&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
199.808333333333319.433591271223467.5
2108.92529.889649318177694.1
3109.69166666666720.779949178927077.4
4123.46666666666722.797381561499780
5137.11666666666725.4977657963607102.1






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha13.5155451816564
beta0.0877718131021252
S.D.0.156248427470864
T-STAT0.561745257362621
p-value0.61352312083872

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 13.5155451816564 \tabularnewline
beta & 0.0877718131021252 \tabularnewline
S.D. & 0.156248427470864 \tabularnewline
T-STAT & 0.561745257362621 \tabularnewline
p-value & 0.61352312083872 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35206&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.5155451816564[/C][/ROW]
[ROW][C]beta[/C][C]0.0877718131021252[/C][/ROW]
[ROW][C]S.D.[/C][C]0.156248427470864[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.561745257362621[/C][/ROW]
[ROW][C]p-value[/C][C]0.61352312083872[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35206&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35206&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)
alpha13.5155451816564
beta0.0877718131021252
S.D.0.156248427470864
T-STAT0.561745257362621
p-value0.61352312083872






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.681339424661954
beta0.520770448058806
S.D.0.737632864143141
T-STAT0.706002231426809
p-value0.531074579388878
Lambda0.479229551941194

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.681339424661954 \tabularnewline
beta & 0.520770448058806 \tabularnewline
S.D. & 0.737632864143141 \tabularnewline
T-STAT & 0.706002231426809 \tabularnewline
p-value & 0.531074579388878 \tabularnewline
Lambda & 0.479229551941194 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35206&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.681339424661954[/C][/ROW]
[ROW][C]beta[/C][C]0.520770448058806[/C][/ROW]
[ROW][C]S.D.[/C][C]0.737632864143141[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.706002231426809[/C][/ROW]
[ROW][C]p-value[/C][C]0.531074579388878[/C][/ROW]
[ROW][C]Lambda[/C][C]0.479229551941194[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35206&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35206&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)
alpha0.681339424661954
beta0.520770448058806
S.D.0.737632864143141
T-STAT0.706002231426809
p-value0.531074579388878
Lambda0.479229551941194


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')