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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 computationWed, 28 Nov 2007 11:06:06 -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/Nov/28/t1196272546arl30wp05q2wo8c.htm/, Retrieved Thu, 02 May 2024 07:11:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7186, Retrieved Thu, 02 May 2024 07:11:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact191

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] [workshop 7 Q1E] [2007-11-28 18:06:06] [6bae8369195607c4cbc8a8485fed7b2f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
124,9
132
151,4
108,9
121,3
123,4
90,3
79,3
117,2
116,9
120,8
96,1
100,8
105,3
116,1
112,8
114,5
117,2
77,1
80,1
120,3
133,4
109,4
93,2
91,2
99,2
108,2
101,5
106,9
104,4
77,9
60
99,5
95
105,6
102,5
93,3
97,3
127
111,7
96,4
133
72,2
95,8
124,1
127,6
110,7
104,6
112,7
115,3
139,4
119
97,4
154
81,5
88,8
127,7
105,1
114,9
106,4
104,5
121,6
141,4
99
126,7
134,1
81,3
88,6
132,7
132,9
134,4
103,7
119,7
115
132,9
108,5
113,9
142,9
95,2
93

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7186&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]2 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=7186&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7186&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1115.20833333333319.4066276557760.2
2106.68333333333316.526938523807036.1
395.991666666666714.05511607489560
4107.80833333333317.982539932507934
5113.51666666666720.367212213097157.6
6116.74166666666720.321214098184337

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 115.208333333333 & 19.40662765577 & 60.2 \tabularnewline
2 & 106.683333333333 & 16.5269385238070 & 36.1 \tabularnewline
3 & 95.9916666666667 & 14.0551160748956 & 0 \tabularnewline
4 & 107.808333333333 & 17.9825399325079 & 34 \tabularnewline
5 & 113.516666666667 & 20.3672122130971 & 57.6 \tabularnewline
6 & 116.741666666667 & 20.3212140981843 & 37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7186&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]115.208333333333[/C][C]19.40662765577[/C][C]60.2[/C][/ROW]
[ROW][C]2[/C][C]106.683333333333[/C][C]16.5269385238070[/C][C]36.1[/C][/ROW]
[ROW][C]3[/C][C]95.9916666666667[/C][C]14.0551160748956[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]107.808333333333[/C][C]17.9825399325079[/C][C]34[/C][/ROW]
[ROW][C]5[/C][C]113.516666666667[/C][C]20.3672122130971[/C][C]57.6[/C][/ROW]
[ROW][C]6[/C][C]116.741666666667[/C][C]20.3212140981843[/C][C]37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7186&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7186&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
1115.20833333333319.4066276557760.2
2106.68333333333316.526938523807036.1
395.991666666666714.05511607489560
4107.80833333333317.982539932507934
5113.51666666666720.367212213097157.6
6116.74166666666720.321214098184337






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-16.0459294945824
beta0.312425071218471
S.D.0.0402716101796059
T-STAT7.75794833693259
p-value0.00148773716118189

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -16.0459294945824 \tabularnewline
beta & 0.312425071218471 \tabularnewline
S.D. & 0.0402716101796059 \tabularnewline
T-STAT & 7.75794833693259 \tabularnewline
p-value & 0.00148773716118189 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7186&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-16.0459294945824[/C][/ROW]
[ROW][C]beta[/C][C]0.312425071218471[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0402716101796059[/C][/ROW]
[ROW][C]T-STAT[/C][C]7.75794833693259[/C][/ROW]
[ROW][C]p-value[/C][C]0.00148773716118189[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7186&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7186&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-16.0459294945824
beta0.312425071218471
S.D.0.0402716101796059
T-STAT7.75794833693259
p-value0.00148773716118189






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.22617953404251
beta1.94243589531853
S.D.0.227554325749935
T-STAT8.53614137598561
p-value0.00103366373826234
Lambda-0.942435895318527

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.22617953404251 \tabularnewline
beta & 1.94243589531853 \tabularnewline
S.D. & 0.227554325749935 \tabularnewline
T-STAT & 8.53614137598561 \tabularnewline
p-value & 0.00103366373826234 \tabularnewline
Lambda & -0.942435895318527 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7186&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.22617953404251[/C][/ROW]
[ROW][C]beta[/C][C]1.94243589531853[/C][/ROW]
[ROW][C]S.D.[/C][C]0.227554325749935[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.53614137598561[/C][/ROW]
[ROW][C]p-value[/C][C]0.00103366373826234[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.942435895318527[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7186&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7186&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-6.22617953404251
beta1.94243589531853
S.D.0.227554325749935
T-STAT8.53614137598561
p-value0.00103366373826234
Lambda-0.942435895318527


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')