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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, 21 Nov 2007 15:14:13 -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/21/t1195684715nkcrs08xl5p1uon.htm/, Retrieved Tue, 07 May 2024 06:12:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5902, Retrieved Tue, 07 May 2024 06:12:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact245

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] [WS9] [2007-11-21 22:14:13] [d66dce91cbb8b108f7114f1eb0c2faa2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
476049
474605
470439
461251
454724
455626
516847
525192
522975
518585
509239
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5902&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5902&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5902&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1491480.83333333328234.064982291249143
2538140.530455.5634072750105109
3576612.08333333329164.6853090213142174
4596397.41666666721872.3045735026167633
5588261.16666666722629.6202869896171085

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 491480.833333333 & 28234.0649822912 & 49143 \tabularnewline
2 & 538140.5 & 30455.5634072750 & 105109 \tabularnewline
3 & 576612.083333333 & 29164.6853090213 & 142174 \tabularnewline
4 & 596397.416666667 & 21872.3045735026 & 167633 \tabularnewline
5 & 588261.166666667 & 22629.6202869896 & 171085 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5902&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]491480.833333333[/C][C]28234.0649822912[/C][C]49143[/C][/ROW]
[ROW][C]2[/C][C]538140.5[/C][C]30455.5634072750[/C][C]105109[/C][/ROW]
[ROW][C]3[/C][C]576612.083333333[/C][C]29164.6853090213[/C][C]142174[/C][/ROW]
[ROW][C]4[/C][C]596397.416666667[/C][C]21872.3045735026[/C][C]167633[/C][/ROW]
[ROW][C]5[/C][C]588261.166666667[/C][C]22629.6202869896[/C][C]171085[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5902&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5902&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
1491480.83333333328234.064982291249143
2538140.530455.5634072750105109
3576612.08333333329164.6853090213142174
4596397.41666666721872.3045735026167633
5588261.16666666722629.6202869896171085






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha58910.233630586
beta-0.0581158029740492
S.D.0.0401981373160188
T-STAT-1.44573372933104
p-value0.244021254568951

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 58910.233630586 \tabularnewline
beta & -0.0581158029740492 \tabularnewline
S.D. & 0.0401981373160188 \tabularnewline
T-STAT & -1.44573372933104 \tabularnewline
p-value & 0.244021254568951 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5902&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]58910.233630586[/C][/ROW]
[ROW][C]beta[/C][C]-0.0581158029740492[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0401981373160188[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.44573372933104[/C][/ROW]
[ROW][C]p-value[/C][C]0.244021254568951[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5902&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5902&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)
alpha58910.233630586
beta-0.0581158029740492
S.D.0.0401981373160188
T-STAT-1.44573372933104
p-value0.244021254568951






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha26.2215062493803
beta-1.21292581496205
S.D.0.852173523119417
T-STAT-1.42333196474128
p-value0.249814831340104
Lambda2.21292581496205

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 26.2215062493803 \tabularnewline
beta & -1.21292581496205 \tabularnewline
S.D. & 0.852173523119417 \tabularnewline
T-STAT & -1.42333196474128 \tabularnewline
p-value & 0.249814831340104 \tabularnewline
Lambda & 2.21292581496205 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5902&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]26.2215062493803[/C][/ROW]
[ROW][C]beta[/C][C]-1.21292581496205[/C][/ROW]
[ROW][C]S.D.[/C][C]0.852173523119417[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.42333196474128[/C][/ROW]
[ROW][C]p-value[/C][C]0.249814831340104[/C][/ROW]
[ROW][C]Lambda[/C][C]2.21292581496205[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5902&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5902&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)
alpha26.2215062493803
beta-1.21292581496205
S.D.0.852173523119417
T-STAT-1.42333196474128
p-value0.249814831340104
Lambda2.21292581496205


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')