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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, 29 Dec 2009 03:02:47 -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/2009/Dec/29/t1262081020xijavvhylo5jflg.htm/, Retrieved Fri, 03 May 2024 06:44:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71080, Retrieved Fri, 03 May 2024 06:44:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

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       [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:38:17] [b98453cac15ba1066b407e146608df68]
- R  D        [Spectral Analysis] [] [2009-11-27 22:16:41] [9b30bff5dd5a100f8196daf92e735633]
- RMPD            [Standard Deviation-Mean Plot] [] [2009-12-29 10:02:47] [54e293c1fb7c46e2abc5c1dda68d8adb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258
516922
507561
492622
490243
469357
477580
528379
533590
517945
506174
501866
516141
528222
532638
536322
536535
523597
536214
586570
596594
580523

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71080&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]3 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=71080&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71080&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
156139713330.418898144230648
2555527.58503.03751608818726
3570919.2536821.255250873874101
4603389.59934.0476644719218446
55844438047.1538239719717765
6596525.7532834.538465615761428
7608223.515304.256499418732828
85843718914.7725714120219203
9597773.2528881.795285554353034
10582639.2527948.325881586162642
11541755.515885.543333484134657
12532413.2532445.343326636865929
13523207.7514305.315897129531811
1450183712644.609681599526679
15502226.533443.865311892464233
16510531.57756.8285830400216079
17533429.253905.347391718188313
18560743.7536211.532623139172997

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 561397 & 13330.4188981442 & 30648 \tabularnewline
2 & 555527.5 & 8503.037516088 & 18726 \tabularnewline
3 & 570919.25 & 36821.2552508738 & 74101 \tabularnewline
4 & 603389.5 & 9934.04766447192 & 18446 \tabularnewline
5 & 584443 & 8047.15382397197 & 17765 \tabularnewline
6 & 596525.75 & 32834.5384656157 & 61428 \tabularnewline
7 & 608223.5 & 15304.2564994187 & 32828 \tabularnewline
8 & 584371 & 8914.77257141202 & 19203 \tabularnewline
9 & 597773.25 & 28881.7952855543 & 53034 \tabularnewline
10 & 582639.25 & 27948.3258815861 & 62642 \tabularnewline
11 & 541755.5 & 15885.5433334841 & 34657 \tabularnewline
12 & 532413.25 & 32445.3433266368 & 65929 \tabularnewline
13 & 523207.75 & 14305.3158971295 & 31811 \tabularnewline
14 & 501837 & 12644.6096815995 & 26679 \tabularnewline
15 & 502226.5 & 33443.8653118924 & 64233 \tabularnewline
16 & 510531.5 & 7756.82858304002 & 16079 \tabularnewline
17 & 533429.25 & 3905.34739171818 & 8313 \tabularnewline
18 & 560743.75 & 36211.5326231391 & 72997 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71080&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]561397[/C][C]13330.4188981442[/C][C]30648[/C][/ROW]
[ROW][C]2[/C][C]555527.5[/C][C]8503.037516088[/C][C]18726[/C][/ROW]
[ROW][C]3[/C][C]570919.25[/C][C]36821.2552508738[/C][C]74101[/C][/ROW]
[ROW][C]4[/C][C]603389.5[/C][C]9934.04766447192[/C][C]18446[/C][/ROW]
[ROW][C]5[/C][C]584443[/C][C]8047.15382397197[/C][C]17765[/C][/ROW]
[ROW][C]6[/C][C]596525.75[/C][C]32834.5384656157[/C][C]61428[/C][/ROW]
[ROW][C]7[/C][C]608223.5[/C][C]15304.2564994187[/C][C]32828[/C][/ROW]
[ROW][C]8[/C][C]584371[/C][C]8914.77257141202[/C][C]19203[/C][/ROW]
[ROW][C]9[/C][C]597773.25[/C][C]28881.7952855543[/C][C]53034[/C][/ROW]
[ROW][C]10[/C][C]582639.25[/C][C]27948.3258815861[/C][C]62642[/C][/ROW]
[ROW][C]11[/C][C]541755.5[/C][C]15885.5433334841[/C][C]34657[/C][/ROW]
[ROW][C]12[/C][C]532413.25[/C][C]32445.3433266368[/C][C]65929[/C][/ROW]
[ROW][C]13[/C][C]523207.75[/C][C]14305.3158971295[/C][C]31811[/C][/ROW]
[ROW][C]14[/C][C]501837[/C][C]12644.6096815995[/C][C]26679[/C][/ROW]
[ROW][C]15[/C][C]502226.5[/C][C]33443.8653118924[/C][C]64233[/C][/ROW]
[ROW][C]16[/C][C]510531.5[/C][C]7756.82858304002[/C][C]16079[/C][/ROW]
[ROW][C]17[/C][C]533429.25[/C][C]3905.34739171818[/C][C]8313[/C][/ROW]
[ROW][C]18[/C][C]560743.75[/C][C]36211.5326231391[/C][C]72997[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71080&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71080&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
156139713330.418898144230648
2555527.58503.03751608818726
3570919.2536821.255250873874101
4603389.59934.0476644719218446
55844438047.1538239719717765
6596525.7532834.538465615761428
7608223.515304.256499418732828
85843718914.7725714120219203
9597773.2528881.795285554353034
10582639.2527948.325881586162642
11541755.515885.543333484134657
12532413.2532445.343326636865929
13523207.7514305.315897129531811
1450183712644.609681599526679
15502226.533443.865311892464233
16510531.57756.8285830400216079
17533429.253905.347391718188313
18560743.7536211.532623139172997






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3353.03893980560
beta0.0285298181075092
S.D.0.081473669766003
T-STAT0.350172248156348
p-value0.730776681569843

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3353.03893980560 \tabularnewline
beta & 0.0285298181075092 \tabularnewline
S.D. & 0.081473669766003 \tabularnewline
T-STAT & 0.350172248156348 \tabularnewline
p-value & 0.730776681569843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71080&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3353.03893980560[/C][/ROW]
[ROW][C]beta[/C][C]0.0285298181075092[/C][/ROW]
[ROW][C]S.D.[/C][C]0.081473669766003[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.350172248156348[/C][/ROW]
[ROW][C]p-value[/C][C]0.730776681569843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71080&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71080&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)
alpha3353.03893980560
beta0.0285298181075092
S.D.0.081473669766003
T-STAT0.350172248156348
p-value0.730776681569843






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.99837050855294
beta1.26001761498025
S.D.2.61219401217467
T-STAT0.482359889467505
p-value0.636082920764745
Lambda-0.260017614980252

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.99837050855294 \tabularnewline
beta & 1.26001761498025 \tabularnewline
S.D. & 2.61219401217467 \tabularnewline
T-STAT & 0.482359889467505 \tabularnewline
p-value & 0.636082920764745 \tabularnewline
Lambda & -0.260017614980252 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71080&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.99837050855294[/C][/ROW]
[ROW][C]beta[/C][C]1.26001761498025[/C][/ROW]
[ROW][C]S.D.[/C][C]2.61219401217467[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.482359889467505[/C][/ROW]
[ROW][C]p-value[/C][C]0.636082920764745[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.260017614980252[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71080&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71080&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-6.99837050855294
beta1.26001761498025
S.D.2.61219401217467
T-STAT0.482359889467505
p-value0.636082920764745
Lambda-0.260017614980252


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')