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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 06 Jan 2010 03:36:22 -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/2010/Jan/06/t12627743003sqe540yonmh8hp.htm/, Retrieved Sat, 04 May 2024 06:46:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71646, Retrieved Sat, 04 May 2024 06:46:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact160
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [maximuprijs 2006 ...] [2010-01-02 20:22:48] [ef87393097b01fda8ad7ae01bd2302b6]
- RMPD    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-01-06 10:36:22] [6d9057303e3cf902729f982e57bf5fa8] [Current]
- RMPD      [Classical Decomposition] [] [2011-05-17 14:59:21] [80b21141a30336c1c74d833296e8a067]
- RMPD      [Classical Decomposition] [] [2011-05-17 15:06:31] [80b21141a30336c1c74d833296e8a067]
- RMPD      [Exponential Smoothing] [] [2011-05-17 15:18:40] [80b21141a30336c1c74d833296e8a067]
- RMPD      [Exponential Smoothing] [] [2011-05-17 15:23:40] [80b21141a30336c1c74d833296e8a067]
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Dataseries X:
492865
480961
461935
456608
441977
439148
488180
520564
501492
485025
464196
460170
467037
460070
447988
442867
436087
431328
484015
509673
512927
502831
470984
471067
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
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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71646&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71646&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71646&T=0

As an alternative you can also use a 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' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1473092.2516823.531087438236257
2472467.2539157.866977786281416
3477720.7519229.942648120441322
4454490.511044.361170600424170
5465275.7537976.783059960978345
6489452.2521672.936385809241943
74705866662.3460332428414798
8488097.2538169.46639549370468
9515759.256190.4435153441713736
10513808.255028.6022826096210037
11539216.2541059.600415128378857
1256139713330.418898144230648
13555527.58503.03751608818726
14570919.2536821.255250873874101
15603389.59934.0476644719218446
165844438047.1538239719717765
17596525.7532834.538465615761428
18608223.515304.256499418732828
195843718914.7725714120219203
20597773.2528881.795285554353034
21582639.2527948.325881586162642
22541755.515885.543333484134657
23532413.2532445.343326636865929
24523207.7514305.315897129531811
2550183712644.609681599526679
26502226.533443.865311892464233
27510531.57756.8285830400216079
28533429.253905.347391718188313
29560743.7536211.532623139172997

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 473092.25 & 16823.5310874382 & 36257 \tabularnewline
2 & 472467.25 & 39157.8669777862 & 81416 \tabularnewline
3 & 477720.75 & 19229.9426481204 & 41322 \tabularnewline
4 & 454490.5 & 11044.3611706004 & 24170 \tabularnewline
5 & 465275.75 & 37976.7830599609 & 78345 \tabularnewline
6 & 489452.25 & 21672.9363858092 & 41943 \tabularnewline
7 & 470586 & 6662.34603324284 & 14798 \tabularnewline
8 & 488097.25 & 38169.466395493 & 70468 \tabularnewline
9 & 515759.25 & 6190.44351534417 & 13736 \tabularnewline
10 & 513808.25 & 5028.60228260962 & 10037 \tabularnewline
11 & 539216.25 & 41059.6004151283 & 78857 \tabularnewline
12 & 561397 & 13330.4188981442 & 30648 \tabularnewline
13 & 555527.5 & 8503.037516088 & 18726 \tabularnewline
14 & 570919.25 & 36821.2552508738 & 74101 \tabularnewline
15 & 603389.5 & 9934.04766447192 & 18446 \tabularnewline
16 & 584443 & 8047.15382397197 & 17765 \tabularnewline
17 & 596525.75 & 32834.5384656157 & 61428 \tabularnewline
18 & 608223.5 & 15304.2564994187 & 32828 \tabularnewline
19 & 584371 & 8914.77257141202 & 19203 \tabularnewline
20 & 597773.25 & 28881.7952855543 & 53034 \tabularnewline
21 & 582639.25 & 27948.3258815861 & 62642 \tabularnewline
22 & 541755.5 & 15885.5433334841 & 34657 \tabularnewline
23 & 532413.25 & 32445.3433266368 & 65929 \tabularnewline
24 & 523207.75 & 14305.3158971295 & 31811 \tabularnewline
25 & 501837 & 12644.6096815995 & 26679 \tabularnewline
26 & 502226.5 & 33443.8653118924 & 64233 \tabularnewline
27 & 510531.5 & 7756.82858304002 & 16079 \tabularnewline
28 & 533429.25 & 3905.34739171818 & 8313 \tabularnewline
29 & 560743.75 & 36211.5326231391 & 72997 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71646&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]473092.25[/C][C]16823.5310874382[/C][C]36257[/C][/ROW]
[ROW][C]2[/C][C]472467.25[/C][C]39157.8669777862[/C][C]81416[/C][/ROW]
[ROW][C]3[/C][C]477720.75[/C][C]19229.9426481204[/C][C]41322[/C][/ROW]
[ROW][C]4[/C][C]454490.5[/C][C]11044.3611706004[/C][C]24170[/C][/ROW]
[ROW][C]5[/C][C]465275.75[/C][C]37976.7830599609[/C][C]78345[/C][/ROW]
[ROW][C]6[/C][C]489452.25[/C][C]21672.9363858092[/C][C]41943[/C][/ROW]
[ROW][C]7[/C][C]470586[/C][C]6662.34603324284[/C][C]14798[/C][/ROW]
[ROW][C]8[/C][C]488097.25[/C][C]38169.466395493[/C][C]70468[/C][/ROW]
[ROW][C]9[/C][C]515759.25[/C][C]6190.44351534417[/C][C]13736[/C][/ROW]
[ROW][C]10[/C][C]513808.25[/C][C]5028.60228260962[/C][C]10037[/C][/ROW]
[ROW][C]11[/C][C]539216.25[/C][C]41059.6004151283[/C][C]78857[/C][/ROW]
[ROW][C]12[/C][C]561397[/C][C]13330.4188981442[/C][C]30648[/C][/ROW]
[ROW][C]13[/C][C]555527.5[/C][C]8503.037516088[/C][C]18726[/C][/ROW]
[ROW][C]14[/C][C]570919.25[/C][C]36821.2552508738[/C][C]74101[/C][/ROW]
[ROW][C]15[/C][C]603389.5[/C][C]9934.04766447192[/C][C]18446[/C][/ROW]
[ROW][C]16[/C][C]584443[/C][C]8047.15382397197[/C][C]17765[/C][/ROW]
[ROW][C]17[/C][C]596525.75[/C][C]32834.5384656157[/C][C]61428[/C][/ROW]
[ROW][C]18[/C][C]608223.5[/C][C]15304.2564994187[/C][C]32828[/C][/ROW]
[ROW][C]19[/C][C]584371[/C][C]8914.77257141202[/C][C]19203[/C][/ROW]
[ROW][C]20[/C][C]597773.25[/C][C]28881.7952855543[/C][C]53034[/C][/ROW]
[ROW][C]21[/C][C]582639.25[/C][C]27948.3258815861[/C][C]62642[/C][/ROW]
[ROW][C]22[/C][C]541755.5[/C][C]15885.5433334841[/C][C]34657[/C][/ROW]
[ROW][C]23[/C][C]532413.25[/C][C]32445.3433266368[/C][C]65929[/C][/ROW]
[ROW][C]24[/C][C]523207.75[/C][C]14305.3158971295[/C][C]31811[/C][/ROW]
[ROW][C]25[/C][C]501837[/C][C]12644.6096815995[/C][C]26679[/C][/ROW]
[ROW][C]26[/C][C]502226.5[/C][C]33443.8653118924[/C][C]64233[/C][/ROW]
[ROW][C]27[/C][C]510531.5[/C][C]7756.82858304002[/C][C]16079[/C][/ROW]
[ROW][C]28[/C][C]533429.25[/C][C]3905.34739171818[/C][C]8313[/C][/ROW]
[ROW][C]29[/C][C]560743.75[/C][C]36211.5326231391[/C][C]72997[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71646&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71646&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1473092.2516823.531087438236257
2472467.2539157.866977786281416
3477720.7519229.942648120441322
4454490.511044.361170600424170
5465275.7537976.783059960978345
6489452.2521672.936385809241943
74705866662.3460332428414798
8488097.2538169.46639549370468
9515759.256190.4435153441713736
10513808.255028.6022826096210037
11539216.2541059.600415128378857
1256139713330.418898144230648
13555527.58503.03751608818726
14570919.2536821.255250873874101
15603389.59934.0476644719218446
165844438047.1538239719717765
17596525.7532834.538465615761428
18608223.515304.256499418732828
195843718914.7725714120219203
20597773.2528881.795285554353034
21582639.2527948.325881586162642
22541755.515885.543333484134657
23532413.2532445.343326636865929
24523207.7514305.315897129531811
2550183712644.609681599526679
26502226.533443.865311892464233
27510531.57756.8285830400216079
28533429.253905.347391718188313
29560743.7536211.532623139172997







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha25054.0703777835
beta-0.00885285488965595
S.D.0.0512289035952744
T-STAT-0.17280976691589
p-value0.864089893961833

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 25054.0703777835 \tabularnewline
beta & -0.00885285488965595 \tabularnewline
S.D. & 0.0512289035952744 \tabularnewline
T-STAT & -0.17280976691589 \tabularnewline
p-value & 0.864089893961833 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71646&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]25054.0703777835[/C][/ROW]
[ROW][C]beta[/C][C]-0.00885285488965595[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0512289035952744[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.17280976691589[/C][/ROW]
[ROW][C]p-value[/C][C]0.864089893961833[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71646&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71646&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha25054.0703777835
beta-0.00885285488965595
S.D.0.0512289035952744
T-STAT-0.17280976691589
p-value0.864089893961833







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.6562547981189
beta-0.0724250671780966
S.D.1.53600897032217
T-STAT-0.0471514610770181
p-value0.962739555331872
Lambda1.07242506717810

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.6562547981189 \tabularnewline
beta & -0.0724250671780966 \tabularnewline
S.D. & 1.53600897032217 \tabularnewline
T-STAT & -0.0471514610770181 \tabularnewline
p-value & 0.962739555331872 \tabularnewline
Lambda & 1.07242506717810 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71646&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.6562547981189[/C][/ROW]
[ROW][C]beta[/C][C]-0.0724250671780966[/C][/ROW]
[ROW][C]S.D.[/C][C]1.53600897032217[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0471514610770181[/C][/ROW]
[ROW][C]p-value[/C][C]0.962739555331872[/C][/ROW]
[ROW][C]Lambda[/C][C]1.07242506717810[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71646&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71646&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.6562547981189
beta-0.0724250671780966
S.D.1.53600897032217
T-STAT-0.0471514610770181
p-value0.962739555331872
Lambda1.07242506717810



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')