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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 21 May 2009 08:09:07 -0600
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/May/21/t1242914972umfs2xphrsf8403.htm/, Retrieved Mon, 06 May 2024 21:09:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40268, Retrieved Mon, 06 May 2024 21:09:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bootstrap Plot - Central Tendency] [Opgave 7 oefening...] [2009-05-21 12:49:43] [98301858a407264bfb04a3efba7def1a]
- RMPD    [Standard Deviation-Mean Plot] [Opgave 8, oefenin...] [2009-05-21 14:09:07] [58dac46aef85915ed9cef356d57a9717] [Current]
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Dataseries X:
11310
64305
15310
37299
21302
61308
72300
26303
18301
54305
66309
50301
31298
52291
87286
81288
14293
90302
50306
15310
44310
26314
98313
76310
25313
48309
95307
10320
87327
63328
34333
90333
81332
7342
30424
13344
88347
40339
23330
1339
10341
46342
81342
2342
76350
35368
93367
88377
39376
41366
77375
56382
79397
26385
73397
28404
98413
73414
47423
52431
24441
92439
90441
441
13448
18458
18459
69477
41491
10492
73508
82515
13525
55533
19550
85558
57563
60570
49568
51570
26561
61558
78548
77537
539
18540
47542
86542
81544
16543
22538
25538
99527
63518
95508
65496
5488
96475
81465
5463
81458
74445
21434
67427
27418
81407
82395
97359




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40268&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40268&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40268&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13205624346.882634127952995
245303.2525311.69712965450998
34730420496.829380825448008
463040.7526102.066219298955988
542552.7535967.043520191376009
661311.7532186.653614761971999
744812.2537111.916768741584987
868830.2525979.690983214856000
933110.533601.887144424973990
1038338.7536964.262672433687008
1135091.7536289.573804560879000
1273365.526319.336244163457999
1353624.7517559.239075673737999
1451895.7528409.406815055753012
1567920.2523238.210019635050990
1651940.546657.753921508191998
1729960.526450.005904221156029
1852001.532797.928923434672023
1943541.533594.46724784772033
2054817.755122.907141783211002
216105124274.474618413551987
2238290.7537545.7743150586003
2336540.7530234.30739380965001
2481012.2519146.153075313436009
2547222.7548593.490279906291012
266119127116.578877137160024
2772144.7530697.977505312469941

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 32056 & 24346.8826341279 & 52995 \tabularnewline
2 & 45303.25 & 25311.697129654 & 50998 \tabularnewline
3 & 47304 & 20496.8293808254 & 48008 \tabularnewline
4 & 63040.75 & 26102.0662192989 & 55988 \tabularnewline
5 & 42552.75 & 35967.0435201913 & 76009 \tabularnewline
6 & 61311.75 & 32186.6536147619 & 71999 \tabularnewline
7 & 44812.25 & 37111.9167687415 & 84987 \tabularnewline
8 & 68830.25 & 25979.6909832148 & 56000 \tabularnewline
9 & 33110.5 & 33601.8871444249 & 73990 \tabularnewline
10 & 38338.75 & 36964.2626724336 & 87008 \tabularnewline
11 & 35091.75 & 36289.5738045608 & 79000 \tabularnewline
12 & 73365.5 & 26319.3362441634 & 57999 \tabularnewline
13 & 53624.75 & 17559.2390756737 & 37999 \tabularnewline
14 & 51895.75 & 28409.4068150557 & 53012 \tabularnewline
15 & 67920.25 & 23238.2100196350 & 50990 \tabularnewline
16 & 51940.5 & 46657.7539215081 & 91998 \tabularnewline
17 & 29960.5 & 26450.0059042211 & 56029 \tabularnewline
18 & 52001.5 & 32797.9289234346 & 72023 \tabularnewline
19 & 43541.5 & 33594.467247847 & 72033 \tabularnewline
20 & 54817.75 & 5122.9071417832 & 11002 \tabularnewline
21 & 61051 & 24274.4746184135 & 51987 \tabularnewline
22 & 38290.75 & 37545.77431505 & 86003 \tabularnewline
23 & 36540.75 & 30234.307393809 & 65001 \tabularnewline
24 & 81012.25 & 19146.1530753134 & 36009 \tabularnewline
25 & 47222.75 & 48593.4902799062 & 91012 \tabularnewline
26 & 61191 & 27116.5788771371 & 60024 \tabularnewline
27 & 72144.75 & 30697.9775053124 & 69941 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40268&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]32056[/C][C]24346.8826341279[/C][C]52995[/C][/ROW]
[ROW][C]2[/C][C]45303.25[/C][C]25311.697129654[/C][C]50998[/C][/ROW]
[ROW][C]3[/C][C]47304[/C][C]20496.8293808254[/C][C]48008[/C][/ROW]
[ROW][C]4[/C][C]63040.75[/C][C]26102.0662192989[/C][C]55988[/C][/ROW]
[ROW][C]5[/C][C]42552.75[/C][C]35967.0435201913[/C][C]76009[/C][/ROW]
[ROW][C]6[/C][C]61311.75[/C][C]32186.6536147619[/C][C]71999[/C][/ROW]
[ROW][C]7[/C][C]44812.25[/C][C]37111.9167687415[/C][C]84987[/C][/ROW]
[ROW][C]8[/C][C]68830.25[/C][C]25979.6909832148[/C][C]56000[/C][/ROW]
[ROW][C]9[/C][C]33110.5[/C][C]33601.8871444249[/C][C]73990[/C][/ROW]
[ROW][C]10[/C][C]38338.75[/C][C]36964.2626724336[/C][C]87008[/C][/ROW]
[ROW][C]11[/C][C]35091.75[/C][C]36289.5738045608[/C][C]79000[/C][/ROW]
[ROW][C]12[/C][C]73365.5[/C][C]26319.3362441634[/C][C]57999[/C][/ROW]
[ROW][C]13[/C][C]53624.75[/C][C]17559.2390756737[/C][C]37999[/C][/ROW]
[ROW][C]14[/C][C]51895.75[/C][C]28409.4068150557[/C][C]53012[/C][/ROW]
[ROW][C]15[/C][C]67920.25[/C][C]23238.2100196350[/C][C]50990[/C][/ROW]
[ROW][C]16[/C][C]51940.5[/C][C]46657.7539215081[/C][C]91998[/C][/ROW]
[ROW][C]17[/C][C]29960.5[/C][C]26450.0059042211[/C][C]56029[/C][/ROW]
[ROW][C]18[/C][C]52001.5[/C][C]32797.9289234346[/C][C]72023[/C][/ROW]
[ROW][C]19[/C][C]43541.5[/C][C]33594.467247847[/C][C]72033[/C][/ROW]
[ROW][C]20[/C][C]54817.75[/C][C]5122.9071417832[/C][C]11002[/C][/ROW]
[ROW][C]21[/C][C]61051[/C][C]24274.4746184135[/C][C]51987[/C][/ROW]
[ROW][C]22[/C][C]38290.75[/C][C]37545.77431505[/C][C]86003[/C][/ROW]
[ROW][C]23[/C][C]36540.75[/C][C]30234.307393809[/C][C]65001[/C][/ROW]
[ROW][C]24[/C][C]81012.25[/C][C]19146.1530753134[/C][C]36009[/C][/ROW]
[ROW][C]25[/C][C]47222.75[/C][C]48593.4902799062[/C][C]91012[/C][/ROW]
[ROW][C]26[/C][C]61191[/C][C]27116.5788771371[/C][C]60024[/C][/ROW]
[ROW][C]27[/C][C]72144.75[/C][C]30697.9775053124[/C][C]69941[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40268&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40268&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
13205624346.882634127952995
245303.2525311.69712965450998
34730420496.829380825448008
463040.7526102.066219298955988
542552.7535967.043520191376009
661311.7532186.653614761971999
744812.2537111.916768741584987
868830.2525979.690983214856000
933110.533601.887144424973990
1038338.7536964.262672433687008
1135091.7536289.573804560879000
1273365.526319.336244163457999
1353624.7517559.239075673737999
1451895.7528409.406815055753012
1567920.2523238.210019635050990
1651940.546657.753921508191998
1729960.526450.005904221156029
1852001.532797.928923434672023
1943541.533594.46724784772033
2054817.755122.907141783211002
216105124274.474618413551987
2238290.7537545.7743150586003
2336540.7530234.30739380965001
2481012.2519146.153075313436009
2547222.7548593.490279906291012
266119127116.578877137160024
2772144.7530697.977505312469941







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha40452.6766980363
beta-0.216171964428819
S.D.0.120212076624788
T-STAT-1.79825497153290
p-value0.0842240124420447

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 40452.6766980363 \tabularnewline
beta & -0.216171964428819 \tabularnewline
S.D. & 0.120212076624788 \tabularnewline
T-STAT & -1.79825497153290 \tabularnewline
p-value & 0.0842240124420447 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40268&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]40452.6766980363[/C][/ROW]
[ROW][C]beta[/C][C]-0.216171964428819[/C][/ROW]
[ROW][C]S.D.[/C][C]0.120212076624788[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.79825497153290[/C][/ROW]
[ROW][C]p-value[/C][C]0.0842240124420447[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40268&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40268&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)
alpha40452.6766980363
beta-0.216171964428819
S.D.0.120212076624788
T-STAT-1.79825497153290
p-value0.0842240124420447







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.5909495477718
beta-0.403984241737736
S.D.0.291322097284921
T-STAT-1.3867270814772
p-value0.177767154273889
Lambda1.40398424173774

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.5909495477718 \tabularnewline
beta & -0.403984241737736 \tabularnewline
S.D. & 0.291322097284921 \tabularnewline
T-STAT & -1.3867270814772 \tabularnewline
p-value & 0.177767154273889 \tabularnewline
Lambda & 1.40398424173774 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40268&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.5909495477718[/C][/ROW]
[ROW][C]beta[/C][C]-0.403984241737736[/C][/ROW]
[ROW][C]S.D.[/C][C]0.291322097284921[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.3867270814772[/C][/ROW]
[ROW][C]p-value[/C][C]0.177767154273889[/C][/ROW]
[ROW][C]Lambda[/C][C]1.40398424173774[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40268&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40268&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)
alpha14.5909495477718
beta-0.403984241737736
S.D.0.291322097284921
T-STAT-1.3867270814772
p-value0.177767154273889
Lambda1.40398424173774



Parameters (Session):
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')