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Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSat, 13 Dec 2008 16:50:02 -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/2008/Dec/14/t1229213316gtrwrh21rk3nz2f.htm/, Retrieved Wed, 15 May 2024 22:51:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33234, Retrieved Wed, 15 May 2024 22:51:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact217
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:40:39] [b98453cac15ba1066b407e146608df68]
F       [Law of Averages] [WS7 Task 4] [2008-11-30 15:52:14] [11ac052cc87d77b9933b02bea117068e]
- RMPD    [Standard Deviation-Mean Plot] [WS7 Task 5 Correc...] [2008-12-02 17:34:41] [11ac052cc87d77b9933b02bea117068e]
-    D      [Standard Deviation-Mean Plot] [VS STDPLOT] [2008-12-13 22:46:20] [c4e82a203a5642d47e013a6c97b9cd86]
-    D        [Standard Deviation-Mean Plot] [Daw Jones in de VS] [2008-12-13 23:26:13] [c4e82a203a5642d47e013a6c97b9cd86]
- RM D            [Variance Reduction Matrix] [VS] [2008-12-13 23:50:02] [40e4ecc26f5b6a1a04324e2dfea518f7] [Current]
- RMPD              [] [Beurskoers Amerika] [-0001-11-30 00:00:00] [74be16979710d4c4e7c6647856088456]
- RMPD              [] [Beurskoers Japan] [-0001-11-30 00:00:00] [74be16979710d4c4e7c6647856088456]
- RMPD              [Spectral Analysis] [Beurskoers Japan] [2008-12-14 17:01:36] [74be16979710d4c4e7c6647856088456]
- RMP               [Spectral Analysis] [Beurskoers Amerika] [2008-12-14 17:01:40] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
358.59
362.96
362.42
364.97
364.04
361.06
358.48
352.96
359.59
360.39
357.40
362.93
364.55
365.73
364.70
364.65
359.43
362.14
356.97
354.82
353.17
357.06
356.18
355.01
355.65
357.31
357.07
357.91
358.48
358.97
351.77
352.16
359.08
360.35
359.53
359.30
358.41
359.68
355.31
357.08
349.71
354.13
345.49
341.69
344.25
340.17
342.47
344.43
333.23
339.72
342.61
346.36
339.09
339.73
341.12
335.94
333.46
335.66
341.12
342.21
342.62
346.06
344.43
346.65
343.74
335.67
342.75
341.77
345.84
346.52
350.79
345.44
345.87
338.48
337.21
340.81
339.86
342.86
343.33
341.73
351.38
351.13
345.99
347.55
346.02
345.29
347.03
348.01
345.48
349.40
351.05
349.70
350.86
354.45
355.30
357.48
355.24
351.79
355.22
351.02
350.28
350.17
348.16
340.30
343.75
344.71
344.13
342.14
345.04
346.02
346.43
347.07
339.33
339.10
337.19
339.58
327.85
326.81
321.73
320.45
327.69
323.95
320.47
322.13
316.34
314.78
308.90
308.62
314.41
306.88
310.60
321.60
321.50
325.68
324.35
320.01
326.88
332.39
331.48
332.62
324.79
327.12
328.91
328.37
324.83
325.90
326.18
328.94
333.78
328.06
325.87
325.41
318.86
319.13
310.16
311.73
306.54
311.16
311.98
306.72
308.05
300.76
301.90
293.09
292.76
294.58
289.90
296.69
297.21
293.31
296.25
298.60
296.87
301.02
304.73
301.92
295.72
293.18
298.35
297.99
299.85
299.85
304.45
299.45
298.14
298.78
297.02
301.33
294.96
296.69
300.73
301.96
297.38
293.87
285.96
285.41
283.70
284.76
277.11
274.73
274.73
274.73
274.73
274.69
275.42
264.15
276.24
268.88
277.97
280.49
281.09
276.16
272.58
270.94
284.31
283.94
284.18
282.83
283.84
282.71
279.29
280.70
274.47
273.44
275.49
279.46
280.19
288.21
284.80
281.41
283.39
287.97
290.77
290.60
289.67
289.84
298.55
296.07
297.14
295.34
296.25
294.30
296.15
296.49
298.05
301.03
300.52
301.50
296.93
289.84
291.44
286.88
286.74
288.93
292.19
295.39
295.86
293.36
292.86
292.73
296.73
285.02
285.24
288.62
283.36
285.84
291.48
291.41
287.77
284.97
286.05
278.19
281.21
277.92
280.08
269.24
268.48
268.83
269.54
262.37
265.12
265.34
263.32
267.18
260.75
261.78
257.27
255.63
251.39
259.49
261.18
261.65
262.01
265.23
268.10
262.27
263.59
257.85
265.69
271.15
266.69
265.77
262.32
270.48
273.03
269.13
280.65
282.75
281.44
281.99
282.86
287.21
283.11
280.66
282.39
280.83
284.71
279.99
283.50
284.88
288.60
284.80
287.20
286.22
286.54
279.58
283.08
288.88
280.18
284.16
290.57
286.82
273.00
278.69
264.54
271.92
283.60
269.25
263.58
264.16
268.85
269.67
249.41
268.99
268.65
260.16
256.55
251.47
234.93
232.96
215.49
213.68
236.07
235.41
214.77
225.85
224.64
238.26
232.44
222.50
225.28
220.49
216.86
234.70
230.06
238.27
238.56
242.70
249.14
234.89
227.78
234.04
230.70
230.17
218.23
232.20
220.76
215.60
217.69
204.35
191.44
203.84
211.86
210.57
219.57
219.98
226.01
207.04
212.52
217.92
210.45
218.53
223.32
218.76
217.63




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33234&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33234&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33234&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Variance Reduction Matrix
V(Y[t],d=0,D=0)1747.79278660284Range174.29Trim Var.1296.84711607862
V(Y[t],d=1,D=0)30.698881003862Range43.03Trim Var.13.8642304316512
V(Y[t],d=2,D=0)75.4176260918108Range65.87Trim Var.36.2579218677569
V(Y[t],d=3,D=0)235.048631616995Range120.68Trim Var.116.145002485593
V(Y[t],d=0,D=1)193.760779842248Range89.58Trim Var.111.125534477350
V(Y[t],d=1,D=1)64.4941758674472Range59.59Trim Var.30.4759827751196
V(Y[t],d=2,D=1)161.659756756458Range100.91Trim Var.77.6693602535794
V(Y[t],d=3,D=1)504.669033730732Range168.71Trim Var.256.837557603196
V(Y[t],d=0,D=2)432.872367210607Range171.78Trim Var.232.869292070987
V(Y[t],d=1,D=2)186.962604207866Range104.5Trim Var.93.607952844611
V(Y[t],d=2,D=2)469.027781032756Range162.18Trim Var.231.086750491623
V(Y[t],d=3,D=2)1469.79729222841Range241.47Trim Var.773.269896440084

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1747.79278660284 & Range & 174.29 & Trim Var. & 1296.84711607862 \tabularnewline
V(Y[t],d=1,D=0) & 30.698881003862 & Range & 43.03 & Trim Var. & 13.8642304316512 \tabularnewline
V(Y[t],d=2,D=0) & 75.4176260918108 & Range & 65.87 & Trim Var. & 36.2579218677569 \tabularnewline
V(Y[t],d=3,D=0) & 235.048631616995 & Range & 120.68 & Trim Var. & 116.145002485593 \tabularnewline
V(Y[t],d=0,D=1) & 193.760779842248 & Range & 89.58 & Trim Var. & 111.125534477350 \tabularnewline
V(Y[t],d=1,D=1) & 64.4941758674472 & Range & 59.59 & Trim Var. & 30.4759827751196 \tabularnewline
V(Y[t],d=2,D=1) & 161.659756756458 & Range & 100.91 & Trim Var. & 77.6693602535794 \tabularnewline
V(Y[t],d=3,D=1) & 504.669033730732 & Range & 168.71 & Trim Var. & 256.837557603196 \tabularnewline
V(Y[t],d=0,D=2) & 432.872367210607 & Range & 171.78 & Trim Var. & 232.869292070987 \tabularnewline
V(Y[t],d=1,D=2) & 186.962604207866 & Range & 104.5 & Trim Var. & 93.607952844611 \tabularnewline
V(Y[t],d=2,D=2) & 469.027781032756 & Range & 162.18 & Trim Var. & 231.086750491623 \tabularnewline
V(Y[t],d=3,D=2) & 1469.79729222841 & Range & 241.47 & Trim Var. & 773.269896440084 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33234&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1747.79278660284[/C][C]Range[/C][C]174.29[/C][C]Trim Var.[/C][C]1296.84711607862[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]30.698881003862[/C][C]Range[/C][C]43.03[/C][C]Trim Var.[/C][C]13.8642304316512[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]75.4176260918108[/C][C]Range[/C][C]65.87[/C][C]Trim Var.[/C][C]36.2579218677569[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]235.048631616995[/C][C]Range[/C][C]120.68[/C][C]Trim Var.[/C][C]116.145002485593[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]193.760779842248[/C][C]Range[/C][C]89.58[/C][C]Trim Var.[/C][C]111.125534477350[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]64.4941758674472[/C][C]Range[/C][C]59.59[/C][C]Trim Var.[/C][C]30.4759827751196[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]161.659756756458[/C][C]Range[/C][C]100.91[/C][C]Trim Var.[/C][C]77.6693602535794[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]504.669033730732[/C][C]Range[/C][C]168.71[/C][C]Trim Var.[/C][C]256.837557603196[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]432.872367210607[/C][C]Range[/C][C]171.78[/C][C]Trim Var.[/C][C]232.869292070987[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]186.962604207866[/C][C]Range[/C][C]104.5[/C][C]Trim Var.[/C][C]93.607952844611[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]469.027781032756[/C][C]Range[/C][C]162.18[/C][C]Trim Var.[/C][C]231.086750491623[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1469.79729222841[/C][C]Range[/C][C]241.47[/C][C]Trim Var.[/C][C]773.269896440084[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33234&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33234&T=1

As an alternative you can also use a QR Code:  

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

Variance Reduction Matrix
V(Y[t],d=0,D=0)1747.79278660284Range174.29Trim Var.1296.84711607862
V(Y[t],d=1,D=0)30.698881003862Range43.03Trim Var.13.8642304316512
V(Y[t],d=2,D=0)75.4176260918108Range65.87Trim Var.36.2579218677569
V(Y[t],d=3,D=0)235.048631616995Range120.68Trim Var.116.145002485593
V(Y[t],d=0,D=1)193.760779842248Range89.58Trim Var.111.125534477350
V(Y[t],d=1,D=1)64.4941758674472Range59.59Trim Var.30.4759827751196
V(Y[t],d=2,D=1)161.659756756458Range100.91Trim Var.77.6693602535794
V(Y[t],d=3,D=1)504.669033730732Range168.71Trim Var.256.837557603196
V(Y[t],d=0,D=2)432.872367210607Range171.78Trim Var.232.869292070987
V(Y[t],d=1,D=2)186.962604207866Range104.5Trim Var.93.607952844611
V(Y[t],d=2,D=2)469.027781032756Range162.18Trim Var.231.086750491623
V(Y[t],d=3,D=2)1469.79729222841Range241.47Trim Var.773.269896440084



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)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(x,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')