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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationSat, 18 Dec 2010 12:47:28 +0000
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/Dec/18/t1292676438ckunqwyrsj65t16.htm/, Retrieved Tue, 30 Apr 2024 04:34:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111916, Retrieved Tue, 30 Apr 2024 04:34:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [Spectraalanalyse ...] [2008-12-11 17:29:14] [12d343c4448a5f9e527bb31caeac580b]
- RMPD  [(Partial) Autocorrelation Function] [Paper PACF d=1] [2009-12-27 09:56:27] [83058a88a37d754675a5cd22dab372fc]
-   PD      [(Partial) Autocorrelation Function] [paper lambda 0] [2010-12-18 12:47:28] [912a7c71b856221ca57f8714938acfc7] [Current]
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Dataseries X:
 100.00 
 100.42 
 100.50 
 101.14 
 101.98 
 102.31 
 103.27 
 103.80 
 103.46 
 105.06 
 106.08 
 106.74 
 107.35 
 108.96 
 109.85 
 109.81 
 109.99 
 111.60 
 112.74 
 112.78 
 113.66 
 115.37 
 116.26 
 116.24 
 116.73 
 118.76 
 119.78 
 120.23 
 121.48 
 124.07 
 125.82
 126.92 
 128.48 
 131.44 
 133.51 
 134.58 
 136.68
 140.10 
 142.45 
 143.91
 146.19 
 149.84 
 152.31 
 153.62
 155.79
159.89 
 163.21 
 165.32
 167.68 
 171.79 
 175.38 
 177.81 
 181.09 
 186.48 
 191.07 
 194.23 
 197.82 
 204.41 
 209.26 
 212.24 
 214.88 
 218.87 
 219.86 
 219.75 
 220.89 
 224.02 
 222.27 
 217.27 
 213.23 
 212.44 
 207.87 
 199.46 
 198.19 
 199.77 
 200.10 
195,76
191,27
195,79
192,7




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=111916&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=111916&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111916&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







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9768538.68250
20.9516818.45870
30.9258418.22910
40.8979527.98120
50.8679517.71450
60.8365277.43520
70.8049857.15490
80.7720576.86220
90.7354696.5370
100.698276.20640
110.6607995.87330
120.6219825.52830
130.5814415.1681e-06
140.5409414.8084e-06
150.5007164.45051.4e-05
160.4594214.08345.3e-05
170.4168493.7050.000195
180.374783.33110.000659

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.976853 & 8.6825 & 0 \tabularnewline
2 & 0.951681 & 8.4587 & 0 \tabularnewline
3 & 0.925841 & 8.2291 & 0 \tabularnewline
4 & 0.897952 & 7.9812 & 0 \tabularnewline
5 & 0.867951 & 7.7145 & 0 \tabularnewline
6 & 0.836527 & 7.4352 & 0 \tabularnewline
7 & 0.804985 & 7.1549 & 0 \tabularnewline
8 & 0.772057 & 6.8622 & 0 \tabularnewline
9 & 0.735469 & 6.537 & 0 \tabularnewline
10 & 0.69827 & 6.2064 & 0 \tabularnewline
11 & 0.660799 & 5.8733 & 0 \tabularnewline
12 & 0.621982 & 5.5283 & 0 \tabularnewline
13 & 0.581441 & 5.168 & 1e-06 \tabularnewline
14 & 0.540941 & 4.808 & 4e-06 \tabularnewline
15 & 0.500716 & 4.4505 & 1.4e-05 \tabularnewline
16 & 0.459421 & 4.0834 & 5.3e-05 \tabularnewline
17 & 0.416849 & 3.705 & 0.000195 \tabularnewline
18 & 0.37478 & 3.3311 & 0.000659 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111916&T=1

[TABLE]
[ROW][C]Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]ACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.976853[/C][C]8.6825[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.951681[/C][C]8.4587[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.925841[/C][C]8.2291[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.897952[/C][C]7.9812[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.867951[/C][C]7.7145[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.836527[/C][C]7.4352[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.804985[/C][C]7.1549[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.772057[/C][C]6.8622[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.735469[/C][C]6.537[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.69827[/C][C]6.2064[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.660799[/C][C]5.8733[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.621982[/C][C]5.5283[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.581441[/C][C]5.168[/C][C]1e-06[/C][/ROW]
[ROW][C]14[/C][C]0.540941[/C][C]4.808[/C][C]4e-06[/C][/ROW]
[ROW][C]15[/C][C]0.500716[/C][C]4.4505[/C][C]1.4e-05[/C][/ROW]
[ROW][C]16[/C][C]0.459421[/C][C]4.0834[/C][C]5.3e-05[/C][/ROW]
[ROW][C]17[/C][C]0.416849[/C][C]3.705[/C][C]0.000195[/C][/ROW]
[ROW][C]18[/C][C]0.37478[/C][C]3.3311[/C][C]0.000659[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111916&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111916&T=1

As an alternative you can also use a QR Code:  

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

Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9768538.68250
20.9516818.45870
30.9258418.22910
40.8979527.98120
50.8679517.71450
60.8365277.43520
70.8049857.15490
80.7720576.86220
90.7354696.5370
100.698276.20640
110.6607995.87330
120.6219825.52830
130.5814415.1681e-06
140.5409414.8084e-06
150.5007164.45051.4e-05
160.4594214.08345.3e-05
170.4168493.7050.000195
180.374783.33110.000659







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9768538.68250
2-0.055973-0.49750.310109
3-0.025626-0.22780.410209
4-0.057232-0.50870.306195
5-0.057359-0.50980.305799
6-0.043035-0.38250.351558
7-0.014925-0.13270.4474
8-0.04408-0.39180.348132
9-0.093659-0.83250.203831
10-0.027159-0.24140.404939
11-0.024145-0.21460.415313
12-0.045101-0.40090.344801
13-0.05373-0.47760.317139
14-0.018882-0.16780.433576
15-0.018506-0.16450.434883
16-0.044514-0.39560.346716
17-0.04788-0.42560.335791
18-0.016705-0.14850.441172

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.976853 & 8.6825 & 0 \tabularnewline
2 & -0.055973 & -0.4975 & 0.310109 \tabularnewline
3 & -0.025626 & -0.2278 & 0.410209 \tabularnewline
4 & -0.057232 & -0.5087 & 0.306195 \tabularnewline
5 & -0.057359 & -0.5098 & 0.305799 \tabularnewline
6 & -0.043035 & -0.3825 & 0.351558 \tabularnewline
7 & -0.014925 & -0.1327 & 0.4474 \tabularnewline
8 & -0.04408 & -0.3918 & 0.348132 \tabularnewline
9 & -0.093659 & -0.8325 & 0.203831 \tabularnewline
10 & -0.027159 & -0.2414 & 0.404939 \tabularnewline
11 & -0.024145 & -0.2146 & 0.415313 \tabularnewline
12 & -0.045101 & -0.4009 & 0.344801 \tabularnewline
13 & -0.05373 & -0.4776 & 0.317139 \tabularnewline
14 & -0.018882 & -0.1678 & 0.433576 \tabularnewline
15 & -0.018506 & -0.1645 & 0.434883 \tabularnewline
16 & -0.044514 & -0.3956 & 0.346716 \tabularnewline
17 & -0.04788 & -0.4256 & 0.335791 \tabularnewline
18 & -0.016705 & -0.1485 & 0.441172 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111916&T=2

[TABLE]
[ROW][C]Partial Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]PACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.976853[/C][C]8.6825[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.055973[/C][C]-0.4975[/C][C]0.310109[/C][/ROW]
[ROW][C]3[/C][C]-0.025626[/C][C]-0.2278[/C][C]0.410209[/C][/ROW]
[ROW][C]4[/C][C]-0.057232[/C][C]-0.5087[/C][C]0.306195[/C][/ROW]
[ROW][C]5[/C][C]-0.057359[/C][C]-0.5098[/C][C]0.305799[/C][/ROW]
[ROW][C]6[/C][C]-0.043035[/C][C]-0.3825[/C][C]0.351558[/C][/ROW]
[ROW][C]7[/C][C]-0.014925[/C][C]-0.1327[/C][C]0.4474[/C][/ROW]
[ROW][C]8[/C][C]-0.04408[/C][C]-0.3918[/C][C]0.348132[/C][/ROW]
[ROW][C]9[/C][C]-0.093659[/C][C]-0.8325[/C][C]0.203831[/C][/ROW]
[ROW][C]10[/C][C]-0.027159[/C][C]-0.2414[/C][C]0.404939[/C][/ROW]
[ROW][C]11[/C][C]-0.024145[/C][C]-0.2146[/C][C]0.415313[/C][/ROW]
[ROW][C]12[/C][C]-0.045101[/C][C]-0.4009[/C][C]0.344801[/C][/ROW]
[ROW][C]13[/C][C]-0.05373[/C][C]-0.4776[/C][C]0.317139[/C][/ROW]
[ROW][C]14[/C][C]-0.018882[/C][C]-0.1678[/C][C]0.433576[/C][/ROW]
[ROW][C]15[/C][C]-0.018506[/C][C]-0.1645[/C][C]0.434883[/C][/ROW]
[ROW][C]16[/C][C]-0.044514[/C][C]-0.3956[/C][C]0.346716[/C][/ROW]
[ROW][C]17[/C][C]-0.04788[/C][C]-0.4256[/C][C]0.335791[/C][/ROW]
[ROW][C]18[/C][C]-0.016705[/C][C]-0.1485[/C][C]0.441172[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111916&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111916&T=2

As an alternative you can also use a QR Code:  

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

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9768538.68250
2-0.055973-0.49750.310109
3-0.025626-0.22780.410209
4-0.057232-0.50870.306195
5-0.057359-0.50980.305799
6-0.043035-0.38250.351558
7-0.014925-0.13270.4474
8-0.04408-0.39180.348132
9-0.093659-0.83250.203831
10-0.027159-0.24140.404939
11-0.024145-0.21460.415313
12-0.045101-0.40090.344801
13-0.05373-0.47760.317139
14-0.018882-0.16780.433576
15-0.018506-0.16450.434883
16-0.044514-0.39560.346716
17-0.04788-0.42560.335791
18-0.016705-0.14850.441172



Parameters (Session):
par1 = Default ; par2 = -1.0 ; par3 = 0 ; par4 = 0 ; par5 = 4 ; par6 = White Noise ; par7 = 0.98 ;
Parameters (R input):
par1 = Default ; par2 = -1.0 ; par3 = 0 ; par4 = 0 ; par5 = 4 ; par6 = White Noise ; par7 = 0.98 ; par8 = ;
R code (references can be found in the software module):
if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
par7 <- as.numeric(par7)
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep=''))
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
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,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')