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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, 23 Jan 2010 12:24:41 -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/23/t1264274723qz3smbm07nrty5c.htm/, Retrieved Sun, 05 May 2024 01:59:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72389, Retrieved Sun, 05 May 2024 01:59:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [VAC (Partiële) au...] [2008-12-14 13:47:12] [379d6c32f73e3218fd773d79e4063d07]
-    D  [(Partial) Autocorrelation Function] [VAC (Partiële) au...] [2008-12-14 14:18:58] [379d6c32f73e3218fd773d79e4063d07]
-   PD    [(Partial) Autocorrelation Function] [VAC (Partiële) au...] [2008-12-17 11:28:36] [379d6c32f73e3218fd773d79e4063d07]
-   PD      [(Partial) Autocorrelation Function] [VAC (Partiële) au...] [2008-12-23 15:39:24] [379d6c32f73e3218fd773d79e4063d07]
-  MP           [(Partial) Autocorrelation Function] [(Partial) Autocor...] [2010-01-23 19:24:41] [f32a893c5a60da9308cd5d37e6977c4f] [Current]
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Dataseries X:
188.5
188.6
191.9
193.5
194.9
194.9
196.2
196.2
198
198.6
201.3
203.5
204.1
204.8
206.5
207.8
208.6
209.7
210
211.7
212.4
213.7
214.8
216.4
217.5
218.6
220.4
221.8
222.5
223.4
225.5
226.5
227.8
228.5
229.1
229.9
230.8
231.9
236
237.5




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=72389&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=72389&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72389&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







Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.107749-0.67290.252491
2-0.005702-0.03560.485887
3-0.236765-1.47860.07364
40.0194630.12150.451941
5-0.222023-1.38650.08673
60.054550.34070.367592
7-0.08376-0.52310.301939
80.2192681.36930.089366
9-0.004539-0.02830.488766
10-0.246659-1.54040.065771
110.1135030.70880.241325
120.0872210.54470.294532
130.0717410.4480.328308
14-0.150822-0.94190.176026
150.1182820.73870.232265
160.0010.00620.497524
170.0735590.45940.324258
18-0.160495-1.00230.161191
190.0907220.56660.28713
20-0.069434-0.43360.333478
21-0.014082-0.08790.465187
22-0.042648-0.26630.395692
23-0.055949-0.34940.364334
240.1023660.63930.263191

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.107749 & -0.6729 & 0.252491 \tabularnewline
2 & -0.005702 & -0.0356 & 0.485887 \tabularnewline
3 & -0.236765 & -1.4786 & 0.07364 \tabularnewline
4 & 0.019463 & 0.1215 & 0.451941 \tabularnewline
5 & -0.222023 & -1.3865 & 0.08673 \tabularnewline
6 & 0.05455 & 0.3407 & 0.367592 \tabularnewline
7 & -0.08376 & -0.5231 & 0.301939 \tabularnewline
8 & 0.219268 & 1.3693 & 0.089366 \tabularnewline
9 & -0.004539 & -0.0283 & 0.488766 \tabularnewline
10 & -0.246659 & -1.5404 & 0.065771 \tabularnewline
11 & 0.113503 & 0.7088 & 0.241325 \tabularnewline
12 & 0.087221 & 0.5447 & 0.294532 \tabularnewline
13 & 0.071741 & 0.448 & 0.328308 \tabularnewline
14 & -0.150822 & -0.9419 & 0.176026 \tabularnewline
15 & 0.118282 & 0.7387 & 0.232265 \tabularnewline
16 & 0.001 & 0.0062 & 0.497524 \tabularnewline
17 & 0.073559 & 0.4594 & 0.324258 \tabularnewline
18 & -0.160495 & -1.0023 & 0.161191 \tabularnewline
19 & 0.090722 & 0.5666 & 0.28713 \tabularnewline
20 & -0.069434 & -0.4336 & 0.333478 \tabularnewline
21 & -0.014082 & -0.0879 & 0.465187 \tabularnewline
22 & -0.042648 & -0.2663 & 0.395692 \tabularnewline
23 & -0.055949 & -0.3494 & 0.364334 \tabularnewline
24 & 0.102366 & 0.6393 & 0.263191 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72389&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]-0.107749[/C][C]-0.6729[/C][C]0.252491[/C][/ROW]
[ROW][C]2[/C][C]-0.005702[/C][C]-0.0356[/C][C]0.485887[/C][/ROW]
[ROW][C]3[/C][C]-0.236765[/C][C]-1.4786[/C][C]0.07364[/C][/ROW]
[ROW][C]4[/C][C]0.019463[/C][C]0.1215[/C][C]0.451941[/C][/ROW]
[ROW][C]5[/C][C]-0.222023[/C][C]-1.3865[/C][C]0.08673[/C][/ROW]
[ROW][C]6[/C][C]0.05455[/C][C]0.3407[/C][C]0.367592[/C][/ROW]
[ROW][C]7[/C][C]-0.08376[/C][C]-0.5231[/C][C]0.301939[/C][/ROW]
[ROW][C]8[/C][C]0.219268[/C][C]1.3693[/C][C]0.089366[/C][/ROW]
[ROW][C]9[/C][C]-0.004539[/C][C]-0.0283[/C][C]0.488766[/C][/ROW]
[ROW][C]10[/C][C]-0.246659[/C][C]-1.5404[/C][C]0.065771[/C][/ROW]
[ROW][C]11[/C][C]0.113503[/C][C]0.7088[/C][C]0.241325[/C][/ROW]
[ROW][C]12[/C][C]0.087221[/C][C]0.5447[/C][C]0.294532[/C][/ROW]
[ROW][C]13[/C][C]0.071741[/C][C]0.448[/C][C]0.328308[/C][/ROW]
[ROW][C]14[/C][C]-0.150822[/C][C]-0.9419[/C][C]0.176026[/C][/ROW]
[ROW][C]15[/C][C]0.118282[/C][C]0.7387[/C][C]0.232265[/C][/ROW]
[ROW][C]16[/C][C]0.001[/C][C]0.0062[/C][C]0.497524[/C][/ROW]
[ROW][C]17[/C][C]0.073559[/C][C]0.4594[/C][C]0.324258[/C][/ROW]
[ROW][C]18[/C][C]-0.160495[/C][C]-1.0023[/C][C]0.161191[/C][/ROW]
[ROW][C]19[/C][C]0.090722[/C][C]0.5666[/C][C]0.28713[/C][/ROW]
[ROW][C]20[/C][C]-0.069434[/C][C]-0.4336[/C][C]0.333478[/C][/ROW]
[ROW][C]21[/C][C]-0.014082[/C][C]-0.0879[/C][C]0.465187[/C][/ROW]
[ROW][C]22[/C][C]-0.042648[/C][C]-0.2663[/C][C]0.395692[/C][/ROW]
[ROW][C]23[/C][C]-0.055949[/C][C]-0.3494[/C][C]0.364334[/C][/ROW]
[ROW][C]24[/C][C]0.102366[/C][C]0.6393[/C][C]0.263191[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72389&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72389&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
1-0.107749-0.67290.252491
2-0.005702-0.03560.485887
3-0.236765-1.47860.07364
40.0194630.12150.451941
5-0.222023-1.38650.08673
60.054550.34070.367592
7-0.08376-0.52310.301939
80.2192681.36930.089366
9-0.004539-0.02830.488766
10-0.246659-1.54040.065771
110.1135030.70880.241325
120.0872210.54470.294532
130.0717410.4480.328308
14-0.150822-0.94190.176026
150.1182820.73870.232265
160.0010.00620.497524
170.0735590.45940.324258
18-0.160495-1.00230.161191
190.0907220.56660.28713
20-0.069434-0.43360.333478
21-0.014082-0.08790.465187
22-0.042648-0.26630.395692
23-0.055949-0.34940.364334
240.1023660.63930.263191







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.107749-0.67290.252491
2-0.017515-0.10940.456729
3-0.242163-1.51230.069259
4-0.036385-0.22720.410718
5-0.253816-1.58510.060512
6-0.070684-0.44140.330672
7-0.141322-0.88260.191442
80.0835360.52170.302422
90.0018790.01170.495349
10-0.376858-2.35350.011867
110.1347250.84140.202639
120.0354950.22170.412865
130.0397680.24840.402583
14-0.136856-0.85470.198978
150.056120.35050.363937
160.1211050.75630.227007
17-0.004446-0.02780.488995
180.0573840.35840.361003
190.0342850.21410.415788
20-0.097691-0.61010.272674
21-0.004774-0.02980.488183
220.1081390.67530.251726
23-0.178873-1.11710.135401
24-0.018277-0.11410.454855

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.107749 & -0.6729 & 0.252491 \tabularnewline
2 & -0.017515 & -0.1094 & 0.456729 \tabularnewline
3 & -0.242163 & -1.5123 & 0.069259 \tabularnewline
4 & -0.036385 & -0.2272 & 0.410718 \tabularnewline
5 & -0.253816 & -1.5851 & 0.060512 \tabularnewline
6 & -0.070684 & -0.4414 & 0.330672 \tabularnewline
7 & -0.141322 & -0.8826 & 0.191442 \tabularnewline
8 & 0.083536 & 0.5217 & 0.302422 \tabularnewline
9 & 0.001879 & 0.0117 & 0.495349 \tabularnewline
10 & -0.376858 & -2.3535 & 0.011867 \tabularnewline
11 & 0.134725 & 0.8414 & 0.202639 \tabularnewline
12 & 0.035495 & 0.2217 & 0.412865 \tabularnewline
13 & 0.039768 & 0.2484 & 0.402583 \tabularnewline
14 & -0.136856 & -0.8547 & 0.198978 \tabularnewline
15 & 0.05612 & 0.3505 & 0.363937 \tabularnewline
16 & 0.121105 & 0.7563 & 0.227007 \tabularnewline
17 & -0.004446 & -0.0278 & 0.488995 \tabularnewline
18 & 0.057384 & 0.3584 & 0.361003 \tabularnewline
19 & 0.034285 & 0.2141 & 0.415788 \tabularnewline
20 & -0.097691 & -0.6101 & 0.272674 \tabularnewline
21 & -0.004774 & -0.0298 & 0.488183 \tabularnewline
22 & 0.108139 & 0.6753 & 0.251726 \tabularnewline
23 & -0.178873 & -1.1171 & 0.135401 \tabularnewline
24 & -0.018277 & -0.1141 & 0.454855 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72389&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]-0.107749[/C][C]-0.6729[/C][C]0.252491[/C][/ROW]
[ROW][C]2[/C][C]-0.017515[/C][C]-0.1094[/C][C]0.456729[/C][/ROW]
[ROW][C]3[/C][C]-0.242163[/C][C]-1.5123[/C][C]0.069259[/C][/ROW]
[ROW][C]4[/C][C]-0.036385[/C][C]-0.2272[/C][C]0.410718[/C][/ROW]
[ROW][C]5[/C][C]-0.253816[/C][C]-1.5851[/C][C]0.060512[/C][/ROW]
[ROW][C]6[/C][C]-0.070684[/C][C]-0.4414[/C][C]0.330672[/C][/ROW]
[ROW][C]7[/C][C]-0.141322[/C][C]-0.8826[/C][C]0.191442[/C][/ROW]
[ROW][C]8[/C][C]0.083536[/C][C]0.5217[/C][C]0.302422[/C][/ROW]
[ROW][C]9[/C][C]0.001879[/C][C]0.0117[/C][C]0.495349[/C][/ROW]
[ROW][C]10[/C][C]-0.376858[/C][C]-2.3535[/C][C]0.011867[/C][/ROW]
[ROW][C]11[/C][C]0.134725[/C][C]0.8414[/C][C]0.202639[/C][/ROW]
[ROW][C]12[/C][C]0.035495[/C][C]0.2217[/C][C]0.412865[/C][/ROW]
[ROW][C]13[/C][C]0.039768[/C][C]0.2484[/C][C]0.402583[/C][/ROW]
[ROW][C]14[/C][C]-0.136856[/C][C]-0.8547[/C][C]0.198978[/C][/ROW]
[ROW][C]15[/C][C]0.05612[/C][C]0.3505[/C][C]0.363937[/C][/ROW]
[ROW][C]16[/C][C]0.121105[/C][C]0.7563[/C][C]0.227007[/C][/ROW]
[ROW][C]17[/C][C]-0.004446[/C][C]-0.0278[/C][C]0.488995[/C][/ROW]
[ROW][C]18[/C][C]0.057384[/C][C]0.3584[/C][C]0.361003[/C][/ROW]
[ROW][C]19[/C][C]0.034285[/C][C]0.2141[/C][C]0.415788[/C][/ROW]
[ROW][C]20[/C][C]-0.097691[/C][C]-0.6101[/C][C]0.272674[/C][/ROW]
[ROW][C]21[/C][C]-0.004774[/C][C]-0.0298[/C][C]0.488183[/C][/ROW]
[ROW][C]22[/C][C]0.108139[/C][C]0.6753[/C][C]0.251726[/C][/ROW]
[ROW][C]23[/C][C]-0.178873[/C][C]-1.1171[/C][C]0.135401[/C][/ROW]
[ROW][C]24[/C][C]-0.018277[/C][C]-0.1141[/C][C]0.454855[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72389&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72389&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
1-0.107749-0.67290.252491
2-0.017515-0.10940.456729
3-0.242163-1.51230.069259
4-0.036385-0.22720.410718
5-0.253816-1.58510.060512
6-0.070684-0.44140.330672
7-0.141322-0.88260.191442
80.0835360.52170.302422
90.0018790.01170.495349
10-0.376858-2.35350.011867
110.1347250.84140.202639
120.0354950.22170.412865
130.0397680.24840.402583
14-0.136856-0.85470.198978
150.056120.35050.363937
160.1211050.75630.227007
17-0.004446-0.02780.488995
180.0573840.35840.361003
190.0342850.21410.415788
20-0.097691-0.61010.272674
21-0.004774-0.02980.488183
220.1081390.67530.251726
23-0.178873-1.11710.135401
24-0.018277-0.11410.454855



Parameters (Session):
par1 = 24 ; par2 = 1.1 ; par3 = 1 ; par4 = 0 ; par5 = 4 ; par6 = 1 ; par7 = 1 ;
Parameters (R input):
par1 = 24 ; par2 = 1.1 ; par3 = 1 ; par4 = 0 ; par5 = 4 ; par6 = 1 ; par7 = 1 ;
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 (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='lags',ylab='ACF')
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')