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Description of Statistical Computation

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 computationTue, 02 Dec 2008 15:32:18 -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/02/t1228257191cstfcq9noqbzpi8.htm/, Retrieved Mon, 27 May 2024 21:59:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=28516, Retrieved Mon, 27 May 2024 21:59:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsJonas Scheltjens
Estimated Impact135

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [(Partial) Autocorrelation Function] [Non Stationary Ti...] [2008-12-02 22:32:18] [f4960a11bac8b7f1cb71c83b5826d5bd] [Current]
Feedback Forum
2008-12-09 20:20:29 [Gert-Jan Geudens] [reply] 
Ok, al zijn we het hier niet helemaal eens met de student. We vinden dat er hier niet echt sprake is van seizonaliteit. De autocorrelatiecoëfficiënten geven wel een licht patroon bij 6 en 12 maar deze zijn nog verre van significant. Deze kunnen misschien nog wel significant worden naarmate we vorderen in de tijd, maar dat kunnen we niet zien. Om echt zeker te zijn, zouden we het aantal lags kunnen verhogen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101,2
100,5
98
106,6
90,1
96,9
125,9
112
100
123,9
79,8
83,4
113,6
112,9
104
109,9
99
106,3
128,9
111,1
102,9
130
87
87,5
117,6
103,4
110,8
112,6
102,5
112,4
135,6
105,1
127,7
137
91
90,5
122,4
123,3
124,3
120
118,1
119
142,7
123,6
129,6
151,6
110,4
99,2
130,5
136,2
129,7
128
121,6
135,8
143,8
147,5
136,2
156,6
123,3
100,4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28516&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28516&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28516&T=0

As an alternative you can also use a QR Code:  
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'Gwilym Jenkins' @ 72.249.127.135






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.111277-0.7710.222257
20.1201470.83240.204653
30.185821.28740.102065
4-2.7e-05-2e-040.499926
50.1983851.37450.087842
60.2360951.63570.05422
7-0.101071-0.70020.243579
80.134930.93480.177279
90.0673960.46690.321329
100.1197430.82960.205435
110.009060.06280.475104
12-0.150642-1.04370.150931
13-0.061946-0.42920.334859
14-0.12273-0.85030.199691
15-0.039716-0.27520.392188
160.0179350.12430.450815
17-0.031103-0.21550.415151

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.111277 & -0.771 & 0.222257 \tabularnewline
2 & 0.120147 & 0.8324 & 0.204653 \tabularnewline
3 & 0.18582 & 1.2874 & 0.102065 \tabularnewline
4 & -2.7e-05 & -2e-04 & 0.499926 \tabularnewline
5 & 0.198385 & 1.3745 & 0.087842 \tabularnewline
6 & 0.236095 & 1.6357 & 0.05422 \tabularnewline
7 & -0.101071 & -0.7002 & 0.243579 \tabularnewline
8 & 0.13493 & 0.9348 & 0.177279 \tabularnewline
9 & 0.067396 & 0.4669 & 0.321329 \tabularnewline
10 & 0.119743 & 0.8296 & 0.205435 \tabularnewline
11 & 0.00906 & 0.0628 & 0.475104 \tabularnewline
12 & -0.150642 & -1.0437 & 0.150931 \tabularnewline
13 & -0.061946 & -0.4292 & 0.334859 \tabularnewline
14 & -0.12273 & -0.8503 & 0.199691 \tabularnewline
15 & -0.039716 & -0.2752 & 0.392188 \tabularnewline
16 & 0.017935 & 0.1243 & 0.450815 \tabularnewline
17 & -0.031103 & -0.2155 & 0.415151 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28516&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]-0.111277[/C][C]-0.771[/C][C]0.222257[/C][/ROW]
[ROW][C]2[/C][C]0.120147[/C][C]0.8324[/C][C]0.204653[/C][/ROW]
[ROW][C]3[/C][C]0.18582[/C][C]1.2874[/C][C]0.102065[/C][/ROW]
[ROW][C]4[/C][C]-2.7e-05[/C][C]-2e-04[/C][C]0.499926[/C][/ROW]
[ROW][C]5[/C][C]0.198385[/C][C]1.3745[/C][C]0.087842[/C][/ROW]
[ROW][C]6[/C][C]0.236095[/C][C]1.6357[/C][C]0.05422[/C][/ROW]
[ROW][C]7[/C][C]-0.101071[/C][C]-0.7002[/C][C]0.243579[/C][/ROW]
[ROW][C]8[/C][C]0.13493[/C][C]0.9348[/C][C]0.177279[/C][/ROW]
[ROW][C]9[/C][C]0.067396[/C][C]0.4669[/C][C]0.321329[/C][/ROW]
[ROW][C]10[/C][C]0.119743[/C][C]0.8296[/C][C]0.205435[/C][/ROW]
[ROW][C]11[/C][C]0.00906[/C][C]0.0628[/C][C]0.475104[/C][/ROW]
[ROW][C]12[/C][C]-0.150642[/C][C]-1.0437[/C][C]0.150931[/C][/ROW]
[ROW][C]13[/C][C]-0.061946[/C][C]-0.4292[/C][C]0.334859[/C][/ROW]
[ROW][C]14[/C][C]-0.12273[/C][C]-0.8503[/C][C]0.199691[/C][/ROW]
[ROW][C]15[/C][C]-0.039716[/C][C]-0.2752[/C][C]0.392188[/C][/ROW]
[ROW][C]16[/C][C]0.017935[/C][C]0.1243[/C][C]0.450815[/C][/ROW]
[ROW][C]17[/C][C]-0.031103[/C][C]-0.2155[/C][C]0.415151[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28516&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28516&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.111277-0.7710.222257
20.1201470.83240.204653
30.185821.28740.102065
4-2.7e-05-2e-040.499926
50.1983851.37450.087842
60.2360951.63570.05422
7-0.101071-0.70020.243579
80.134930.93480.177279
90.0673960.46690.321329
100.1197430.82960.205435
110.009060.06280.475104
12-0.150642-1.04370.150931
13-0.061946-0.42920.334859
14-0.12273-0.85030.199691
15-0.039716-0.27520.392188
160.0179350.12430.450815
17-0.031103-0.21550.415151






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.111277-0.7710.222257
20.1091150.7560.22668
30.2150641.490.071382
40.0333240.23090.409197
50.163851.13520.130966
60.2627481.82040.03747
7-0.088426-0.61260.271505
8-0.012193-0.08450.466516
90.0203680.14110.444186
100.121830.84410.20141
11-0.09329-0.64630.260571
12-0.273207-1.89280.032209
13-0.166069-1.15060.127806
14-0.221287-1.53310.065906
15-0.129114-0.89450.187752
160.0090370.06260.475169
170.2053391.42260.080655

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.111277 & -0.771 & 0.222257 \tabularnewline
2 & 0.109115 & 0.756 & 0.22668 \tabularnewline
3 & 0.215064 & 1.49 & 0.071382 \tabularnewline
4 & 0.033324 & 0.2309 & 0.409197 \tabularnewline
5 & 0.16385 & 1.1352 & 0.130966 \tabularnewline
6 & 0.262748 & 1.8204 & 0.03747 \tabularnewline
7 & -0.088426 & -0.6126 & 0.271505 \tabularnewline
8 & -0.012193 & -0.0845 & 0.466516 \tabularnewline
9 & 0.020368 & 0.1411 & 0.444186 \tabularnewline
10 & 0.12183 & 0.8441 & 0.20141 \tabularnewline
11 & -0.09329 & -0.6463 & 0.260571 \tabularnewline
12 & -0.273207 & -1.8928 & 0.032209 \tabularnewline
13 & -0.166069 & -1.1506 & 0.127806 \tabularnewline
14 & -0.221287 & -1.5331 & 0.065906 \tabularnewline
15 & -0.129114 & -0.8945 & 0.187752 \tabularnewline
16 & 0.009037 & 0.0626 & 0.475169 \tabularnewline
17 & 0.205339 & 1.4226 & 0.080655 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28516&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]-0.111277[/C][C]-0.771[/C][C]0.222257[/C][/ROW]
[ROW][C]2[/C][C]0.109115[/C][C]0.756[/C][C]0.22668[/C][/ROW]
[ROW][C]3[/C][C]0.215064[/C][C]1.49[/C][C]0.071382[/C][/ROW]
[ROW][C]4[/C][C]0.033324[/C][C]0.2309[/C][C]0.409197[/C][/ROW]
[ROW][C]5[/C][C]0.16385[/C][C]1.1352[/C][C]0.130966[/C][/ROW]
[ROW][C]6[/C][C]0.262748[/C][C]1.8204[/C][C]0.03747[/C][/ROW]
[ROW][C]7[/C][C]-0.088426[/C][C]-0.6126[/C][C]0.271505[/C][/ROW]
[ROW][C]8[/C][C]-0.012193[/C][C]-0.0845[/C][C]0.466516[/C][/ROW]
[ROW][C]9[/C][C]0.020368[/C][C]0.1411[/C][C]0.444186[/C][/ROW]
[ROW][C]10[/C][C]0.12183[/C][C]0.8441[/C][C]0.20141[/C][/ROW]
[ROW][C]11[/C][C]-0.09329[/C][C]-0.6463[/C][C]0.260571[/C][/ROW]
[ROW][C]12[/C][C]-0.273207[/C][C]-1.8928[/C][C]0.032209[/C][/ROW]
[ROW][C]13[/C][C]-0.166069[/C][C]-1.1506[/C][C]0.127806[/C][/ROW]
[ROW][C]14[/C][C]-0.221287[/C][C]-1.5331[/C][C]0.065906[/C][/ROW]
[ROW][C]15[/C][C]-0.129114[/C][C]-0.8945[/C][C]0.187752[/C][/ROW]
[ROW][C]16[/C][C]0.009037[/C][C]0.0626[/C][C]0.475169[/C][/ROW]
[ROW][C]17[/C][C]0.205339[/C][C]1.4226[/C][C]0.080655[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28516&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28516&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.111277-0.7710.222257
20.1091150.7560.22668
30.2150641.490.071382
40.0333240.23090.409197
50.163851.13520.130966
60.2627481.82040.03747
7-0.088426-0.61260.271505
8-0.012193-0.08450.466516
90.0203680.14110.444186
100.121830.84410.20141
11-0.09329-0.64630.260571
12-0.273207-1.89280.032209
13-0.166069-1.15060.127806
14-0.221287-1.53310.065906
15-0.129114-0.89450.187752
160.0090370.06260.475169
170.2053391.42260.080655


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 12 ;
Parameters (R input):
par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 12 ;
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')