How to interpret these acf and pacf plots?





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I don't know which model to fit to these ACF and PACF. Is it an AR(3) or something else?
This is the ACF plot that I am getting.



And here is the PACF plot.










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  • $begingroup$
    could you provide more background information on what you were doing to generate these?
    $endgroup$
    – ReneBt
    11 mins ago


















2












$begingroup$


I don't know which model to fit to these ACF and PACF. Is it an AR(3) or something else?
This is the ACF plot that I am getting.



And here is the PACF plot.










share|cite|improve this question









New contributor




Aim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    could you provide more background information on what you were doing to generate these?
    $endgroup$
    – ReneBt
    11 mins ago














2












2








2





$begingroup$


I don't know which model to fit to these ACF and PACF. Is it an AR(3) or something else?
This is the ACF plot that I am getting.



And here is the PACF plot.










share|cite|improve this question









New contributor




Aim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I don't know which model to fit to these ACF and PACF. Is it an AR(3) or something else?
This is the ACF plot that I am getting.



And here is the PACF plot.







time-series arima acf-pacf box-jenkins






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Aim is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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edited 39 mins ago









Stephan Kolassa

48.8k8102185




48.8k8102185






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asked 46 mins ago









AimAim

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  • $begingroup$
    could you provide more background information on what you were doing to generate these?
    $endgroup$
    – ReneBt
    11 mins ago


















  • $begingroup$
    could you provide more background information on what you were doing to generate these?
    $endgroup$
    – ReneBt
    11 mins ago
















$begingroup$
could you provide more background information on what you were doing to generate these?
$endgroup$
– ReneBt
11 mins ago




$begingroup$
could you provide more background information on what you were doing to generate these?
$endgroup$
– ReneBt
11 mins ago










2 Answers
2






active

oldest

votes


















1












$begingroup$

There are suspicious peaks at lag 12. I suspect you have monthly data, and these peaks come from yearly seasonality. Consider taking seasonal differences, then plotting the ACF and PACF plots for these differences. Here are some hints on using (P)ACF to determine ARIMA orders.



In general, the Box-Jenkins approach is outdated. Consider using a more modern approach like choosing models based on AIC, as implemented in auto.arima() in the forecast package for R.






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Thanks. Yes this is monthly data. I am trying to forecast for a time series!
    $endgroup$
    – Aim
    36 mins ago










  • $begingroup$
    I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
    $endgroup$
    – Stephan Kolassa
    35 mins ago



















1












$begingroup$

The ACF and the PACF are summary statistics and trying to parse the appropriate model is nigh impossible unless you restrict yourself to very simple (pure arima models) and even then it is a daunting task. Fitting a set of presumptive models using a list based approach seldomly is satisfactory except in the rare case of no katent deterministic structure..



Your data may need auto-regressive or moving-average structure along with regular differencing , seasonal differencing, and deterministic structure like level/step shifts , local time trends, pulses , seasonal pulses. Additionally there may be the need for the data to be partitioned due to changes in parameters over time or error variance changes over time or error variance-expected value linkages. Only your data knows for sure ... which is why I ask you to post your data and I will try and help further.



You might want to follow my guidance here Significant lags at ACF and PACF plots in GLM: what should I do? regarding the ways to match asc/pacf to simple arima models.



The more comprehensive/modern way to identify models is to integreate arima with deterministic structure as outlined here https://autobox.com/pdfs/ARIMA%20FLOW%20CHART.pdf reflecting an iterative approach not a one-step approach as is often suggested here.



If the data is deemed confidential simply scale it by subtracting a constant and dividing it by another constant






share|cite|improve this answer











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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    There are suspicious peaks at lag 12. I suspect you have monthly data, and these peaks come from yearly seasonality. Consider taking seasonal differences, then plotting the ACF and PACF plots for these differences. Here are some hints on using (P)ACF to determine ARIMA orders.



    In general, the Box-Jenkins approach is outdated. Consider using a more modern approach like choosing models based on AIC, as implemented in auto.arima() in the forecast package for R.






    share|cite|improve this answer









    $endgroup$













    • $begingroup$
      Thanks. Yes this is monthly data. I am trying to forecast for a time series!
      $endgroup$
      – Aim
      36 mins ago










    • $begingroup$
      I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
      $endgroup$
      – Stephan Kolassa
      35 mins ago
















    1












    $begingroup$

    There are suspicious peaks at lag 12. I suspect you have monthly data, and these peaks come from yearly seasonality. Consider taking seasonal differences, then plotting the ACF and PACF plots for these differences. Here are some hints on using (P)ACF to determine ARIMA orders.



    In general, the Box-Jenkins approach is outdated. Consider using a more modern approach like choosing models based on AIC, as implemented in auto.arima() in the forecast package for R.






    share|cite|improve this answer









    $endgroup$













    • $begingroup$
      Thanks. Yes this is monthly data. I am trying to forecast for a time series!
      $endgroup$
      – Aim
      36 mins ago










    • $begingroup$
      I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
      $endgroup$
      – Stephan Kolassa
      35 mins ago














    1












    1








    1





    $begingroup$

    There are suspicious peaks at lag 12. I suspect you have monthly data, and these peaks come from yearly seasonality. Consider taking seasonal differences, then plotting the ACF and PACF plots for these differences. Here are some hints on using (P)ACF to determine ARIMA orders.



    In general, the Box-Jenkins approach is outdated. Consider using a more modern approach like choosing models based on AIC, as implemented in auto.arima() in the forecast package for R.






    share|cite|improve this answer









    $endgroup$



    There are suspicious peaks at lag 12. I suspect you have monthly data, and these peaks come from yearly seasonality. Consider taking seasonal differences, then plotting the ACF and PACF plots for these differences. Here are some hints on using (P)ACF to determine ARIMA orders.



    In general, the Box-Jenkins approach is outdated. Consider using a more modern approach like choosing models based on AIC, as implemented in auto.arima() in the forecast package for R.







    share|cite|improve this answer












    share|cite|improve this answer



    share|cite|improve this answer










    answered 39 mins ago









    Stephan KolassaStephan Kolassa

    48.8k8102185




    48.8k8102185












    • $begingroup$
      Thanks. Yes this is monthly data. I am trying to forecast for a time series!
      $endgroup$
      – Aim
      36 mins ago










    • $begingroup$
      I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
      $endgroup$
      – Stephan Kolassa
      35 mins ago


















    • $begingroup$
      Thanks. Yes this is monthly data. I am trying to forecast for a time series!
      $endgroup$
      – Aim
      36 mins ago










    • $begingroup$
      I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
      $endgroup$
      – Stephan Kolassa
      35 mins ago
















    $begingroup$
    Thanks. Yes this is monthly data. I am trying to forecast for a time series!
    $endgroup$
    – Aim
    36 mins ago




    $begingroup$
    Thanks. Yes this is monthly data. I am trying to forecast for a time series!
    $endgroup$
    – Aim
    36 mins ago












    $begingroup$
    I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
    $endgroup$
    – Stephan Kolassa
    35 mins ago




    $begingroup$
    I recommend the excellent free online book Forecasting: Principles and Practice (2nd ed.) by Athanasopoulos & Hyndman.
    $endgroup$
    – Stephan Kolassa
    35 mins ago













    1












    $begingroup$

    The ACF and the PACF are summary statistics and trying to parse the appropriate model is nigh impossible unless you restrict yourself to very simple (pure arima models) and even then it is a daunting task. Fitting a set of presumptive models using a list based approach seldomly is satisfactory except in the rare case of no katent deterministic structure..



    Your data may need auto-regressive or moving-average structure along with regular differencing , seasonal differencing, and deterministic structure like level/step shifts , local time trends, pulses , seasonal pulses. Additionally there may be the need for the data to be partitioned due to changes in parameters over time or error variance changes over time or error variance-expected value linkages. Only your data knows for sure ... which is why I ask you to post your data and I will try and help further.



    You might want to follow my guidance here Significant lags at ACF and PACF plots in GLM: what should I do? regarding the ways to match asc/pacf to simple arima models.



    The more comprehensive/modern way to identify models is to integreate arima with deterministic structure as outlined here https://autobox.com/pdfs/ARIMA%20FLOW%20CHART.pdf reflecting an iterative approach not a one-step approach as is often suggested here.



    If the data is deemed confidential simply scale it by subtracting a constant and dividing it by another constant






    share|cite|improve this answer











    $endgroup$


















      1












      $begingroup$

      The ACF and the PACF are summary statistics and trying to parse the appropriate model is nigh impossible unless you restrict yourself to very simple (pure arima models) and even then it is a daunting task. Fitting a set of presumptive models using a list based approach seldomly is satisfactory except in the rare case of no katent deterministic structure..



      Your data may need auto-regressive or moving-average structure along with regular differencing , seasonal differencing, and deterministic structure like level/step shifts , local time trends, pulses , seasonal pulses. Additionally there may be the need for the data to be partitioned due to changes in parameters over time or error variance changes over time or error variance-expected value linkages. Only your data knows for sure ... which is why I ask you to post your data and I will try and help further.



      You might want to follow my guidance here Significant lags at ACF and PACF plots in GLM: what should I do? regarding the ways to match asc/pacf to simple arima models.



      The more comprehensive/modern way to identify models is to integreate arima with deterministic structure as outlined here https://autobox.com/pdfs/ARIMA%20FLOW%20CHART.pdf reflecting an iterative approach not a one-step approach as is often suggested here.



      If the data is deemed confidential simply scale it by subtracting a constant and dividing it by another constant






      share|cite|improve this answer











      $endgroup$
















        1












        1








        1





        $begingroup$

        The ACF and the PACF are summary statistics and trying to parse the appropriate model is nigh impossible unless you restrict yourself to very simple (pure arima models) and even then it is a daunting task. Fitting a set of presumptive models using a list based approach seldomly is satisfactory except in the rare case of no katent deterministic structure..



        Your data may need auto-regressive or moving-average structure along with regular differencing , seasonal differencing, and deterministic structure like level/step shifts , local time trends, pulses , seasonal pulses. Additionally there may be the need for the data to be partitioned due to changes in parameters over time or error variance changes over time or error variance-expected value linkages. Only your data knows for sure ... which is why I ask you to post your data and I will try and help further.



        You might want to follow my guidance here Significant lags at ACF and PACF plots in GLM: what should I do? regarding the ways to match asc/pacf to simple arima models.



        The more comprehensive/modern way to identify models is to integreate arima with deterministic structure as outlined here https://autobox.com/pdfs/ARIMA%20FLOW%20CHART.pdf reflecting an iterative approach not a one-step approach as is often suggested here.



        If the data is deemed confidential simply scale it by subtracting a constant and dividing it by another constant






        share|cite|improve this answer











        $endgroup$



        The ACF and the PACF are summary statistics and trying to parse the appropriate model is nigh impossible unless you restrict yourself to very simple (pure arima models) and even then it is a daunting task. Fitting a set of presumptive models using a list based approach seldomly is satisfactory except in the rare case of no katent deterministic structure..



        Your data may need auto-regressive or moving-average structure along with regular differencing , seasonal differencing, and deterministic structure like level/step shifts , local time trends, pulses , seasonal pulses. Additionally there may be the need for the data to be partitioned due to changes in parameters over time or error variance changes over time or error variance-expected value linkages. Only your data knows for sure ... which is why I ask you to post your data and I will try and help further.



        You might want to follow my guidance here Significant lags at ACF and PACF plots in GLM: what should I do? regarding the ways to match asc/pacf to simple arima models.



        The more comprehensive/modern way to identify models is to integreate arima with deterministic structure as outlined here https://autobox.com/pdfs/ARIMA%20FLOW%20CHART.pdf reflecting an iterative approach not a one-step approach as is often suggested here.



        If the data is deemed confidential simply scale it by subtracting a constant and dividing it by another constant







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited 30 mins ago

























        answered 36 mins ago









        IrishStatIrishStat

        21.7k42342




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