Question

You obtain the first 5 autocorrelations and their p-values for a certain time series dataset: Order...

You obtain the first 5 autocorrelations and their p-values for a certain time series dataset:

Order Autocorrelation P-value
1st 5.03 0.001
2nd 4.89 0.005
3rd 4.77 0.007
4th 0.31 0.787
5th 0.27 0.803

What would be your best guess for the model that fits this data?

An MA(3) model

  

An MA(2) model

  

An MA(1) model

  

An AR(1) model

  

An ARMA(1,2) model

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Answer #1

Since P-value for order 4 and 5 are significantly high, so we can say that order 4 and 5 do not have significant autocorrelation.

Till order 3, it has significant autocorrelation.

So, the best guess for the model that fits this data - An MA(3) model

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