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  • wite noise in time series

    Hi every body, I'm using the portemanteau test for white noise and I did the correlograme for the residuals here are the results:

    LAG AC PAC Q Prob>Q [Autocorrelation] [Partial Autocor]
    -------------------------------------------------------------------------------
    1 0.0662 0.0662 5.0957 0.0240 | |
    2 -0.0055 -0.0099 5.1308 0.0769 | |
    3 -0.0346 -0.0338 6.5213 0.0888 | |
    4 0.0630 0.0681 11.151 0.0249 | |
    5 -0.0105 -0.0201 11.281 0.0461 | |
    6 -0.0160 -0.0147 11.581 0.0720 | |
    7 -0.0132 -0.0064 11.785 0.1079 | |
    8 -0.0042 -0.0088 11.805 0.1601 | |
    9 0.0475 0.0503 14.445 0.1074 | |
    10 0.0251 0.0197 15.185 0.1255 | |

    . tsline cac

    . wntestq e

    Portmanteau test for white noise
    ---------------------------------------
    Portmanteau (Q) statistic = 36.6599
    Prob > chi2(40) = 0.6214



    Which looks bizarre to me is that the null hypothesis of presence of autocorrelation is accepted until lag(6) whith Ljung-Box statistic. However, the whole white noise test accept the null hypothesis of white noise for all the dataset. Is this normal??? I'm really confused!

  • #2
    sorry this is better :

    . corrgram e in 2/1160, lags(10)

    -1 0 1 -1 0 1
    LAG AC PAC Q Prob>Q [Autocorrelation] [Partial Autocor]
    -------------------------------------------------------------------------------
    1 0.0662 0.0662 5.0957 0.0240 | |
    2 -0.0055 -0.0099 5.1308 0.0769 | |
    3 -0.0346 -0.0338 6.5213 0.0888 | |
    4 0.0630 0.0681 11.151 0.0249 | |
    5 -0.0105 -0.0201 11.281 0.0461 | |
    6 -0.0160 -0.0147 11.581 0.0720 | |
    7 -0.0132 -0.0064 11.785 0.1079 | |
    8 -0.0042 -0.0088 11.805 0.1601 | |
    9 0.0475 0.0503 14.445 0.1074 | |
    10 0.0251 0.0197 15.185 0.1255 | |



    . wntestq e

    Portmanteau test for white noise
    ---------------------------------------
    Portmanteau (Q) statistic = 36.6599
    Prob > chi2(40) = 0.6214


    when I reduce the lag it reject H0 (white noise) :

    . wntestq e, lags(4)

    Portmanteau test for white noise
    ---------------------------------------
    Portmanteau (Q) statistic = 11.1514
    Prob > chi2(4) = 0.0249



    I'm I missing somthing???



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