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标题: Durbin-Watson [打印本页]

作者: Andreas42    时间: 2011-7-13 16:24     标题: Durbin-Watson

What is the difference between DL and DU values on a DW table?
作者: yodacaia    时间: 2011-7-13 16:24

On the table you take the two values and they make up your line bare used to determine whether you accept or reject the hypothesis that auto correlation is present



0 ----- DLower --- Dupper ---- 4 - DUpper ------ 4 - DLower -----4

If your calculated D stat is below Dlower, then Positive A/C is present

Between DL and DU - inconclusive - you can't reject and can't not reject

Greater than Dupper than positive A/C is not present

And similar for negative A/c


So its

positive A/C - inconclusive - no A/C - inconclusive - negative A/C
作者: RMontgomery    时间: 2011-7-13 16:24

thank you very much.
作者: flyinggirl    时间: 2011-7-13 16:24

And its corrected with Hansen Std Errors
作者: tobeornottobe    时间: 2011-7-13 16:24

keep adding lags until the residual slopes are no longer significant
作者: hassan    时间: 2011-7-13 16:24

U tesit for AR model, test for corrolation, still exists, test for AR2, if it doesnt exist, add a seasonality lag, then ARCH ..


Get st error = 1 / square root of number of observations

t = AC / st error if its greater than t table, then it needs adjustment..

if not then u fail to reject null and model is correctly specified.
作者: benbenxiong    时间: 2011-7-13 16:24

thanks all, I was just quizzing to see who is interested.
作者: Kapie    时间: 2011-7-13 16:24

true enough ..


Can you explain more on cointegration .. I have no clue what that is .. All i know is both v should not have unit root OR if they have unit root but must be cointegrated (long term economic relation) .. And it has a reliable t test.
作者: giorgio10    时间: 2011-7-13 16:24

for AR use dickey fuller test.
H0: b1-1 =0
if rejected, then time is covariant stationary.
If fail to reject, then b1 is indeed 1/has unit root.


To correct unit root, do first differencing.
A) Calculate yt = error = xt - x(t-1)
B) Then state yt = b0 + b1 y(t-1) + e where b0=b1=0
作者: lucasg85    时间: 2011-7-13 16:24

Cointegration -- just like you do differencing to get rid of the rising or falling trend, cointegration says if the two series are bad (not cov station), then it's ok, if the two series are relared to each other...they are both going wild, but if you take the difference between them, you get a stable mean, etc.
作者: senlinlang    时间: 2011-7-13 16:24

pepp Wrote:
-------------------------------------------------------
> for AR use dickey fuller test.
> H0: b1-1 =0
> if rejected, then time is covariant stationary.
> If fail to reject, then b1 is indeed 1/has unit
> root.
>
>
> To correct unit root, do first differencing.
> A) Calculate yt = error = xt - x(t-1)
> B) Then state yt = b0 + b1 y(t-1) + e where
> b0=b1=0

All the tests before whether hetero, serial, Autoregression .. if we reject null = > model needs to be corrected however in this test, if we reject null then it is cov stationary and it doesnt have unit root? please confirm..
作者: ppls    时间: 2011-7-13 16:24

Just reviewed this section:

For simple time series Trend Analyis, use dicky fuller and follow CFA_Chap's analysis.

For AR models, you need to perform a t-test on the autocorrelation or series correlation coefficients. If those are significant (generally greater than 2), then autocorrelation exists. This is also used for idenitfying seasonality I believe.

For AR, there is also the ARCH test for conditional heteroskedasticity. Once again, if the t-stats on the coefficients are significant, the model is invalid and needs to be respecified.

I do hope we don't have to calculate, and can merely look at the reports :-)




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