Hi,
I tried to do ADF tests with and without Test down option. Using always the
same variable.
Here are the results:
ADF test
Max order =4
Const + trend included
Test down checked
Dickey-Fuller tests for X
sample size 35
unit-root null hypothesis: a = 1
with constant and trend
model: (1 - L)y = b0 + b1*t + (a-1)*y(-1) + e
lag order: 0
1st-order autocorrelation coeff. for e: -0,044
estimated value of (a - 1): -0,554223
test statistic: tau_ct(1) = -2,98904
p-value 0,1495
P-values based on MacKinnon (JAE, 1996)
Then I tested without Test down option but using lag order used by Test down
option (i.e. zero). Here are the results:
ADF test
Order= 0
Const + trend included
Dickey-Fuller tests for X
sample size 36
unit-root null hypothesis: a = 1
with constant and trend
model: (1 - L)y = b0 + b1*t + (a-1)*y(-1) + e
1st-order autocorrelation coeff. for e: -0,111
estimated value of (a - 1): -0,608096
test statistic: tau_ct(1) = -4,04436
p-value 0,01589
P-values based on MacKinnon (JAE, 1996)
Test statistics are different i.e. with Test down option is -2,98904, and
without -4,04436.
Then I tested without Test down option but using one lag. Here are the
results:
ADF test
Order =1
Const + trend included
Augmented Dickey-Fuller tests, order 1, for X
sample size 35
unit-root null hypothesis: a = 1
with constant and trend
model: (1 - L)y = b0 + b1*t + (a-1)*y(-1) + ... + e
1st-order autocorrelation coeff. for e: -0,044
estimated value of (a - 1): -0,554223
test statistic: tau_ct(1) = -2,98904
asymptotic p-value 0,1352
P-values based on MacKinnon (JAE, 1996)
As we can see, test statistic is the same as with Test down option...but
used lags are not.
This also can be seen by looking at sample sizes. With Test down optin lag
order is o, sample size is 35 and test statistic is -2,98904 while without
Test down sample size is 35, test statistic is -2,98904 but lag order is 1.
Is it something wrong or not?
Thnx
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