Folks,
I've just noticed some very strange behavior when I try to generate studentized
bootstrap confidence intervals in a model with only a constant (this is problem 5.6 in
Davidson/MacKinnon's ETM). The model is earnings data regressed on a dummy variable
for a particular income group, so it's just estimating the mean.
Here are the results from running a studentized bootstrap:
For the coefficient on G3 (point estimate 27973.6):
Studentized 95% confidence interval = 16009.7 to 17410.2
Based on 999 replications, using resampled residuals
The graph of the sampling distribution, on the other hand, is centered roughly on the
point estimate (see 'studentized.pdf', attached).
When I do a regular bootstrap confidence interval, I get
For the coefficient on G3 (point estimate 27973.6):
95% confidence interval = 42857 to 44843
Based on 999 replications, using resampled residuals
With the distribution in 'bootstrap.pdf'.
Things seem to work ok in a model with all three group dummies and no constant.
PS
===============================
Dr. Peter Summers
Assistant Professor
Department of Economics
Texas Tech University
===============================
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Ok, I've pretty much figured this out. My problem was that I didn't restrict the
sample to those in the relevant group before estimating the model. When I do that I get
the results I expected.
Sorry to bother you...
PS
________________________________
From: gretl-users-bounces(a)lists.wfu.edu [mailto:gretl-users-bounces@lists.wfu.edu] On
Behalf Of Summers, Peter
Sent: Friday, March 05, 2010 10:09 AM
To: Gretl list
Subject: [Gretl-users] weird bootstrap behavior
Folks,
I've just noticed some very strange behavior when I try to generate studentized
bootstrap confidence intervals in a model with only a constant (this is problem 5.6 in
Davidson/MacKinnon's ETM). The model is earnings data regressed on a dummy variable
for a particular income group, so it's just estimating the mean.
Here are the results from running a studentized bootstrap:
For the coefficient on G3 (point estimate 27973.6):
Studentized 95% confidence interval = 16009.7 to 17410.2
Based on 999 replications, using resampled residuals
The graph of the sampling distribution, on the other hand, is centered roughly on the
point estimate (see 'studentized.pdf', attached).
When I do a regular bootstrap confidence interval, I get
For the coefficient on G3 (point estimate 27973.6):
95% confidence interval = 42857 to 44843
Based on 999 replications, using resampled residuals
With the distribution in 'bootstrap.pdf'.
Things seem to work ok in a model with all three group dummies and no constant.
PS
===============================
Dr. Peter Summers
Assistant Professor
Department of Economics
Texas Tech University
===============================