# PS10.4, for Application Section 10.5 
open data6-3
genr C1 = Cons(-1)
genr DI1 = DI(-1)
# Generate first difference of disposable income 
genr DiffI = diff(DI)
# Model A - Static model with OLS estimation 
ols Cons 0 DI
# Model A - Static model with AR(1) error & CORC estimation 
corc Cons 0 DI
# Model A - Static model with AR(1) error & mixed HILU-CORC 
# estimation.  Note that CORC misses the global minimum here also. 
hilu Cons 0 DI
# Retrieve sigma tilde square for Likelihood Ratio test 
genr sgmasqr = $ess/$T
# Suppress the first observation 
smpl 1949 1989
# Model B - General dynamic model with no restrictions 
ols Cons 0 C1 DI DI1 ;
# Save uhat for LM test for AR(1) and generate uhat(t-1) 
genr ut = $uhat
genr ut1=ut(-1)
# Retrieve error sum of squares for Wald test 
genr essu = $ess
# Retrieve sigma hat square for Likelihood Ratio test 
genr sgmasqu = $ess/$T
# Retrieve d.f. for unrestricted Model B 
genr dfu = $df
# compute -2log likelihood for LR test 
genr LR=-$T*ln(sgmasqu/sgmasqr)
pvalue X 1 LR
# Reset sample range for LM test for AR(1) 
smpl 1950 1989
# Auxiliary regression for the LM test 
ols ut 0 ut1 C1 DI DI1
# Compute trsquare statistic and corresponding p-value 
genr LM1 = $trsq
pvalue X 1 LM1
# Model C - Restricted model with coeff. for DI and DI1 adding to zero 
smpl 1949 1989
ols Cons 0 C1 DiffI
# Save uhat for LM test for AR(1) and generate uhat(t-1) 
genr utt = $uhat
genr utt1=utt(-1)
# Retrieve error sum of squares for WALD test 
genr essr = $ess
# Reset sample range for LM test for AR(1) 
smpl 1950 1989
# Auxiliary regression for the LM test 
ols utt 0 utt1 C1 DiffI
# Compute trsquare and p-value for LM test 
genr LM2 = $trsq
pvalue X 1 LM2
# Compute WALD F-statistic 
genr WALD = dfu*(essr-essu)/essu
# Compute p-value for F-distribution 
pvalue F 1 dfu WALD