Lagging Independent Variables in Probit.
Posted: Fri May 20, 2011 9:49 am
Hello,
I am doing a paper on term-spreads (difference in yields of 10 year and 3 month bonds) predictive power on the real-economic activity. I am using a Probit model to assess the probability of a recession.
What I want to check is to see the lagged term-spreads predictive power using various lags - the data is sampled quarterly.
The general model is specified as: F(x=1|Spreadt-k) or a + b*SPREADt-k.
I am confused regarding the method of lagging.
If I wish to lag the term-spread by 4 quarters (i.e. I wish to compare the state of the term-spread 4 quarters ago with todays general state of the economy). Do I specify the model as:
1) y = c + c(1)*SPREAD(-4)
or
2) y = c + c(1)*SPREAD(-1) + c(2)*SPREAD(-2) + c(3)*SPREAD(-3) + c(4)*SPREAD(-4)
Yet another confusing factor if I use the latter is the output eviews provides. Since I am specifying 4 variables (5 with the constant term) which one of them should I look at when I determine the 4-quarter lagged term-spread? Do I look at c(1), c(2), c(3) or c(4)?
The output of eviews is similar to this:
c - XXX
c(1) - XXX
c(2) - XXX
c(3) - XXX
c(4) - XXX
-Thanks
I am doing a paper on term-spreads (difference in yields of 10 year and 3 month bonds) predictive power on the real-economic activity. I am using a Probit model to assess the probability of a recession.
What I want to check is to see the lagged term-spreads predictive power using various lags - the data is sampled quarterly.
The general model is specified as: F(x=1|Spreadt-k) or a + b*SPREADt-k.
I am confused regarding the method of lagging.
If I wish to lag the term-spread by 4 quarters (i.e. I wish to compare the state of the term-spread 4 quarters ago with todays general state of the economy). Do I specify the model as:
1) y = c + c(1)*SPREAD(-4)
or
2) y = c + c(1)*SPREAD(-1) + c(2)*SPREAD(-2) + c(3)*SPREAD(-3) + c(4)*SPREAD(-4)
Yet another confusing factor if I use the latter is the output eviews provides. Since I am specifying 4 variables (5 with the constant term) which one of them should I look at when I determine the 4-quarter lagged term-spread? Do I look at c(1), c(2), c(3) or c(4)?
The output of eviews is similar to this:
c - XXX
c(1) - XXX
c(2) - XXX
c(3) - XXX
c(4) - XXX
-Thanks