On Mon, 2 Apr 2012, Ravi Kulkarni wrote:

I am trying to work out a bootstrapped Tobit regression model. I get the
coefficients all right, but they all have standard error zero. And I am
unable to figure out why. I know the coefficients are correct because that's
what I get when do a Tobit (without bootstrapping). Here's my code:

# Bootstrap 95% CI for Tobit regression coefficients?
library(boot)
library(AER) # for the Affairs dataset
data(Affairs)

# function to obtain regression weights
bs <- function(formula, data, indices) {
 d <- data[indices,]
 fit <- tobit(formula, data=Affairs)
 return(coef(fit))
}
# bootstrapping with 1000 replications
results <- boot(data=Affairs, statistic=bs,
  R=1000, formula=affairs~age+yearsmarried+religiousness+occupation+rating)

# view results
results

That gives me the right coefficients, but the SEs are all zero, so I cannot get 95% confidence intervals...

In the AER book in Chapter 7.2 we have an example for a linear regression where boot() is used on an lm() model. This can easily be adapted here:

## refit function and bootstrap
refit <- function(data, i) coef(tobit(
  affairs ~ age + yearsmarried + religiousness + occupation + rating,
  data = data[i,]))
m1 <- boot(Affairs, refit, R = 1000)

## original model
m2 <- tobit(affairs ~ age + yearsmarried + religiousness + occupation +
  rating, data = Affairs)

## compare results
m1
coeftest(m2)

Hope that helps,
Z

Any help is welcome...

 Ravi





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