On Mon, 13 Jun 2016, Ganz, Carl wrote:

Hello everyone,

I would like to use truncreg on survey data with weights, but so far as I can 
tell the weight parameter in truncreg is not working. I find that using weights 
does not actually change the output.

Here is a small reproducible example using the example in the documentation:

## simulate a data.frame
set.seed(1071)
n <- 10000
sigma <- 4
alpha <- 2
beta <- 1
x <- rnorm(n, mean = 0, sd = 2)
eps <- rnorm(n, sd = sigma)
y <- alpha + beta * x + eps
d <- data.frame(y = y, x = x)

## truncated response
d$yt <- ifelse(d$y > 1, d$y, NA)

## binary threshold response
d$yb <- factor(d$y > 0)

## censored response
d$yc <- pmax(1, d$y)

## random weight
wgt <- runif(10000,500,1500)
## unweighted
fm_trunc <- truncreg(yt ~ x, data = d, point = 1, direction = "left")
## weighted
fm_trunc_weighted <- truncreg(yt ~ x, data = d, weights = wgt, point = 1, direction = 
"left")

coef(fm_trunc_weighted)==coef(fm_trunc) # all equal

Am I misunderstanding how the weight parameter works for truncreg or is the weight parameter not working?

I think you are right and the 'weights' argument in truncreg() is currently not used.

As an alternative you can use the "crch" package for censored (and truncated) regression with conditional heteroskedasticity. The models above can be fitted via:

library("crch")
fm_trunc2 <- trch(yt ~ x, data = d, left = 1)
fm_trunc_weighted2 <- trch(yt ~ x, data = d, weights = wgt, left = 1)

Note that by default a log-link is used for the sigma/scale parameter to assure positivity. But you can also set link.scale="identity" to obtain the same results as in truncreg().

Kind Regards,
Carl

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