I'm trying to test for a difference in means (or in proportions) between
two sub-samples in my data set. i.e. I want to test whether the prevalence
of interest is different bewteen males and females. Since I don't have
access to all of the survey design info ( but I do have bootstrap weights),
I am using the BSWREG command.
I have attempted to test for the difference in proportions in two ways:
Method 1: regressed prevalence (1=yes, 0=no) on gender (1=female, 0=male).
Then did a t-test, based on the coefficient of the gender variable divided
by the standard error of the gender coefficient.
Method 2: Regressed prevalence (1=yes, 0=no) on males and females
seperately. This gives the proportion of each gender which stated
prevalence=yes. I then calculated the t-statistic as equal to the
difference in means divided by SQRT(SEmales_squared + SEfemales_squared).
The results from thetwo methods are different as expected because of the
missing covariance term in the denominator of Method 2. There should be a
covariance term as the male and female samples are not indepedent of each
other as a result of the sampling frame.
I'd like to be able to run this test using each method in order to confirm
the results. Does anybody know how I can calculate the t-statistic using
the 2nd method? Or how I can derive the covariance term?
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