Household surveys: Estimating precision for indices built at individuals level

I am using survey data that contains information of households and of individuals (household members). The sample size was determined at household level, and the sample was selected using a stratified cluster design.
I have created a simple additive scale using several dummy variables, some of the variables measured at household level and some others at individual level. I wonder how can estimate the precision of the variable I have created.

Thanks in advance.
you havent really described what you are doing, why you created variables, or what your intention is. if you want to estimate the accuracy of whatever you created, one way is to just test it.