I am interested in understanding whether two populations (young and old) are equally distributed (same mean and variance) with regards to several different variables (income, education level, sex). The null hypothesis is that their income, education level and sex is drawn from the same three distributions. However, I am only able to find tests (chi-squared, k-smirnov) that test whether one of these three variables is identically distributed for the two population groups. One way of testing the null hypothesis is of course to test the identity of the six distributions separately (comparing young-income with old-income, etc.) and then multiplying the three p-values. However, this assumes that these three probabilities are independent from each other - which they are not. Is there any way to test the whole null hypothesis at once?
Sorry if this question is somewhat basic, but I have only been able to find help wrt. to testing whether the two populations are identically distributed with regards to one single variable.
Sorry if this question is somewhat basic, but I have only been able to find help wrt. to testing whether the two populations are identically distributed with regards to one single variable.
