I have a very interesting question...I am currently trying to run a
Multivariate Multiple Regression model (i.e. each trial has more than
one dependent variable) and the type of independent variables that I am
using in this model are dummy variables. Now my question is why does
the square of the design matrix (i.e. the Z'Z matrix) become non-
invertable if an entire column of the design matrix (i.e. Z matrix)is
either all ones or all zero's. That is, why does Z'Z become singular if
your entrie sample population has the same answer for any given dummy
variable.


Thanks


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