Standardization is a well-known technique used to avoid compositional
effects when schedules of demographic rates are compared for two or mo
re subpopulations. Common sense tells us that such standardization can
be omitted when the subpopulations have the same structure with respe
ct to the covariates one could standardize for. The present paper give
s a theoretical justification of this intuitive insight and relates it
to the theory for harmless model mis-specification in intensity-regre
ssion analysis. The idea of the latter notion is that under certain ci
rcumstances one can omit factors without producing biases which affect
the coefficients of remaining covariates, even when the omitted facto
rs genuinely affect the investigated behavior.