State
Year (1: 1988, ..., 22: 2009)
Estimated population at mid-year (U.S. Census)
Opposite sex marriages (state data accounting for same sex marriages)
Opposite sex marriage rate
mr_lag1 - (m_lag1 + s_lag1 + w_lag1 + ms_lag1); implies homogeneity
Same sex marriage law (proportion of year in effect)
Strong same sex civil union law (proportion of year in effect)
Weak same sex civil union law (proportion of year in effect)
Multiplicative interaction between m and s
First-lag of mr: 1-year lag of opposite sex marriage rate
First-lag of m: 1-year lag of same sex marrige law
First-lag of s: 1-year lag of strong same sex civil union law
First-lag of w: 1-year lag of weak same sex civil union law
First-lag of ms: 1-year lag of multiplicative interaction of m & s
Delta mr: the 1-year change in opposite sex marriage rate
Delta m: 1-year change in same sex marrige law
Delta s: 1-year change in strong same sex civil union law
Delta w: 1-year change in weak same sex civil union law
Delta ms: 1-year change in multiplicative interaction of m & s