Survey Statistics: using MRP in later analyses (pride edition)

Happy pride ! One way I celebrated was by reading Lax & Phillips 2009, Gay Rights in the States: Public Opinion and Policy Responsiveness. It’s on-theme, an example in the MrPlew paper (which I also still need to digest), and I wanted examples of using MRP in later analyses. Lax & Phillips 2009 studied the relationship between state-level public opinion and state adoption of policies affecting gays and lesbians. Andrew blogged about this work in Nov 2008, Jan 2009, and June 2009 when he wrote: Fancy statistical analysis can indeed lead to better understanding. Jeff Lax and Justin Phillips used the method of multilevel regression and poststratification (“Mister P”… The paper’s appendix includes a NYT article and an almost-rainbow-colored plot: Lax & Phillips 2009 used MRP to estimate state-level public opinion E(y | s). Let y_i = 1 if person i supports laws to protect against discrimination in job opportunities (for example), = 0 otherwise s[i] = state where person i lives, e.g. NY L_s…