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Section 6.2 of the same paper is on political efficacy (how much say do you have in getting the government to address issues that interest you?) in China and Mexico. There's no direct physical test of political efficacy, but the correct ranking of the two countries could hardly be more obvious from well known external evidence; there too, the self-assessments get the ranking of the countries wrong, but the vignette correction gets it right. For measuring political efficacy for other countries and to study variation within these countries, no feasible measurement strategy exists other than surveys, and the evidence here too indicates that anchoring vignettes improve the self-assessments.