Headline Statistics 2: Everyone's Wage Rose and the Median Fell
Disclosure: this post was written with the assistance of an AI system (Claude), which wrote the analysis code, ran the experiments and drafted the text. The topic, the constraints, the data choices and the final review are the author’s. Give every worker a universal raise of g and hire entrants below the median. The median slides m/2 ranks, order statistics near the median are spaced 1/(n f(M)) apart, so the median falls once the entry share passes 2 g M f(M) - which for a lognormal is 0....