According to Thomas Bayes, the analysis isn't quite wrong. Comment reproduced for your convenience:
Based on the census tables that he cites, here’s what I see for 2005 (in 2005 dollars):
All men: $31,725
White men: $32,179
- Soltas says $31,725, which is the median for all men.
White, not hispanic men: $35,345
Conard says $35,200 for white men, which is very close to the number for white, not hispanic. The number he uses for white women is $19,600. The Census data that Soltas cited shows $19,451.
Based on this quick comparison, I’m not sure that Soltas has discredited Conard’s analysis.
ETA: The table linked by Landsburg has been called into serious question by Evan Soltas [H.T. CronoDAS]. I edited the post to leave only the table to provide context for the comment discussion of its status.
Economist Steve Landsburg has a post [H.T. David Henderson] about the supposed stagnation of median wages in the United States in recent decades. In the linked table median wages have risen for: