The stats come from the quarterly employment survey that employers complete when they file their quarterly employment returns.
1) Illegals are not reported anywhere. Lots of of small contractors use them. Roubini reported that that remittances to Latin America slowed down sharply since May 2006 because Latino in USA are loosing jobs and need to build savings cushion. http://www.rgemonitor.com/blog/roubini/190912
2) Independent contractors such as Realtors are not reported anywhere because they work for themselves. If you don’t get a W2 then you’re invisible.
3) Reduction in work hours is not reported anywhere as lost employment.