Can you contrast U-3 unemployment levels with U-6?
Which do you consider the most accurate?
I'm puzzled why people tend to ignore the U-1, U-2, U-4, and U-5. And many people describe the U-4 but say it's the U-6.
Anyway, standard economist answer for everything: It depends.
The basic concept of Unemployment is to measure the Labor Market, and the Labor Force. And back in the late 1930's, when trying to define Unemployed, it was realized that the most objective way to tell if someone wanted a job was to look at what they were doing about it. If someone's looking for a job, we can assume they want a job (though certainly there will be cases of people just going through the motions to retain UI benefits, that doesn't ruin the basic assumption). But if someone just says they want a job, but isn't looking, we're in very subjective territory and will have a lot of variance in any survey.
So, we get what is now the U-3 (formely the U-5) which is the number of Unemployed (defined as didn't work but looked for work) as a percentage of the Labor Force (Employed plus Unemployed).
This tells us the state of the Labor Market...how many people trying to work are unsuccessful. It's the most objective measure because it measures what people are doing, and the groups are large enough to have a smallish sample (60,000 households) and get low margins of error (Unemployed is +-2.3% and Employed +-0.4%)
But it does not give the full picture of what's happening in the economy, so alternative measures were introduced in the 1970's. These were revised in 1994 to give the current U-1 - U-6
U-1 Persons unemployed 15 weeks or longer, as a percent of the civilian labor force. This tells us about the long term unemployed. A very important figure in a Recession. In April it was 5.8%, unchanged for months. It's good that it's not increasing, bad that it's still so high.
U-2 Job losers and persons who completed temporary jobs, as a percent of the civilian labor force
This tells us about people losing their jobs, as opposed to quitting or just starting to look for work. In April it was 6.0%, dropping from 6.1% in March and 6.2% in Feb. This is a positive sign...it tells us that more of the unemployed are either quitting (thinking they'll find a job) or starting to look for work (optimism about the economy).
U-3 Total unemployed, as a percent of the civilian labor force (official unemployment rate)Already covered. 9.9% in April, increased from 9.7% in March, but the U-2 tells us this is mostly from people starting to look for work.
U-4 Total unemployed plus discouraged workers, as a percent of the civilian labor force plus discouraged workers.
Discouraged Workers are those who are not working, haven't looked for work in the last 4 weeks, but say they do want a job, are available to work, did look sometime in the last 12 months, but aren't looking now because they don't think they'll be successful. Obviously this is very subjective: hard to tell if they're telling the truth, hard to tell how accurate their opinion of their success is, hard to tell if the opinion is based on personal conditions (believe themselves to be too young, too old, too black, too white, too many convictions etc) or their perception of the labor market (which may or may not be accurate. It IS still useful in telling us what people think about the economy and these people are potential workers if their beliefs change. In April, this was 10.6%, up from 10.3%...obviously a lot of this change is the increase in the U-3.
U-5 Total unemployed, plus discouraged workers, plus all other persons marginally attached to the labor force, as a percent of the civilian labor force plus all persons marginally attached to the labor force.
Marginally Attached have the same definition as Discouraged, except it can be for any reason at all (injury or illness, child care issues, pregnancy, transportation, jail, alien abduction, whatever). Again, this is very subjective, many of the reasons are non-economic, but it does show potential workers.
U-6 Total unemployed, plus all persons marginally attached to the labor force, plus total employed part time for economic reasons, as a percent of the civilian labor force plus all persons marginally attached to the labor force.
Because the U-6 includes people with jobs, it can't properly be referred to as a measure of Unemployment. Part Time for Economic reasons means the person is working less than 35 hours a week, but wants to and can work 35 hours or more but isn't because his/her hours have been cut (temporarily or not) or s/he just can't find full time work. This gives the broadest view of all people who would theoretically would work and those who aren't working as much as they like. It's problem is its extreme subjectivity and its inclusion of people with jobs. Current it's at 17.1%, up from 16.9%.
What's your best guess on whether or not this "recovery" is a speed bump on the way to the
Great Depression 2.0?
It depends

Seriously, there are positive signs and negative signs. I'm no finance guy, so my guesses about the financial markets and government spending probably wouldn't even be good guesses. One thing the article didn't comment on was that while GDP has been increasing, government spending has actually been a negative factor on the growth (due to decreases in state and local govt spending) and the growth has been fueled by Consumer Spending and Private Investment. This is hopeful. And I believe (I haven't checked recently) that even Net Exports has been improving (still negative, but not as negative.