Wage stagnation in the US: more than meets the eye

If you can, always look below the surface of data.

Via the Economist journalist Daniel Knowles comes a good example of why its important to look below the surface of statistics. American economist Steve Landsburg addresses a commonly heard refrain – that the wage of the median worker has barely risen in the past thirty years – and shows that all is not as it seems.

Landsburg cites a book by economist Edward Conard (first chapter, containing what we're talking about, here), which itself cites the Census Bureau. I confess that, without a more specific citation, I can't find the exact data Conard uses, but have found similar enough data (pdf, table A-5) to confirm the overall thrust of the argument.

Conard shows that from 1980 to 2005, median income in the US rose just 3 per cent once inflation is taken into account, from $25,000 to $25,700. 2005 is pre-crash, as well, so this isn't a tale of the recession.

But when you break the data down by race and gender, a very different story appears:

  1980 Median 2005 Median Increase
All Workers 25,000 25,700 3%
White Men 30,700 35,200 15%
Nonwhite Men 19,300 22,300 16%
White Women 11,200 19,600 75%
Nonwhite Women 10,200 16,500 62%

For every single demographic group, there was a much bigger increase in the median wage than we see when the groups are combined. The reason for this is obvious when it's pointed out: demographic change in the US means that there are far more (low-salaried) women and people of colour working now than there were in 2005, which pushes the overall average down.

Landsburg illustrates it with a farmyard analogy:

Imagine a farmer with a few 100-pound goats and a bunch of 1000-pound cows. His median animal weighs 1000 pounds. A few years later, he’s acquired a whole lot more goats, all of which have grown to 200 pounds, while his cows have all grown to 2000. Now his median animal weighs 200 pounds.

A very silly person could point out to this farmer that his median animal seems to be a lot scrawnier these days. The farmer might well reply that both his goats and his cows seem to be doing just fine, at least relative to where they were.

This is almost an example of Simpson's Paradox, a well-known (to stats nerds) effect where the direction of a correlation disappears when that correlation is disaggregated. I was taught it with an example involving racial discrepancies in application of the death penalty:

Sixty per cent of white murderers are executed for their crimes, and fifty per cent of black murderers. Are black people discriminated against in the application of the death penalty?

Now suppose that we break down the murder victims by race as well. We find the common pattern that people tend to attack victims of their own race:

Number of murders where death penalty is applied

White Murderer Black Murderer
White Victim 50/70=71% 25/30=83%
Black Victim 10/30=33% 25/70=36%

What about now? Does it begin to look like black people are discriminated against? In this example, black people are more likely to be executed for the murder of black or white victims; but because the murder of black victims isn't taken as seriously by the courts, the fact that murderers predominantly attack people of their race makes it look like black people are less likely to be executed than white people.

The median income example isn't quite a case of Simpson's Paradox, because there is still a positive increase in wage whether or not the statistics are disaggregated. But it's still an example of a time when it is best to dig beneath the surface.

But there is more to be said on the story of wage stagnation. Because a second claim normally accompanies the belief that US wages have stagnated, and that is that there has been a "decoupling" of wages. Due to rising inequality, the median household wage hasn't risen as fast as the mean wage:

If we've seen that the median wage grows faster when disaggregated, then the solid red line is likely to take a steeper ascent. But what happens to the dashed red line when disaggregated?

Sadly, I cannot find the data required to answer the question. If anyone knows where to look, tell me, and maybe we can put the issue to rest.

An immigrant worker protests in Orlando, Florida. Photograph: Getty Images

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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Is Yvette Cooper surging?

The bookmakers and Westminster are in a flurry. Is Yvette Cooper going to win after all? I'm not convinced. 

Is Yvette Cooper surging? The bookmakers have cut her odds, making her the second favourite after Jeremy Corbyn, and Westminster – and Labour more generally – is abuzz with chatter that it will be her, not Corbyn, who becomes leader on September 12. Are they right? A couple of thoughts:

I wouldn’t trust the bookmakers’ odds as far as I could throw them

When Jeremy Corbyn first entered the race his odds were at 100 to 1. When he secured the endorsement of Unite, Britain’s trade union, his odds were tied with Liz Kendall, who nobody – not even her closest allies – now believes will win the Labour leadership. When I first tipped the Islington North MP for the top job, his odds were still at 3 to 1.

Remember bookmakers aren’t trying to predict the future, they’re trying to turn a profit. (As are experienced betters – when Cooper’s odds were long, it was good sense to chuck some money on there, just to secure a win-win scenario. I wouldn’t be surprised if Burnham’s odds improve a bit as some people hedge for a surprise win for the shadow health secretary, too.)

I still don’t think that there is a plausible path to victory for Yvette Cooper

There is a lively debate playing out – much of it in on The Staggers – about which one of Cooper or Burnham is best-placed to stop Corbyn. Team Cooper say that their data shows that their candidate is the one to stop Corbyn. Team Burnham, unsurprisingly, say the reverse. But Team Kendall, the mayoral campaigns, and the Corbyn team also believe that it is Burnham, not Cooper, who can stop Corbyn.

They think that the shadow health secretary is a “bad bank”: full of second preferences for Corbyn. One senior Blairite, who loathes Burnham with a passion, told me that “only Andy can stop Corbyn, it’s as simple as that”.

I haven’t seen a complete breakdown of every CLP nomination – but I have seen around 40, and they support that argument. Luke Akehurst, a cheerleader for Cooper, published figures that support the “bad bank” theory as well.   Both YouGov polls show a larger pool of Corbyn second preferences among Burnham’s votes than Cooper’s.

But it doesn’t matter, because Andy Burnham can’t make the final round anyway

The “bad bank” row, while souring relations between Burnhamettes and Cooperinos even further, is interesting but academic.  Either Jeremy Corbyn will win outright or he will face Cooper in the final round. If Liz Kendall is eliminated, her second preferences will go to Cooper by an overwhelming margin.

Yes, large numbers of Kendall-supporting MPs are throwing their weight behind Burnham. But Kendall’s supporters are overwhelmingly giving their second preferences to Cooper regardless. My estimate, from both looking at CLP nominations and speaking to party members, is that around 80 to 90 per cent of Kendall’s second preferences will go to Cooper. Burnham’s gaffes – his “when it’s time” remark about Labour having a woman leader, that he appears to have a clapometer instead of a moral compass – have discredited him in him the eyes of many. While Burnham has shrunk, Cooper has grown. And for others, who can’t distinguish between Burnham and Cooper, they’d prefer to have “a crap woman rather than another crap man” in the words of one.

This holds even for Kendall backers who believe that Burnham is a bad bank. A repeated refrain from her supporters is that they simply couldn’t bring themselves to give Burnham their 2nd preference over Cooper. One senior insider, who has been telling his friends that they have to opt for Burnham over Cooper, told me that “faced with my own paper, I can’t vote for that man”.

Interventions from past leaders fall on deaf ears

A lot has happened to change the Labour party in recent years, but one often neglected aspect is this: the Labour right has lost two elections on the bounce. Yes, Ed Miliband may have rejected most of New Labour’s legacy and approach, but he was still a protégé of Gordon Brown and included figures like Rachel Reeves, Ed Balls and Jim Murphy in his shadow cabinet.  Yvette Cooper and Andy Burnham were senior figures during both defeats. And the same MPs who are now warning that Corbyn will doom the Labour Party to defeat were, just months ago, saying that Miliband was destined for Downing Street and only five years ago were saying that Gordon Brown was going to stay there.

Labour members don’t trust the press

A sizeable number of Labour party activists believe that the media is against them and will always have it in for them. They are not listening to articles about Jeremy Corbyn’s past associations or reading analyses of why Labour lost. Those big, gamechanging moments in the last month? Didn’t change anything.

100,000 people didn’t join the Labour party on deadline day to vote against Jeremy Corbyn

On the last day of registration, so many people tried to register to vote in the Labour leadership election that they broke the website. They weren’t doing so on the off-chance that the day after, Yvette Cooper would deliver the speech of her life. Yes, some of those sign-ups were duplicates, and 3,000 of them have been “purged”.  That still leaves an overwhelmingly large number of sign-ups who are going to go for Corbyn.

It doesn’t look as if anyone is turning off Corbyn

Yes, Sky News’ self-selecting poll is not representative of anything other than enthusiasm. But, equally, if Yvette Cooper is really going to beat Jeremy Corbyn, surely, surely, she wouldn’t be in third place behind Liz Kendall according to Sky’s post-debate poll. Surely she wouldn’t have been the winner according to just 6.1 per cent of viewers against Corbyn’s 80.7 per cent. 

Stephen Bush is editor of the Staggers, the New Statesman’s political blog.