There are not 120,000 "troubled families"

This zombie statistic refuses to die.

The Department for Communities and Local Government has released a report focusing on so-called "troubled families", which presents a compelling case that the worst of these families have problems which need urgent intervention. But it also takes the opportunity to revive one of the department's favourite zombie statistics. A report which is based on formal interviews with 16 families ("although she met and talked with many more") is generalised out to cover 120,000.

This six-figure number is one of the DCLG's favourites. It has been pushing it since at least February, when NIESR's Jonathan Portes first drew attention to the problems with the definition of "troubled". When the Prime Minister quoted the figure, he called these families:

The source of a large proportion of the problems in society. Drug addiction. Alcohol abuse. Crime. A culture of disruption and irresponsibility that cascades through generations.

As Portes pointed out, the actual definition of troubled families focuses far more on them being families with troubles, rather than families causing trouble. The DCLG has an explanatory note on the topic, which defines the families as any holding five or more of the following characteristics:

a) no parent in work
b) poor quality housing,
c) no parent with qualifications,
d) mother with mental health problems
e) one parent with longstanding disability/illness
f) family has low income,
g) Family cannot afford some food/clothing items                                                        

So back in February, the overarching problem with the statistic was how it was used, rather than the number itself. Whether or not there were 120,000 of them, these troubled families are in no way "irresponsible".

But last month, the dishonesty became clearer. Perhaps realising that the rhetoric didn't match up with the definition, the department published a new explanatory note, which claimed that troubled families were:

Characterised by there being no adult in the family working, children not being in school and family members being involved in crime and anti-social behaviour.

That definition does sound much more like one of a family suffering "a culture of disruption and irresponsibility", certainly. But normally, when one changes a definition of something, the number of cases falling under that definition also changes. Not so with the troubled families. The department continued – and continues – to refer to "120,000" of them.

Even worse, when the Prime Minister first referred to the families (using the kinder definition), he did so with an extraordinary level of granularity, saying:

There are an estimated 4,500 of these families in Birmingham, 2,500 in Manchester, and 1,115 here in Sandwell.

Once the definition changed, had the location? Like hell.

As Jonathan Portes concluded his post:

It is difficult to conclude anything except that the Department, and the governnment, have become hung up on the 120,000 number despite the fact that they are well aware that it is now completely discredited, either as a national estimate of the number of "troubled families" or as a sensible guide to local policy.

The release of today's report just confirms that feeling. The figure of 120,000 is mentioned exactly twice in the 30,000 word report (pdf), once in author Louise Casey's foreword and once in the introduction. It is also mentioned twice in the 600 word press release, and twice in each of the Guardian and Mail's reports on the topic. It seems like something which has little to do with the content of the report (an admirable qualititative study of what it's like to live in an incredibly disfunctional household, but one which offers little guidance as to how widespread the problems are) and everything to do with a need to push a continuing narrative.

People like to put numbers on things, so here's one: with the actual information the DCLG has put out, we know of just 16 troubled families, the ones interviewed by Casey. Pick a number any higher than that and you're getting into the same voodoo mathematics the government has been performing for the last six months.

Syringes lie on the floor. But are they from a "troubled family"? 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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Winning Scottish independence will be even harder than before - but it may be the only choice

Independence campaigners will have to find answers on borders, currency and more. 

The Brexit mutiny has taken not just the UK economy and its relationship with Europe into uncharted waters. it has also imperilled the union between Scotland and England. From Sir John Major to the First Minister, both Unionists and Nationalists had warned of it. The outcome, though, has made this certain. The Leave vote in England and Wales contrasted with an overwhelming Remain vote north of the border.

That every region in Scotland voted to stay In was quite remarkable. Historically, fishing and industrial communities have blamed the European Union for their woes. That antagonism was probably reflected in lower turnout - an abstention rather than a rejection. 

The talk now is of a second referendum on independence. This is understandable given the current mood. Opinion polls in the Sunday Times and Sunday Post showed a Yes vote now at 52 per cent and 59 per cent respectively. Moreover, anecdotal evidence suggests even arch No vote campaigners, from JK Rowling to the Daily Record, are considering the option.

The First Minister was therefore correct to say that a second referendum is now “back on the table”. Her core supporters expects no less. However, as with the economy and Europe, the constitutional relationship between Scotland and England is now in uncharted seas. Potential support for independence may be higher, but the challenges are arguably bigger than before. The difficulties are practical, political and geographic.

Of course the Little Englanders likely to take the helm may choose a velvet divorce. However, given their desire for the return of the Glories of Britannia that’s improbable. They’re as likely to wish to see Caledonia depart, as cede Gibraltar to Spain, even though that territory voted even more overwhelmingly In.

Ticking the legal boxes

Practically, there’s the obstacle of obtaining a legal and binding referendum. The past vote was based on the Edinburgh Agreement and legislation in Westminster and Holyrood. The First Minister has indicated the democratic arguments of the rights of the Scots. However, that’s unlikely to hold much sway. A right-wing centralist Spanish government has been willing to face down demands for autonomy in Catalonia. Would the newly-emboldened Great Britain be any different?

There are no doubt ways in which democratic public support can be sought. The Scottish Government may win backing in Holyrood from the Greens. However, consent for such action would need to be obtained from the Presiding Officer and the Lord Advocate, both of whom have a key role in legislation. These office holders have changed since the first referendum, where they were both more sympathetic and the legal basis clearer. 

Getting the EU on side

The political hurdles are, also, greater this time than before. Previously the arguments were over how and when Scotland could join the EU, although all accepted ultimately she could remain or become a member. This time the demand is that Scotland should remain and the rest of the UK can depart. But will that be possible? The political earthquake that erupted south of the Border has set tectonic plates shifting, not just in the British isles but across the European continent. The fear that a Brexit would empower dark forces in the EU may come to pass. Will the EU that the UK is about to leave be there for an independent Scotland to join? We cannot know, whatever European Commission President Jean-Claude Juncker may be saying at the moment. The First Minister is right to start engaging with Europe directly. But events such as elections in France and the Netherlands are outwith her control. 

Moreover, currency was the Achilles heel in the last referendum, and hasn’t yet been addressed. George Osborne was adamant in his rejection of a currency union. The options this time round, whether a separate Scottish currency or joining the euro, have yet to be properly explored. A worsened financial situation in the 27 remaining EU members hampers the latter and the former remains politically problematic. 

The problem of borders

Geography is also an obstacle  that will be even harder to address now than before. Scotland can change its constitution, but it cannot alter its location on a shared island. In 2014, the independence argument was simply about changing the political union. Other unions, whether monarchy or social, would remain untouched. The island would remain seamless, without border posts. An independent Scotland, whether in or out of the EU, would almost certainly have to face these issues. That is a significant change from before, and the effect on public opinion unknown.

The risk that's worth it

Ultimately, the bar for a Yes vote may be higher, but the Scots may still be prepared to jump it. As with Ireland in 1920, facing any risk may be better than remaining in the British realm. Boris Johnson as Prime Minister would certainly encourage that. 

David Cameron's lack of sensitivity after the independence referendum fuelled the Scottish National Party surge. But perhaps this time, the new Government will be magnanimous towards Scotland and move to federalism. The Nordic Union offers an example to be explored. Left-wing commentators have called for a progressive alliance to remove the Tories and offer a multi-option referendum on Scotland’s constitution. But that is dependent on SNP and Labour being prepared to work together, and win the debate in England and Wales.

So, Indy Ref The Sequel is on the table. It won’t be the same as the first, and it will be more challenging. But, if there is no plausible alternative, Scots may consider it the only option.

Kenny MacAskill served as a Scottish National MSP between 2007 and 2016, and as Cabinet Secretary for Justice between 2007 and 2014.