The graph below shows how my 2015 general election forecast probabilities have changed since October last year.* The blue line shows the probability that the Conservatives will have the largest number of seats. The corresponding red line for Labour is just the mirror image. Also included in the graph is the probability of a hung parliament.

There hasn't been much change, and the most important thing to note is that there is a lot of uncertainty. The Conservatives have the edge but 59:41 is not a whole lot better than 50:50.

What little change there has been since October has to Labour's advantage. The estimated probability of Labour being the largest party has risen from 36% from 41%. There has also been an increase in the chances of a hung parliament from 40% to 48%.

These changes in forecast probabilities are a function of both forecast shares of the vote and the estimated uncertainty in those shares. The uncertainty has declined a little since October, but is still huge. The changes in the probabilities are mostly driven by changes in the forecast shares which are shown in the graph below.

Again the main impression is of little change, both in the polls (pale lines) and the forecasts (dark lines). It is still the case that the model predicts a reversal of positions for the Conservatives and Labour and a recovery for the Liberal Democrats.

While Labour has lost about three points in the polls since October, the two governing parties haven't made any progress at all. Labour losses have largely been matched by a rise in the UKIP share.

The Conservative's failure to improve their standing in the polls since October means their forecast general election share has dropped from 38% to 36% and that is the main reason why the forecast probability that they will win has dropped.

Since the forecast Conservative lead over Labour in 2015 has also narrowed (to 5 percentage points), the probability of a hung parliament has increased.

Change in the polls relative to that predicted by the forecasting model can be thought of as a measure of party performance. It tells us whether the government is making the kind of recovery previous governments did at this stage and whether the opposition is managing to hold on to mid-term gains better or worse than previous oppositions. While Labour are now in the polls exactly where the model and the October polls suggested they should be, the governing parties are each a couple of points behind. So the government has not since October achieved the recovery from mid-term blues that history suggests they ought to have done.

But the difference between observed and predicted change over the last seven months has been small and dwarfed by the forecast uncertainty for both that period and for the year to come. So we are not much clearer about the likely outcome of the general election now than we were in October. The Conservatives still have the edge but there is still everything to play for.

*Methodological note: The graphs here use the revised method from the February 2014 working paper. I have gone back and reconstructed the series of forecasts from October 2013 to February 2014 with the February method rather than use the published forecasts. This is not to try to change history but just to compare like with like. The original October 2013 working paper is here.

## Friday, 25 April 2014

## Friday, 4 April 2014

### A long range forecast for the UKIP share of the vote at the 2015 general election

Previous posts at this blog introduce my long-range general election forecasting model, which is updated on Fridays at http://users.ox.ac.uk/~nuff0084/ge15forecast/.

Thus far I haven't published a forecast of the UKIP share of vote because the party hasn't been competing in general elections for long enough to build a proper statistical regression model of the relationship between their support in the polls and their votes at elections, as for the three main parties. But the forecast has nonetheless been suggesting a combined 'Others' share of the vote around 17% at the next election.

This estimate is naturally heavily dependent of the current fortunes of UKIP in the opinion polls. So there is a case for estimating the UKIP share of the vote in 2015 using their current share of the combined Others share in the polls. This will now be a regular feature of the published forecast.

As you can see from the current forecast below, UKIP are at 12% in the current UKpollingreport.co.uk polling average. This is 60% of the combined Others total of 20 percentage points. Since the current forecast for all Others combined is 17.0%, the UKIP forecast share is 0.6*17 = 10.2%.

I still haven't decided how best to estimate prediction intervals for the Others and UKIP, but they are likely to be of a similar size to those for the main parties, i.e. plus or minus 8 percentage points.

Despite forecasting a substantial increase in the share of the vote for UKIP, the model is not forecasting any seats for UKIP in 2015. This is despite attributing all of the increase in the Others share to UKIP wherever it was the largest Other party in 2010. This reflects the very flat distribution of the UKIP vote across constituencies in 2010.

Whether the UKIP vote will be similarly evenly spread in 2015, or whether they will be able to mount successful campaigns in selected seats remains to be seen. It is certainly something that can't be predicted this far from the election with the statistical technology this forecasting model is based on.

Date of forecast: 04.04.2014

Days till the election: 398

Con : 33

Lab : 37

LD : 10

Oth : 20

UKIP: 12 so UKIP share of combined Others vote is .6

Con : 36.9 plus or minus 8.4 i.e. between 29 and 45

Lab : 31.8 plus or minus 6.3 i.e. between 26 and 38

LD : 14.3 plus or minus 9.9 i.e. between 4 and 24

Implied point estimate shares for:

Others combined: 17.0

UKIP : 10.2 (based on share of combined Others vote.)

Con : 308

Lab : 283

LD : 31

Con largest party, but short of a majority by 18

Assuming LD share at 14.3 and Other share at 17 and allowing Con and Lab to vary as per intervals above.

Con between 218 and 413

Lab between 185 and 368

LD between 25 and 39

Pr(Con largest party) = 60%

Pr(Lab largest party) = 40%

Pr(Con majority) = 35%

Pr(Lab majority) = 19%

Pr(Hung parliament) = 46%

Pr(Hung parliament with Con largest party) = 25%

Pr(Hung parliament with Lab largest party) = 21%

Thus far I haven't published a forecast of the UKIP share of vote because the party hasn't been competing in general elections for long enough to build a proper statistical regression model of the relationship between their support in the polls and their votes at elections, as for the three main parties. But the forecast has nonetheless been suggesting a combined 'Others' share of the vote around 17% at the next election.

This estimate is naturally heavily dependent of the current fortunes of UKIP in the opinion polls. So there is a case for estimating the UKIP share of the vote in 2015 using their current share of the combined Others share in the polls. This will now be a regular feature of the published forecast.

As you can see from the current forecast below, UKIP are at 12% in the current UKpollingreport.co.uk polling average. This is 60% of the combined Others total of 20 percentage points. Since the current forecast for all Others combined is 17.0%, the UKIP forecast share is 0.6*17 = 10.2%.

I still haven't decided how best to estimate prediction intervals for the Others and UKIP, but they are likely to be of a similar size to those for the main parties, i.e. plus or minus 8 percentage points.

Despite forecasting a substantial increase in the share of the vote for UKIP, the model is not forecasting any seats for UKIP in 2015. This is despite attributing all of the increase in the Others share to UKIP wherever it was the largest Other party in 2010. This reflects the very flat distribution of the UKIP vote across constituencies in 2010.

Whether the UKIP vote will be similarly evenly spread in 2015, or whether they will be able to mount successful campaigns in selected seats remains to be seen. It is certainly something that can't be predicted this far from the election with the statistical technology this forecasting model is based on.

Date of forecast: 04.04.2014

Days till the election: 398

**Inputted current average poll shares**Con : 33

Lab : 37

LD : 10

Oth : 20

UKIP: 12 so UKIP share of combined Others vote is .6

**Forecast Election Day Shares with 95% Prediction Intervals**Con : 36.9 plus or minus 8.4 i.e. between 29 and 45

Lab : 31.8 plus or minus 6.3 i.e. between 26 and 38

LD : 14.3 plus or minus 9.9 i.e. between 4 and 24

Implied point estimate shares for:

Others combined: 17.0

UKIP : 10.2 (based on share of combined Others vote.)

**Forecast Election Day Seats**Con : 308

Lab : 283

LD : 31

Con largest party, but short of a majority by 18

**Forecast Election Day Seats with approximate 95% Prediction Intervals**Assuming LD share at 14.3 and Other share at 17 and allowing Con and Lab to vary as per intervals above.

Con between 218 and 413

Lab between 185 and 368

LD between 25 and 39

**Approximate probabilities of key outcomes**Pr(Con largest party) = 60%

Pr(Lab largest party) = 40%

Pr(Con majority) = 35%

Pr(Lab majority) = 19%

Pr(Hung parliament) = 46%

Pr(Hung parliament with Con largest party) = 25%

Pr(Hung parliament with Lab largest party) = 21%

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