More than one million dead in Iraq?

A new poll suggests over one million dead in Iraq since the invasion:

In the week in which General Patraeus reports back to US Congress on the impact the recent ‘surge’ is having in Iraq, a new poll reveals that more than 1,000,000 Iraqi citizens have been murdered since the invasion took place in 2003.
Previous estimates, most noticeably the one published in the Lancet in October 2006, suggested almost half this number (654,965 deaths).

These findings come from a poll released today by O.R.B., the British polling agency that have been tracking public opinion in Iraq since 2005. In conjunction with their Iraqi fieldwork agency a representative sample of 1,461 adults aged 18+ answered the following question:-

Q How many members of your household, if any, have died as a result of the conflict in Iraq since 2003 (ie as a result of violence rather than a natural death such as old age)? Please note that I mean those who were actually living under your roof.

None 78%
One 16%
Two 5%
Three 1%
Four or more 0.002%

Given that from the 2005 census there are a total of 4,050,597 households this data suggests a total of 1,220,580 deaths since the invasion in 2003.

I am skeptical because, while I'm no statistician, I find the sample rather small and the extrapolation a bit too easy. But then again, this is not my field. The controversial Lancet study, which many think also overstates the number of dead, was at least seen by specialists (although not all of them) as methodologically valid.